Abstract
Our understanding of processes occurring in the heliosphere historically began with reduced dimensionality - one-dimensional (1D) and two-dimensional (2D) sketches and models, which aimed to illustrate views on large-scale structures in the solar wind. However, any reduced dimensionality vision of the heliosphere limits the possible interpretations of in-situ observations. Accounting for non-planar structures, e.g. current sheets, magnetic islands, flux ropes as well as plasma bubbles, is decisive to shed the light on a variety of phenomena, such as particle acceleration and energy dissipation. In part I of this review, we have described in detail the ubiquitous and multi-scale observations of these magnetic structures in the solar wind and their significance for the acceleration of charged particles. Here, in part II, we elucidate existing theoretical paradigms of the structure of the solar wind and the interplanetary magnetic field, with particular attention to the fine structure and stability of current sheets. Differences in 2D and 3D views of processes associated with current sheets, magnetic islands and flux ropes are discussed. We finally review the results of numerical simulations and in-situ observations, pointing out the complex nature of magnetic reconnection and particle acceleration in a strongly turbulent environment.
Similar content being viewed by others
Data availability
All data and material used are from public open-access data depositories and archives (see Acknowledgements for details).
Code availability
Not applicable.
References
L. Adhikari, G.P. Zank, P. Hunana, D. Shiota, R. Bruno, Q. Hu, D. Telloni, II. Transport of nearly incompressible magnetohydrodynamic turbulence from 1 to 75 au. Astrophys. J. 841, 85 (2017). https://doi.org/10.3847/1538-4357/aa6f5d
L. Adhikari, O. Khabarova, G.P. Zank, L.L. Zhao, The role of magnetic reconnection-associated processes in local particle acceleration in the solar wind. Astrophys. J. 873(1), 72 (2019). https://doi.org/10.3847/1538-4357/ab05c6
O. Alexandrova, V. Carbone, P. Veltri, L. Sorriso-Valvo, Small scale energy cascade of the solar wind turbulence. Astrophys. J. 674, 1153–1157 (2008). https://doi.org/10.1086/524056
T. Amano, T. Katou, N. Kitamura, M. Oka, Y. Matsumoto, M. Hoshino, Y. Saito, S. Yokota, B.L. Giles, W.R. Paterson, C.T. Russell, O. Le Contel, R.E. Ergun, P.A. Lindqvist, D.L. Turner, J.F. Fennell, J.B. Blake, Observational evidence for stochastic shock drift acceleration of electrons at the Earth’s bow shock. Phys. Rev. Lett. 124(6), 065101 (2020). https://doi.org/10.1103/PhysRevLett.124.065101. arXiv:2002.06787
J. Ambrosiano, W.H. Matthaeus, M.L. Goldstein, D. Plante, Test particle acceleration in turbulent reconnecting magnetic fields. J. Geophys. Res. 93, 14383–14400 (1988). https://doi.org/10.1029/JA093iA12p14383
N. Andrés, F. Sahraoui, S. Galtier, L.Z. Hadid, R. Ferrand, S.Y. Huang, Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory. Phys. Rev. Lett. 123(24), 245101 (2019). https://doi.org/10.1103/PhysRevLett.123.245101. arXiv:1911.09749
S.K. Antiochos, C.R. DeVore, The role of magnetic reconnection in solar activity, in Washington DC American Geophysical Union Geophysical Monograph Series, vol. 199 (1999), pp. 113–120. arXiv:astro-ph/9809161
S.V. Apatenkov, V.A. Sergeev, M.V. Kubyshkina, R. Nakamura, W. Baumjohann, A. Runov, I. Alexeev, A. Fazakerley, H. Frey, S. Muhlbachler, P.W. Daly, J.A. Sauvaud, N. Ganushkina, T. Pulkkinen, G.D. Reeves, Y. Khotyaintsev, Multi-spacecraft observation of plasma dipolarization/injection in the inner magnetosphere. Ann. Geophys. 25(3), 801–814 (2007). https://hal.archives-ouvertes.fr/hal-00330123
A.V. Artemyev, A.A. Petrukovich, L. Zelenyi, R. Nakamura, H. Malova, V.Y. Popov, Thin embedded current sheets: Cluster observations of ion kinetic structure and analytical models. Ann. Geophys. 27(10), 4075–4087 (2009a). https://doi.org/10.5194/angeo-27-4075-2009
A.V. Artemyev, L.M. Zelenyi, H.V. Malova, G. Zimbardo, D. Delcourt, Acceleration and transport of ions in turbulent current sheets: Formation of non-Maxwellian energy distribution. Nonlinear Process. Geophys. 16(6), 631–639 (2009b). https://doi.org/10.5194/npg-16-631-2009. https://www.nonlin-processes-geophys.net/16/631/2009/
M. Ashour-Abdalla, J.P. Berchem, J. Buechner, L.M. Zelenyi, Shaping of the magnetotail from the mantle: Global and local structuring. J. Geophys. Res. 98(A4), 5651–5676 (1993). https://doi.org/10.1029/92JA01662
N. Aunai, M. Hesse, M. Kuznetsova, Electron nongyrotropy in the context of collisionless magnetic reconnection. Phys. Plasmas 20(9), 092903 (2013). https://doi.org/10.1063/1.4820953
D. Ball, L. Sironi, F. Özel, Electron and proton acceleration in trans-relativistic magnetic reconnection: Dependence on plasma beta and magnetization. Astrophys. J. 862(1), 80 (2018). https://doi.org/10.3847/1538-4357/aac820
R. Bandyopadhyay, W.H. Matthaeus, T.N. Parashar, Y. Yang, A. Chasapis, B.L. Giles, D.J. Gershman, C.J. Pollock, C.T. Russell, R.J. Strangeway, R.B. Torbert, T.E. Moore, J.L. Burch, Statistics of kinetic dissipation in the Earth’s magnetosheath: MMS observations. Phys. Rev. Lett. 124(25), 255101 (2020a). https://doi.org/10.1103/PhysRevLett.124.255101. arXiv:2005.09232
R. Bandyopadhyay, R.A. Qudsi, W.H. Matthaeus, T.N. Parashar, B.A. Maruca, S.P. Gary, V. Roytershteyn, A. Chasapis, B.L. Giles, D.J. Gershman, C.J. Pollock, C.T. Russell, R.J. Strangeway, R.B. Torbert, T.E. Moore, J.L. Burch, Interplay of turbulence and proton-microinstability growth in space plasmas (2020b). arXiv:e-prints. arXiv:2006.10316
G. Batchelor, Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 74(1), 1–29 (1976)
M. Battarbee, S. Dalla, M.S. Marsh, Solar energetic particle transport near a heliospheric current sheet. Astrophys. J. 836(1), 138 (2017). https://doi.org/10.3847/1538-4357/836/1/138
M. Battarbee, S. Dalla, M.S. Marsh, Modeling solar energetic particle transport near a wavy heliospheric current sheet. Astrophys. J. 854(1), 23 (2018). https://doi.org/10.3847/1538-4357/aaa3fa. arXiv:1712.03729
W. Baumjohann, A. Matsuoka, K.H. Glassmeier, C.T. Russell, T. Nagai, M. Hoshino, T. Nakagawa, A. Balogh, J.A. Slavin, R. Nakamura, W. Magnes, The magnetosphere of Mercury and its solar wind environment: Open issues and scientific questions. Adv. Space Res. 38(4), 604–609 (2006). https://doi.org/10.1016/j.asr.2005.05.117
K.W. Behannon, F.M. Neubauer, H. Barnstorf, Fine-scale characteristics of interplanetary sector boundaries. J. Geophys. Res. 86(A5), 3273–3287 (1981). https://doi.org/10.1029/JA086iA05p03273
H.J. Beinroth, F.M. Neubauer, Properties of whistler mode waves between 0.3 and 1.0 au from Helios observations. J. Geophys. Res. Space Phys. 86(A9), 7755–7760 (1981). https://doi.org/10.1029/JA086iA09p07755. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/JA086iA09p07755
A.R. Bell, The acceleration of cosmic rays in shock fronts - I. Mon. Not. R. Astron. Soc. 182, 147–156 (1978a). https://doi.org/10.1093/mnras/182.2.147
A.R. Bell, The acceleration of cosmic rays in shock fronts - II. Mon. Not. R. Astron. Soc. 182, 443–455 (1978b). https://doi.org/10.1093/mnras/182.3.443
S. Benella, C. Grimani, M. Laurenza, G. Consolini, Grad-Shafranov reconstruction of a magnetic cloud: Effects of the magnetic-field topology on the galactic cosmic-ray intensity. Nuovo Cimento C 42(1), 44 (2019). https://doi.org/10.1393/ncc/i2019-19044-7
J.W. Bieber, W.H. Matthaeus, Perpendicular diffusion and drift at intermediate cosmic-ray energies. Astrophys. J. 485(2), 655–659 (1997). https://doi.org/10.1086/304464
J.W. Bieber, W.H. Matthaeus, C.W. Smith, W. Wanner, M. Kallenrode, G. Wibberenz, Proton and electron mean free paths: The Palmer consensus revisited. Astrophys. J. 420, 294–306 (1994). https://doi.org/10.1086/173559
J.W. Bieber, W. Wanner, W.H. Matthaeus, Dominant two-dimensional solar wind turbulence with implications for cosmic ray transport. J. Geophys. Res. 101, 2511–2522 (1996). https://doi.org/10.1029/95JA02588
J. Birn, M. Hesse, K. Schindler, Filamentary structure of a three-dimensional plasmoid. J. Geophys. Res. 94, 241 (1989)
J. Birn, J. Drake, M. Shay, B. Rogers, R. Denton, M. Hesse, M. Kuznetsova, Z. Ma, A. Bhattacharjee, A. Otto et al., Geospace environmental modeling (gem) magnetic reconnection challenge. J. Geophys. Res. Space Phys. 106(A3), 3715–3719 (2001)
R.D. Blandford, J.P. Ostriker, Particle acceleration by astrophysical shocks. Astrophys. J. Lett. 221, L29–L32 (1978). https://doi.org/10.1086/182658
D. Borgogno, D. Grasso, F. Porcelli, F. Califano, F. Pegoraro, D. Farina, Aspects of three-dimensional magnetic reconnection. Phys. Plasmas 12(3), 032309 (2005). https://doi.org/10.1063/1.1857912
J.E. Borovsky, Flux tube texture of the solar wind: Strands of the magnetic carpet at 1 AU? J. Geophys. Res. Space Phys. 113(A8), A08110 (2008). https://doi.org/10.1029/2007JA012684
S. Braginskii, Transport processes in a plasma. Rev. Plasma Phys. 1, 205 (1965)
H. Breuillard, L. Matteini, M.R. Argall, F. Sahraoui, M. Andriopoulou, O.L. Contel, A. Retinò, L. Mirioni, S.Y. Huang, D.J. Gershman, R.E. Ergun, F.D. Wilder, K.A. Goodrich, N. Ahmadi, E. Yordanova, A. Vaivads, D.L. Turner, Y.V. Khotyaintsev, D.B. Graham, P.A. Lindqvist, A. Chasapis, J.L. Burch, R.B. Torbert, C.T. Russell, W. Magnes, R.J. Strangeway, F. Plaschke, T.E. Moore, B.L. Giles, W.R. Paterson, C.J. Pollock, B. Lavraud, S.A. Fuselier, I.J. Cohen, New insights into the nature of turbulence in the Earth’s magnetosheath using magnetospheric MultiScale mission data. Astrophys. J. 859(2), 127 (2018). https://doi.org/10.3847/1538-4357/aabae8
M.R. Brown, C.D. Cothran, J. Fung, Two fluid effects on three-dimensional reconnection in the Swarthmore Spheromak Experiment with comparisons to space data. Phys. Plasmas 13(5), 056503 (2006). https://doi.org/10.1063/1.2180729
R. Bruno, V. Carbone, Turbulence in the Solar Wind (Springer, Berlin, 2016). https://doi.org/10.1007/978-3-319-43440-7
R. Bruno, V. Carbone, P. Veltri, E. Pietropaolo, B. Bavassano, Identifying intermittency events in the solar wind. Planet. Space Sci. 49(12), 1201–1210 (2001). https://doi.org/10.1016/S0032-0633(01)00061-7
J. Büchner, J.P. Kuska, Sausage mode instability of thin current sheets as a cause of magnetospheric substorms. Ann. Geophys. 17(5), 604–612 (1999). https://doi.org/10.1007/s00585-999-0604-5
J. Buechner, L.M. Zelenyi, Regular and chaotic charged particle motion in magnetotaillike field reversals. 1. Basic theory of trapped motion. J. Geophys. Res. 94(A9), 11821–11842 (1989). https://doi.org/10.1029/JA094iA09p11821
J.L. Burch, T.D. Phan, Magnetic reconnection at the dayside magnetopause: Advances with MMS. Geophys. Res. Lett. 43(16), 8327–8338 (2016). https://doi.org/10.1002/2016GL069787
J.L. Burch, T.E. Moore, R.B. Torbert, B.L. Giles, Magnetospheric multiscale overview and science objectives. Space Sci. Rev. 199, 5–21 (2016a). https://doi.org/10.1007/s11214-015-0164-9
J. Burch, R. Torbert, T. Phan, L.J. Chen, T. Moore, R. Ergun, J. Eastwood, D. Gershman, P. Cassak, M. Argall et al., Electron-scale measurements of magnetic reconnection in space. Science 352(6290), aaf2939 (2016b)
R.A. Burger, Modeling drift along the heliospheric wavy neutral sheet. Astrophys. J. 760(1), 60 (2012). https://doi.org/10.1088/0004-637X/760/1/60
R.A. Burger, D.J. Visser, Reduction of drift effects due to solar wind turbulence. Astrophys. J. 725(1), 1366–1372 (2010). https://doi.org/10.1088/0004-637X/725/1/1366
R.A. Burger, H. Moraal, G.M. Webb, Drift theory of charged particles in electric and magnetic fields. Astrophys. Space Sci. 116(1), 107–129 (1985). https://doi.org/10.1007/BF00649278
R.A. Burger, T.P.J. Krüger, M. Hitge, N.E. Engelbrecht, A Fisk-Parker hybrid heliospheric magnetic field with a solar-cycle dependence. Astrophys. J. 674(1), 511–519 (2008). https://doi.org/10.1086/525039
D. Burgess, Shock drift acceleration at low energies. J. Geophys. Res. 92(A2), 1119–1130 (1987). https://doi.org/10.1029/JA092iA02p01119
R.A. Caballero-Lopez, N.E. Engelbrecht, J.D. Richardson, Correlation of long-term cosmic-ray modulation with solar activity parameters. Astrophys. J. 883(1), 73 (2019). https://doi.org/10.3847/1538-4357/ab3c57
F. Califano, S.S. Cerri, M. Faganello, D. Laveder, M. Sisti, M.W. Kunz, Electron-only reconnection in plasma turbulence. Front. Phys. 8, 317 (2020). https://doi.org/10.3389/fphy.2020.00317
V. Carbone, P. Veltri, A shell model for anisotropic magnetohydrodynamic turbulence. Geophys. Astrophys. Fluid Dyn. 52(1–3), 153–181 (1990)
M.L. Cartwright, M.B. Moldwin, Heliospheric evolution of solar wind small-scale magnetic flux ropes. J. Geophys. Res. 115, A08102 (2010)
P.A. Cassak, M.A. Shay, J.F. Drake, Catastrophe model for fast magnetic reconnection onset. Phys. Rev. Lett. 95, 235002 (2005). https://doi.org/10.1103/PhysRevLett.95.235002
P.A. Cassak, J.F. Drake, M.A. Shay, B. Eckhardt, Onset of fast magnetic reconnection. Phys. Rev. Lett. 98, 215001 (2007). https://doi.org/10.1103/PhysRevLett.98.215001
F. Catapano, A.V. Artemyev, G. Zimbardo, I.Y. Vasko, Current sheets with inhomogeneous plasma temperature: Effects of polarization electric field and 2D solutions. Phys. Plasmas 22(9), 092905 (2015). https://doi.org/10.1063/1.4931736
F. Catapano, G. Zimbardo, S. Perri, A. Greco, A.V. Artemyev, Proton and heavy ion acceleration by stochastic fluctuations in the Earth’s magnetotail. Ann. Geophys. 34(10), 917–926 (2016). https://doi.org/10.5194/angeo-34-917-2016
F. Catapano, G. Zimbardo, S. Perri, A. Greco, D. Delcourt, A. Retinò, I.J. Cohen, Charge proportional and weakly mass-dependent acceleration of different ion species in the Earth’s magnetotail. Geophys. Res. Lett. 44(20), 10108–10115 (2017). https://doi.org/10.1002/2017GL075092. arXiv:1709.09926
S.S. Cerri, F. Califano, Reconnection and small-scale fields in 2D-3V hybrid-kinetic driven turbulence simulations. New J. Phys. 19(2), 025007 (2017). https://doi.org/10.1088/1367-2630/aa5c4a
S.S. Cerri, S. Servidio, F. Califano, Kinetic cascade in solar-wind turbulence: 3D3V hybrid-kinetic simulations with electron inertia. Astrophys. J. 846(2), L18 (2017). https://doi.org/10.3847/2041-8213/aa87b0
S.S. Cerri, M.W. Kunz, F. Califano, Dual phase-space cascades in 3D hybrid-Vlasov–Maxwell turbulence. Astrophys. J. 856(1), L13 (2018). https://doi.org/10.3847/2041-8213/aab557
B.D.G. Chandran, B. Li, B.N. Rogers, E. Quataert, K. Germaschewski, Perpendicular ion heating by low-frequency Alfvén-wave turbulence in the solar wind. Astrophys. J. 720, 503–515 (2010). https://doi.org/10.1088/0004-637X/720/1/503. arXiv:1001.2069
S. Chandrasekhar, Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15(1), 1 (1943)
A. Chasapis, W.H. Matthaeus, T.N. Parashar, M. Wan, C.C. Haggerty, C.J. Pollock, B.L. Giles, W.R. Paterson, J. Dorelli, D.J. Gershman, R.B. Torbert, C.T. Russell, P.A. Lindqvist, Y. Khotyaintsev, T.E. Moore, R.E. Ergun, J.L. Burch, In situ observation of intermittent dissipation at kinetic scales in the Earth’s magnetosheath. Astrophys. J. 856(1), L19 (2018a). https://doi.org/10.3847/2041-8213/aaadf8
A. Chasapis, Y. Yang, W.H. Matthaeus, T.N. Parashar, C.C. Haggerty, J.L. Burch, T.E. Moore, C.J. Pollock, J. Dorelli, D.J. Gershman, R.B. Torbert, C.T. Russell, Energy conversion and collisionless plasma dissipation channels in the turbulent magnetosheath observed by the magnetospheric multiscale mission. Astrophys. J. 862(1), 32 (2018b). https://doi.org/10.3847/1538-4357/aac775
C.H.K. Chen, S. Boldyrev, Q. Xia, J.C. Perez, Nature of subproton scale turbulence in the solar wind. Phys. Rev. Lett. 110, 225002 (2013). https://doi.org/10.1103/PhysRevLett.110.225002
Y. Chen, Q. Hu, J.A. le Roux, Analysis of small-scale magnetic flux ropes covering the whole Ulysses mission. Astrophys. J. 881(1), 58 (2019a). https://doi.org/10.3847/1538-4357/ab2ccf. arXiv:1905.00986
C.H.K. Chen, K.G. Klein, G.G. Howes, Evidence for electron Landau damping in space plasma turbulence. Nat. Commun. 10, 740 (2019b). https://doi.org/10.1038/s41467-019-08435-3. arXiv:1902.05785
L.J. Chen, S. Wang, M. Hesse, R.E. Ergun, T. Moore, B. Giles, N. Bessho, C. Russell, J. Burch, R.B. Torbert, K.J. Genestreti, W. Paterson, C. Pollock, B. Lavraud, O. Le Contel, R. Strangeway, Y.V. Khotyaintsev, P.A. Lindqvist, Electron diffusion regions in magnetotail reconnection under varying guide fields. Geophys. Res. Lett. 46(12), 6230–6238 (2019c). https://doi.org/10.1029/2019GL082393
R. Chhiber, A. Usmanov, W. Matthaeus, M. Goldstein, Solar wind collisional age from a global magnetohydrodynamics simulation. Astrophys. J. 821(1), 34 (2016). https://doi.org/10.3847/0004-637x/821/1/34
R. Chhiber, A.V. Usmanov, W.H. Matthaeus, T.N. Parashar, M.L. Goldstein, Contextual predictions for Parker solar probe. II. Turbulence properties and Taylor hypothesis. Astrophys. J. Suppl. Ser. 242(1), 12 (2019). https://doi.org/10.3847/1538-4365/ab16d7. arXiv:1902.03340
S.P. Christon, D.J. Williams, D.G. Mitchell, L.A. Frank, C.Y. Huang, Spectral characteristics of plasma sheet ion and electron populations during undisturbed geomagnetic conditions. J. Geophys. Res. 94(A10), 13409–13424 (1989). https://doi.org/10.1029/JA094iA10p13409
M.R. Collier, Evolution of kappa distributions under velocity space diffusion: A model for the observed relationship between their spectral parameters. J. Geophys. Res. 104(A12), 28559–28564 (1999). https://doi.org/10.1029/1999JA900355
L. Comisso, L. Sironi, Particle acceleration in relativistic plasma turbulence. Phys. Rev. Lett. 121(25), 255101 (2018)
L. Comisso, L. Sironi, The interplay of magnetically dominated turbulence and magnetic reconnection in producing nonthermal particles. Astrophys. J. 886(2), 122 (2019). https://doi.org/10.3847/1538-4357/ab4c33
B. Coppi, G. Laval, R. Pellat, Dynamics of the geomagnetic tail. Phys. Rev. Lett. 16, 1207–1210 (1966). https://doi.org/10.1103/PhysRevLett.16.1207
F.V. Coroniti, On the tearing mode in quasi-neutral sheets. J. Geophys. Res. 85(A12), 6719–6728 (1980). https://doi.org/10.1029/JA085iA12p06719
S.W.H. Cowley, J.P. Shull, Current sheet acceleration of ions in the geomagnetic tail and the properties of ion bursts observed at the lunar distance. Planet. Space Sci. 31(2), 235–245 (1983). https://doi.org/10.1016/0032-0633(83)90058-2
N.U. Crooker, G.L. Siscoe, S. Shodhan, D.F. Webb, J.T. Gosling, E.J. Smith, Multiple heliospheric current sheets and coronal streamer belt dynamics. J. Geophys. Res. 98(A6), 9371–9382 (1993). https://doi.org/10.1029/93JA00636
N.U. Crooker, S.W. Kahler, D.E. Larson, R.P. Lin, Large-scale magnetic field inversions at sector boundaries. J. Geophys. Res. Space Phys. 109(A3), A03108 (2004). https://doi.org/10.1029/2003JA010278
S. Curtis, The Magnetospheric Multiscale Mission. Resolving Fundamental Processes in Space Plasmas (NASA Goddard Space Flight Center, 1999)
R.B. Dahlburg, J.T. Karpen, A triple current sheet model for adjoining coronal helmet streamers. J. Geophys. Res. 100(A12), 23489–23498 (1995). https://doi.org/10.1029/95JA02496
J.T. Dahlin, J.F. Drake, M. Swisdak, Parallel electric fields are inefficient drivers of energetic electrons in magnetic reconnection. Phys. Plasmas 23, 120704 (2016)
J.T. Dahlin, J.F. Drake, M. Swisdak, The role of three-dimensional transport in driving enhanced electron acceleration during magnetic reconnection. Phys. Plasmas 24, 092110 (2017)
L.K.S. Daldorff, G. Tóth, T.I. Gombosi, G. Lapenta, J. Amaya, S. Markidis, J.U. Brackbill, Two-way coupling of a global Hall magnetohydrodynamics model with a local implicit particle-in-cell model. J. Comput. Phys. 268, 236–254 (2014). https://doi.org/10.1016/j.jcp.2014.03.009
S. Dalena, A. Greco, A.F. Rappazzo, R.L. Mace, W.H. Matthaeus, Magnetic moment nonconservation in magnetohydrodynamic turbulence models. Phys. Rev. E 86(1, Part 2), 016402 (2012). https://doi.org/10.1103/PhysRevE.86.016402
S. Dalena, A.F. Rappazzo, P. Dmitruk, A. Greco, W.H. Matthaeus, Test-particle acceleration in a hierarchical three-dimensional turbulence model. Astrophys. J. 783, 143 (2014). https://doi.org/10.1088/0004-637X/783/2/143. arXiv:1402.3745
S. Dalla, M.S. Marsh, J. Kelly, T. Laitinen, Solar energetic particle drifts in the Parker spiral. J. Geophys. Res. Space Phys. 118(10), 5979–5985 (2013). https://doi.org/10.1002/jgra.50589. arXiv:1307.2165
W. Daughton, The unstable eigenmodes of a neutral sheet. Phys. Plasmas 6(4), 1329–1343 (1999). https://doi.org/10.1063/1.873374
W. Daughton, V. Roytershteyn, H. Karimabadi, L. Yin, B.J. Albright, B. Bergen, K.J. Bowers, Role of electron physics in the development of turbulent magnetic reconnection in collisionless plasmas. Nat. Phys. 7, 539–542 (2011). https://doi.org/10.1038/nphys1965
D.C. Delcourt, Particle acceleration by inductive electric fields in the inner magnetosphere. J. Atmos. Sol.-Terr. Phys. 64(5–6), 551–559 (2002). https://doi.org/10.1016/S1364-6826(02)00012-3
D.C. Delcourt, J.A. Sauvaud, Plasma sheet ion energization during dipolarization events. J. Geophys. Res. 99(A1), 97–108 (1994). https://doi.org/10.1029/93JA01895
D.C. Delcourt, K. Seki, N. Terada, Y. Miyoshi, Electron dynamics during substorm dipolarization in Mercury’s magnetosphere. Ann. Geophys. 23(10), 3389–3398 (2005). https://doi.org/10.5194/angeo-23-3389-2005
G. Delzanno, Multi-dimensional, fully-implicit, spectral method for the Vlasov–Maxwell equations with exact conservation laws in discrete form. J. Comput. Phys. 301, 338–356 (2015). https://doi.org/10.1016/j.jcp.2015.07.028
P. Dmitruk, W.H. Matthaeus, Structure of the electromagnetic field in three-dimensional Hall magnetohydrodynamic turbulence. Phys. Plasmas 13(4), 042307 (2006). https://doi.org/10.1063/1.2192757
P. Dmitruk, W.H. Matthaeus, N. Seenu, Test particle energization by current sheets and nonuniform fields in magnetohydrodynamic turbulence. Astrophys. J. 617, 667–679 (2004). https://doi.org/10.1086/425301
M. Dobrowolny, A. Mangeney, P. Veltri, Fully developed anisotropic hydromagnetic turbulence in interplanetary space. Phys. Rev. Lett. 45(2), 144–147 (1980a). https://doi.org/10.1103/PhysRevLett.45.144
M. Dobrowolny, A. Mangeney, P. Veltri, Properties of magnetohydrodynamic turbulence in the solar wind. Astron. Astrophys. 83(1–2), 26–32 (1980b)
S. Donato, S. Servidio, P. Dmitruk, V. Carbone, M.A. Shay, P.A. Cassak, W.H. Matthaeus, Reconnection events in two-dimensional Hall magnetohydrodynamic turbulence. Phys. Plasmas 19(9), 092307 (2012). https://doi.org/10.1063/1.4754151
J.F. Drake, J. Gerber, R.G. Kleva, Turbulence and transport in the magnetopause current layer. J. Geophys. Res. 99(A6), 11211–11224 (1994). https://doi.org/10.1029/93JA03253
J.F. Drake, M. Swisdak, H. Che, M.A. Shay, Electron acceleration from contracting magnetic islands during reconnection. Nature 443(7111), 553–556 (2006a). https://doi.org/10.1038/nature05116
J. Drake, M. Swisdak, K. Schoeffler, B. Rogers, S. Kobayashi, Formation of secondary islands during magnetic reconnection. Geophys. Res. Lett. 33(13), L13105 (2006b)
J.F. Drake, M. Opher, M. Swisdak, J.N. Chamoun, A magnetic reconnection mechanism for the generation of anomalous cosmic rays. Astrophys. J. 709, 963–974 (2010). https://doi.org/10.1088/0004-637X/709/2/963. arXiv:0911.3098
J.F. Drake, M. Swisdak, R. Fermo, The power-law spectra of energetic particles during multi-island magnetic reconnection. Astrophys. J. 763, L5 (2013). https://doi.org/10.1088/2041-8205/763/1/L5. arXiv:1210.4830
J.F. Drake, M. Swisdak, P.A. Cassak, T.D. Phan, On the 3-D structure and dissipation of reconnection-driven flow bursts. Geophys. Res. Lett. 41(11), 3710–3716 (2014). https://doi.org/10.1002/2014GL060249. arXiv:1401.7056
J.F. Drake, H. Arnold, M. Swisdak, J.T. Dahlin, A computational model for exploring particle acceleration during reconnection in macroscale systems. Phys. Plasmas 26(1), 012901 (2019). https://doi.org/10.1063/1.5058140. arXiv:1809.04568
S. Du, F. Guo, G.P. Zank, X. Li, A. Stanier, Plasma energization in colliding magnetic flux ropes. Astrophys. J. 867, 16 (2018)
A. Dundovic, O. Pezzi, P. Blasi, C. Evoli, W.H. Matthaeus, Novel aspects of cosmic ray diffusion in synthetic magnetic turbulence. Phys. Rev. D 102, 103016 (2020). https://doi.org/10.1103/PhysRevD.102.103016
J.P. Eastwood, T.D. Phan, P.A. Cassak, D.J. Gershman, C. Haggerty, K. Malakit, M.A. Shay, R. Mistry, M. Øieroset, C.T. Russell, J.A. Slavin, M.R. Argall, L.A. Avanov, J.L. Burch, L.J. Chen, J.C. Dorelli, R.E. Ergun, B.L. Giles, Y. Khotyaintsev, B. Lavraud, P.A. Lindqvist, T.E. Moore, R. Nakamura, W. Paterson, C. Pollock, R.J. Strangeway, R.B. Torbert, S. Wang, Ion-scale secondary flux ropes generated by magnetopause reconnection as resolved by MMS. Geophys. Res. Lett. 43(10), 4716–4724 (2016). https://doi.org/10.1002/2016GL068747
F. Effenberger, Y.E. Litvinenko, The diffusion approximation versus the telegraph equation for modeling solar energetic particle transport with adiabatic focusing. I. Isotropic pitch-angle scattering. Astrophys. J. 783, 15 (2014)
N.E. Engelbrecht, On the pitch-angle-dependent perpendicular diffusion coefficients of solar energetic protons in the inner heliosphere. Astrophys. J. 880(1), 60 (2019a). https://doi.org/10.3847/1538-4357/ab2871
N.E. Engelbrecht, The implications of simple estimates of the 2D outerscale based on measurements of magnetic islands for the modulation of galactic cosmic-ray electrons. Astrophys. J. 872(2), 124 (2019b). https://doi.org/10.3847/1538-4357/aafe7f
N.E. Engelbrecht, R.A. Burger, An ab initio model for cosmic-ray modulation. Astrophys. J. 772, 46 (2013). https://doi.org/10.1088/0004-637X/772/1/46
N.E. Engelbrecht, R.A. Burger, Sensitivity of cosmic-ray proton spectra to the low-wavenumber behavior of the 2D turbulence power spectrum. Astrophys. J. 814(2), 152 (2015). https://doi.org/10.1088/0004-637X/814/2/152
N.E. Engelbrecht, R.D. Strauss, J.A. le Roux, R.A. Burger, Toward a greater understanding of the reduction of drift coefficients in the presence of turbulence. Astrophys. J. 841(2), 107 (2017). https://doi.org/10.3847/1538-4357/aa7058
N.E. Engelbrecht, S.T. Mohlolo, S.E.S. Ferreira, An improved treatment of neutral sheet drift in the inner heliosphere. Astrophys. J. Lett. 884(2), L54 (2019). https://doi.org/10.3847/2041-8213/ab4ad6
R.E. Ergun, N. Ahmadi, L. Kromyda, S.J. Schwartz, A. Chasapis, S. Hoilijoki, F.D. Wilder, P.A. Cassak, J.E. Stawarz, K.A. Goodrich, D.L. Turner, F. Pucci, A. Pouquet, W.H. Matthaeus, J.F. Drake, M. Hesse, M.A. Shay, R.B. Torbert, J.L. Burch, Particle acceleration in strong turbulence in the Earth’s magnetotail. Astrophys. J. 898(2), 153 (2020a). https://doi.org/10.3847/1538-4357/ab9ab5
R.E. Ergun, N. Ahmadi, L. Kromyda, S.J. Schwartz, A. Chasapis, S. Hoilijoki, F.D. Wilder, J.E. Stawarz, K.A. Goodrich, D.L. Turner, I.J. Cohen, S.T. Bingham, J.C. Holmes, R. Nakamura, F. Pucci, R.B. Torbert, J.L. Burch, P.A. Lindqvist, R.J. Strangeway, O. Le Contel, B.L. Giles, Observations of particle acceleration in magnetic reconnection-driven turbulence. Astrophys. J. 898(2), 154 (2020b). https://doi.org/10.3847/1538-4357/ab9ab6
E. Fermi, On the origin of the cosmic radiation. Phys. Rev. 75(8), 1169–1174 (1949). https://doi.org/10.1103/PhysRev.75.1169
E. Fermi, Galactic magnetic fields and the origin of cosmic radiation. Astrophys. J. 119, 1 (1954). https://doi.org/10.1086/145789
S.E.S. Ferreira, M.S. Potgieter, B. Heber, H. Fichtner, Charge-sign dependent modulation in the heliosphere over a 22-year cycle. Ann. Geophys. 21(6), 1359–1366 (2003). https://doi.org/10.5194/angeo-21-1359-2003
M.A. Forman, J.R. Jokipii, A.J. Owens, Cosmic-ray streaming perpendicular to the mean magnetic field. Astrophys. J. 192, 535–540 (1974)
L. Franci, A. Verdini, L. Matteini, S. Landi, P. Hellinger, Solar wind turbulence from MHD to sub-ion scales: High-resolution hybrid simulations. Astrophys. J. Lett. 804, L39 (2015). https://doi.org/10.1088/2041-8205/804/2/L39. arXiv:1503.05457
L. Franci, S.S. Cerri, F. Califano, S. Landi, E. Papini, A. Verdini, L. Matteini, F. Jenko, P. Hellinger, Magnetic reconnection as a driver for a sub-ion-scale cascade in plasma turbulence. Astrophys. J. Lett. 850(1), L16 (2017). https://doi.org/10.3847/2041-8213/aa93fb. arXiv:1707.06548
L. Franci, S. Landi, A. Verdini, L. Matteini, P. Hellinger, Solar wind turbulent cascade from MHD to sub-ion scales: Large-size 3D hybrid particle-in-cell simulations. Astrophys. J. 853(1), 26 (2018). https://doi.org/10.3847/1538-4357/aaa3e8
L. Franci, J.E. Stawarz, E. Papini, P. Hellinger, T. Nakamura, D. Burgess, S. Landi, A. Verdini, L. Matteini, R. Ergun, O. Le Contel, P.A. Lindqvist, Modeling MMS observations at the Earth’s magnetopause with hybrid simulations of Alfvénic turbulence. Astrophys. J. 898(2), 175 (2020). https://doi.org/10.3847/1538-4357/ab9a47
H.S. Fu, A. Vaivads, Y.V. Khotyaintsev, V. Olshevsky, M. André, J.B. Cao, S.Y. Huang, A. Retinò, G. Lapenta, How to find magnetic nulls and reconstruct field topology with MMS data? J. Geophys. Res. Space Phys. 120, 3758–3782 (2015). https://doi.org/10.1002/2015JA021082
H.S. Fu, J.B. Cao, A. Vaivads, Y.V. Khotyaintsev, M. André, M. Dunlop, W.L. Liu, H.Y. Lu, S.Y. Huang, Y.D. Ma, E. Eriksson, Identifying magnetic reconnection events using the FOTE method. J. Geophys. Res. Space Phys. 121(2), 1263–1272 (2016). https://doi.org/10.1002/2015JA021701
S.A. Fuselier, W.S. Lewis, C. Schiff, R. Ergun, J.L. Burch, S.M. Petrinec, K.J. Trattner, Magnetospheric multiscale science mission profile and operations. Space Sci. Rev. 199(1), 77–103 (2016). https://doi.org/10.1007/s11214-014-0087-x
S. Fuselier, S. Vines, J. Burch, S. Petrinec, K. Trattner, P. Cassak, L.J. Chen, R. Ergun, S. Eriksson, B. Giles et al., Large-scale characteristics of reconnection diffusion regions and associated magnetopause crossings observed by MMS. J. Geophys. Res. Space Phys. 122(5), 5466–5486 (2017)
A.A. Galeev, L.M. Zelenyi, Tearing instability in plasma configurations. Zh. Eksp. Teor. Fiz. 70, 2133–2151 (1976)
C. Garrel, L. Vlahos, H. Isliker, T. Pisokas, Diffusive shock acceleration and turbulent reconnection. Mon. Not. R. Astron. Soc. 478(3), 2976–2986 (2018). https://doi.org/10.1093/mnras/sty1260
S.P. Gary, L. Yin, D. Winske, L. Ofman, B.E. Goldstein, M. Neugebauer, Consequences of proton and alpha anisotropies in the solar wind: Hybrid simulations. J. Geophys. Res. Space Phys. 108(A2), 1068 (2003). https://doi.org/10.1029/2002JA009654
S.P. Gary, S. Saito, Y. Narita, Whistler turbulence wavevector anisotropies: Particle-in-cell simulations. Astrophys. J. 716(2), 1332–1335 (2010). https://doi.org/10.1088/0004-637X/716/2/1332
S.P. Gary, R.S. Hughes, J. Wang, Whistler turbulence heating of electrons and ions: Three-dimensional particle-in-cell simulations. Astrophys. J. 816(2), 102 (2016). https://doi.org/10.3847/0004-637X/816/2/102
W. Gekelman, S.W. Tang, T. DeHaas, S. Vincena, P. Pribyl, R. Sydora, Spiky electric and magnetic field structures in flux rope experiments. Proc. Natl. Acad. Sci. USA 116(37), 18239–18244 (2019). https://doi.org/10.1073/pnas.1721343115
A. Ghizzo, M. Sarrat, D. Del Sarto, Vlasov models for kinetic Weibel-type instabilities. J. Plasma Phys. 83(1), 705830101 (2017). https://doi.org/10.1017/S0022377816001215
S. Ghosh, W. Matthaeus, D. Roberts, M. Goldstein, The evolution of slab fluctuations in the presence of pressure-balanced magnetic structures and velocity shears. J. Geophys. Res. Space Phys. 103(A10), 23691–23704 (1998)
J. Giacalone, Shock drift acceleration of energetic protons at a planetary bow shock. J. Geophys. Res. 97(A6), 8307–8318 (1992). https://doi.org/10.1029/92JA00313
J. Gieseler, B. Heber, K. Herbst, An empirical modification of the force field approach to describe the modulation of galactic cosmic rays close to Earth in a broad range of rigidities. J. Geophys. Res. 122(11), 10964–10979 (2017). https://doi.org/10.1002/2017JA024763. arXiv:1710.10834
K.H. Glassmeier, P.N. Mager, D.Y. Klimushkin, Concerning ULF pulsations in Mercury’s magnetosphere. Geophys. Res. Lett. 30(18), 1928 (2003). https://doi.org/10.1029/2003GL017175
M.L. Goldstein, D.A. Roberts, Magnetohydrodynamic turbulence in the solar wind. Phys. Plasmas 6, 4154 (1999). https://doi.org/10.1063/1.873680
T. Gomez, H. Politano, A. Pouquet, Exact relationship for third-order structure functions in helical flows. Phys. Rev. E 61(5), 5321 (2000)
C.A. González, T.N. Parashar, D. Gomez, W.H. Matthaeus, P. Dmitruk, Turbulent electromagnetic fields at sub-proton scales: Two-fluid and full-kinetic plasma simulations. Phys. Plasmas 26(1), 012306 (2019). https://doi.org/10.1063/1.5054110. arXiv:1809.00985
J.T. Gosling, Observations of magnetic reconnection in the turbulent high-speed solar wind. Astrophys. J. Lett. 671(1), L73–L76 (2007). https://doi.org/10.1086/524842
H. Grad, On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2, 331 (1949)
P.C. Gray, W.H. Matthaeus, MHD turbulence, reconnection, and test-particle acceleration, in Particle Acceleration in Cosmic Plasmas, ed. by G.P. Zank, T.K. Gaisser. American Institute of Physics Conference Series, vol. 264 (1992), pp. 261–266. https://doi.org/10.1063/1.42738
A. Greco, W.H. Matthaeus, S. Servidio, P. Chuychai, P. Dmitruk, Statistical analysis of discontinuities in solar wind ACE data and comparison with intermittent MHD turbulence. Astrophys. J. 691, L111–L114 (2009). https://doi.org/10.1088/0004-637X/691/2/L111
A. Greco, F. Valentini, S. Servidio, W. Matthaeus, Inhomogeneous kinetic effects related to intermittent magnetic discontinuities. Phys. Rev. E 86(6), 066405 (2012)
E.E. Grigorenko, H.V. Malova, A.V. Artemyev, O.V. Mingalev, E.A. Kronberg, R. Koleva, P.W. Daly, J.B. Cao, J.A. Sauvaud, C.J. Owen, L.M. Zelenyi, Current sheet structure and kinetic properties of plasma flows during a near-Earth magnetic reconnection under the presence of a guide field. J. Geophys. Res. Space Phys. 118(6), 3265–3287 (2013). https://doi.org/10.1002/jgra.50310
D. Grošelj, S.S. Cerri, A.B. Navarro, C. Willmott, D. Told, N.F. Loureiro, F. Califano, F. Jenko, Fully kinetic versus reduced-kinetic modeling of collisionless plasma turbulence. Astrophys. J. 847(1), 28 (2017). https://doi.org/10.3847/1538-4357/aa894d
F. Guo, Y.H. Liu, W. Daughton, H. Li, Particle acceleration and plasma dynamics during magnetic reconnection in the magnetically dominated regime. Astrophys. J. 806(2), 167 (2015). https://doi.org/10.1088/0004-637X/806/2/167
F. Guo, H. Li, W. Daughton, X. Li, Y.H. Liu, Particle acceleration during magnetic reconnection in a low-beta pair plasma. Phys. Plasmas 23(5), 055708 (2016a). https://doi.org/10.1063/1.4948284
F. Guo, X. Li, H. Li, W. Daughton, B. Zhang, N. Lloyd-Ronning, Y.H. Liu, H. Zhang, W. Deng, Efficient production of high-energy nonthermal particles during magnetic reconnection in a magnetically dominated ion–electron plasma. Astrophys. J. 818(1), L9 (2016b). https://doi.org/10.3847/2041-8205/818/1/l9
L.Z. Hadid, F. Sahraoui, S. Galtier, S.Y. Huang, Compressible magnetohydrodynamic turbulence in the Earth’s magnetosheath: Estimation of the energy cascade rate using in situ spacecraft data. Phys. Rev. Lett. 120(5), 055102 (2018). https://doi.org/10.1103/PhysRevLett.120.055102. arXiv:1710.04691
C.C. Haggerty, T.N. Parashar, W.H. Matthaeus, M.A. Shay, Y. Yang, M. Wan, P. Wu, S. Servidio, Exploring the statistics of magnetic reconnection x-points in kinetic particle-in-cell turbulence. Phys. Plasmas 24(10), 102308 (2017). https://doi.org/10.1063/1.5001722
E.G. Harris, On a plasma sheath separating regions of oppositely directed magnetic field. Nuovo Cimento 23(1), 115–121 (1962)
C.T. Haynes, D. Burgess, E. Camporeale, Reconnection and electron temperature anisotropy in sub-proton scale plasma turbulence. Astrophys. J. 783, 38 (2014). https://doi.org/10.1088/0004-637X/783/1/38. arXiv:1304.1444
B. Heber, T.R. Sanderson, M. Zhang, Corotating interaction regions. Adv. Space Res. 23(3), 567–579 (1999). https://doi.org/10.1016/S0273-1177(99)80013-1
P. Hellinger, M. Velli, P. Trávníček, S.P. Gary, B.E. Goldstein, P.C. Liewer, Alfvén wave heating of heavy ions in the expanding solar wind: Hybrid simulations. J. Geophys. Res. Space Phys. 110(A12), A12109 (2005). https://doi.org/10.1029/2005JA011244
P. Hellinger, P. Trávníček, J.C. Kasper, A.J. Lazarus, Solar wind proton temperature anisotropy: Linear theory and WIND/SWE observations. Geophys. Res. Lett. 33, L09101 (2006). https://doi.org/10.1029/2006GL025925
P. Hellinger, L. Matteini, S. Landi, L. Franci, A. Verdini, E. Papini, Turbulence versus fire-hose instabilities: 3D hybrid expanding box simulations. Astrophys. J. 883(2), 178 (2019). https://doi.org/10.3847/1538-4357/ab3e01. arXiv:1908.07760
M. Hesse, K. Schindler, J. Birn, M. Kuznetsova, The diffusion region in collisionless magnetic reconnection. Phys. Plasmas 6(5), 1781–1795 (1999). https://doi.org/10.1063/1.873436
M. Hesse, N. Aunai, J. Birn, P. Cassak, R.E. Denton, J.F. Drake, T. Gombosi, M. Hoshino, W. Matthaeus, D. Sibeck, S. Zenitani, Theory and modeling for the magnetospheric multiscale mission. Space Sci. Rev. 199(1), 577–630 (2016). https://doi.org/10.1007/s11214-014-0078-y
M. Hesse, L.J. Chen, Y.H. Liu, N. Bessho, J.L. Burch, Population mixing in asymmetric magnetic reconnection with a guide field. Phys. Rev. Lett. 118, 145101 (2017). https://doi.org/10.1103/PhysRevLett.118.145101
A.K. Higginson, B.J. Lynch, Structured slow solar wind variability: Streamer-blob flux ropes and torsional Alfvén waves. Astrophys. J. 859(1), 6 (2018). https://doi.org/10.3847/1538-4357/aabc08
J.T. Hoeksema, J.M. Wilcox, P.H. Scherrer, The structure of the heliospheric current sheet: 1978–1982. J. Geophys. Res. Space Phys. 88(A12), 9910–9918 (1983). https://doi.org/10.1029/JA088iA12p09910. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/JA088iA12p09910
M. Hoshino, Electron surfing acceleration in magnetic reconnection. J. Geophys. Res. 110, A10215 (2005). https://doi.org/10.1029/2005JA011229
G.G. Howes, The inherently three-dimensional nature of magnetized plasma turbulence. J. Plasma Phys. 81(2), 325810203 (2015). https://doi.org/10.1017/S0022377814001056. arXiv:1306.4589
G.G. Howes, S.C. Cowley, W. Dorland, G.W. Hammett, E. Quataert, A.A. Schekochihin, A model of turbulence in magnetized plasmas: Implications for the dissipation range in the solar wind. J. Geophys. Res. Space Phys. 113, A05103 (2008a)
G. Howes, W. Dorland, S. Cowley, G. Hammett, E. Quataert, A. Schekochihin, T. Tatsuno, Kinetic simulations of magnetized turbulence in astrophysical plasmas. Phys. Rev. Lett. 100(6), 065004 (2008b)
Q. Hu, B.U. Sonnerup, Reconstruction of magnetic clouds in the solar wind: Orientations and configurations. J. Geophys. Res. Space Phys. 107(A7), SSH-10 (2002)
C. Huang, Q. Lu, R. Wang, F. Guo, M. Wu, S. Lu, S. Wang, Development of turbulent magnetic reconnection in a magnetic island. Astrophys. J. 835(2), 245 (2017). https://doi.org/10.3847/1538-4357/835/2/245
M. Hussein, A. Shalchi, Simulations of energetic particles interacting with dynamical magnetic turbulence. Astrophys. J. 817(2), 136 (2016)
P.A. Isenberg, A hemispherical model of anisotropic interstellar pickup ions. J. Geophys. Res. 102, 4719 (1997). https://doi.org/10.1029/96JA03671
M. Janvier, P. Démoulin, S. Dasso, Are there different populations of flux ropes in the solar wind? Sol. Phys. 289(7), 2633–2652 (2014). https://doi.org/10.1007/s11207-014-0486-x. arXiv:1401.6812
K. Jiang, S.Y. Huang, Z.G. Yuan, F. Sahraoui, X.H. Deng, X.D. Yu, L.H. He, D. Deng, Y.Y. Wei, S.B. Xu, The role of upper hybrid waves in the magnetotail reconnection electron diffusion region. Astrophys. J. Lett. 881(2), L28 (2019). https://doi.org/10.3847/2041-8213/ab36b9
J.R. Johnson, C.Z. Cheng, Stochastic ion heating at the magnetopause due to kinetic Alfvén waves. Geophys. Res. Lett. 28(23), 4421–4424 (2001). https://doi.org/10.1029/2001GL013509
J. Jokipii, Cosmic-ray propagation. I. Charged particles in a random magnetic field. Astrophys. J. 146, 480 (1966)
J.R. Jokipii, D.A. Kopriva, Effects of particle drift on the transport of cosmic rays. III. Numerical models of galactic cosmic-ray modulation. Astrophys. J. 234, 384–392 (1979). https://doi.org/10.1086/157506
J. Jokipii, E. Parker, Stochastic aspects of magnetic lines of force with application to cosmic-ray propagation. Astrophys. J. 155, 777 (1969)
J.R. Jokipii, B. Thomas, Effects of drift on the transport of cosmic rays. IV - Modulation by a wavy interplanetary current sheet. Astrophys. J. 243, 1115–1122 (1981). https://doi.org/10.1086/158675
J.R. Jokipii, E.H. Levy, W.B. Hubbard, Effects of particle drift on cosmic-ray transport. I. General properties, application to solar modulation. Astrophys. J. 213, 861–868 (1977). https://doi.org/10.1086/155218
J. Juno, A. Hakim, J. TenBarge, E. Shi, W. Dorland, Discontinuous Galerkin algorithms for fully kinetic plasmas. J. Comput. Phys. 353, 110–147 (2018). https://doi.org/10.1016/j.jcp.2017.10.009
H. Karimabadi, P.L. Pritchett, W. Daughton, D. Krauss-Varban, Ion-ion kink instability in the magnetotail: 2. Three-dimensional full particle and hybrid simulations and comparison with observations. J. Geophys. Res. Space Phys. 108(A11), 1401 (2003). https://doi.org/10.1029/2003JA010109
H. Karimabadi, V. Roytershteyn, M. Wan, W.H. Matthaeus, W. Daughton, P. Wu, M. Shay, B. Loring, J. Borovsky, E. Leonardis, S.C. Chapman, T.K.M. Nakamura, Coherent structures, intermittent turbulence, and dissipation in high-temperature plasmas. Phys. Plasmas 20(1), 012303 (2013). https://doi.org/10.1063/1.4773205
J. Kasper, A. Lazarus, S. Gary, Hot solar-wind helium: Direct evidence for local heating by Alfvén-cyclotron dissipation. Phys. Rev. Lett. 101(26), 261103 (2008)
T. Katou, T. Amano, Theory of stochastic shock drift acceleration for electrons in the shock transition region. Astrophys. J. 874(2), 119 (2019). https://doi.org/10.3847/1538-4357/ab0d8a
O.V. Khabarova, G.P. Zank, Energetic particles of keV–MeV energies observed near reconnecting current sheets at 1 au. Astrophys. J. 843(1), 4 (2017). https://doi.org/10.3847/1538-4357/aa7686
O.V. Khabarova, G.P. Zank, G. Li, J.A. le Roux, G.M. Webb, A. Dosch, O.E. Malandraki, Small-scale magnetic islands in the solar wind and their role in particle acceleration. I. Dynamics of magnetic islands near the heliospheric current sheet. Astrophys. J. 808(2), 181 (2015). https://doi.org/10.1088/0004-637X/808/2/181. arXiv:1504.06616
O.V. Khabarova, G.P. Zank, G. Li, O.E. Malandraki, J.A. le Roux, G.M. Webb, Small-scale magnetic islands in the solar wind and their role in particle acceleration. II. Particle energization inside magnetically confined cavities. Astrophys. J. 827(2), 122 (2016)
O.V. Khabarova, O. Malandraki, H. Malova, R. Kislov, A. Greco, R. Bruno, O. Pezzi, S. Servidio, G. Li, W.H. Matthaeus, J. le Roux, N. Engelbrecht, F. Pecora, L. Zelenyi, V. Obridko, V. Kuznetsov, Current sheets, plasmoids and flux ropes in the heliosphere. Part i. General and observational aspects: 2-d or not 2-d? Space Sci. Rev. (2020a). https://doi.org/10.1007/s11214-021-00814-x (this journal)
O.V. Khabarova, V. Zharkova, Q. Xia, O.E. Malandraki, Counterstreaming strahls and heat flux dropouts as possible signatures of local particle acceleration in the solar wind. Astrophys. J. Lett. 894(1), L12 (2020b). https://doi.org/10.3847/2041-8213/ab8cb8
K.G. Klein, G.G. Howes, Measuring collisionless damping in heliospheric plasmas using field-particle correlations. Astrophys. J. Lett. 826(2), L30 (2016). https://doi.org/10.3847/2041-8205/826/2/L30. arXiv:1607.01738
K.G. Klein, G.G. Howes, J.M. TenBarge, F. Valentini, Diagnosing collisionless energy transfer using field-particle correlations: Alfvén-ion cyclotron turbulence. J. Plasma Phys. 86(4), 905860402 (2020). https://doi.org/10.1017/S0022377820000689. arXiv:2006.02563
G. Knorr, Two-dimensional turbulence of electrostatic Vlasov plasmas. Plasma Phys. 19, 529–538 (1977). https://doi.org/10.1088/0032-1028/19/6/004
T. Kobak, M. Ostrowski, Energetic particle acceleration in a three-dimensional magnetic field reconnection model: The role of magnetohydrodynamic turbulence. Mon. Not. R. Astron. Soc. 317(4), 973–978 (2000). https://doi.org/10.1046/j.1365-8711.2000.03722.x. arXiv:astro-ph/0006045
J. Kota, Energy loss in the solar system and modulation of cosmic radiation, in International Cosmic Ray Conference. International Cosmic Ray Conference, vol. 11 (1977), p. 186
J. Kota, J.R. Jokipii, Effects of drift on the transport of cosmic rays. VI - A three-dimensional model including diffusion. Astrophys. J. 265, 573–581 (1983). https://doi.org/10.1086/160701
G. Kowal, A. Lazarian, E.T. Vishniac, K. Otmianowska-Mazur, Numerical tests of fast reconnection in weakly stochastic magnetic fields. Astrophys. J. 700(1), 63–85 (2009). https://doi.org/10.1088/0004-637X/700/1/63. arXiv:0903.2052
G. Kowal, E.M. de Gouveia Dal Pino, A. Lazarian, Magnetohydrodynamic simulations of reconnection and particle acceleration: Three-dimensional effects. Astrophys. J. 735(2), 102 (2011). https://doi.org/10.1088/0004-637X/735/2/102. arXiv:1103.2984
G. Kowal, E.M. de Gouveia Dal Pino, A. Lazarian, Particle acceleration in turbulence and weakly stochastic reconnection. Phys. Rev. Lett. 108(24), 241102 (2012). https://doi.org/10.1103/PhysRevLett.108.241102. arXiv:1202.5256
M.M. Kuznetsova, L.M. Zelenyi, Magnetic reconnection in collisionless field reversals the universality of the ion tearing mode. Geophys. Res. Lett. 18(10), 1825–1828 (1991). https://doi.org/10.1029/91GL02245
G. Lapenta, Self-feeding turbulent magnetic reconnection on macroscopic scales. Phys. Rev. Lett. 100(23), 235001 (2008)
G. Lapenta, J.U. Brackbill, A kinetic theory for the drift-kink instability. J. Geophys. Res. 102(A12), 27099–27108 (1997). https://doi.org/10.1029/97JA02140
G. Lapenta, S. Markidis, M.V. Goldman, D.L. Newman, Secondary reconnection sites in reconnection-generated flux ropes and reconnection fronts. Nat. Phys. 11(8), 690–695 (2015)
G. Lapenta, M. Ashour-Abdalla, R.J. Walker, M. El Alaoui, A multiscale study of ion heating in Earth’s magnetotail. Geophys. Res. Lett. 43(2), 515–524 (2016). https://doi.org/10.1002/2015GL066689
G. Lapenta, J. Berchem, M. Zhou, R.J. Walker, M. El-Alaoui, M.L. Goldstein, W.R. Paterson, B.L. Giles, C.J. Pollock, C.T. Russell, R.J. Strangeway, R.E. Ergun, Y.V. Khotyaintsev, R.B. Torbert, J.L. Burch, On the origin of the crescent-shaped distributions observed by MMS at the magnetopause. J. Geophys. Res. Space Phys. 122(2), 2024–2039 (2017). https://doi.org/10.1002/2016JA023290. arXiv:1702.03550
G. Lapenta, F. Pucci, V. Olshevsky, S. Servidio, L. Sorriso-Valvo, D.L. Newman, M.V. Goldman, Nonlinear waves and instabilities leading to secondary reconnection in reconnection outflows. J. Plasma Phys. 84(1), 715840103 (2018). https://doi.org/10.1017/S002237781800003X. arXiv:1808.08612
G. Lapenta, F. Pucci, M. Goldman, D. Newman, Local regimes of turbulence in 3D magnetic reconnection. Astrophys. J. 888(2), 104 (2020)
A. Lazarian, E.T. Vishniac, Reconnection in a weakly stochastic field. Astrophys. J. 517(2), 700 (1999)
A. Lazarian, G. Eyink, E. Vishniac, G. Kowal, Turbulent reconnection and its implications. Philos. Trans. R. Soc. Lond. Ser. A 373, 20140144 (2015). https://doi.org/10.1098/rsta.2014.0144. arXiv:1502.01396
A. Lazarian, G.L. Eyink, A. Jafari, G. Kowal, H. Li, S. Xu, E.T. Vishniac, 3D turbulent reconnection: Theory, tests, and astrophysical implications. Phys. Plasmas 27(1), 012305 (2020). https://doi.org/10.1063/1.5110603. arXiv:2001.00868
O. Le Contel, A. Retinò, H. Breuillard, L. Mirioni, P. Robert, A. Chasapis, B. Lavraud, T. Chust, L. Rezeau, F.D. Wilder, D.B. Graham, M.R. Argall, D.J. Gershman, P.A. Lindqvist, Y.V. Khotyaintsev, G. Marklund, R.E. Ergun, K.A. Goodrich, J.L. Burch, R.B. Torbert, J. Needell, M. Chutter, D. Rau, I. Dors, C.T. Russell, W. Magnes, R.J. Strangeway, K.R. Bromund, H.K. Leinweber, F. Plaschke, D. Fischer, B.J. Anderson, G. Le, T.E. Moore, C.J. Pollock, B.L. Giles, J.C. Dorelli, L. Avanov, Y. Saito, Whistler mode waves and Hall fields detected by MMS during a dayside magnetopause crossing. Geophys. Res. Lett. 43(12), 5943–5952 (2016). https://doi.org/10.1002/2016GL068968. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1002/2016GL068968
J.A. le Roux, W.H. Matthaeus, G.P. Zank, Pickup ion acceleration by turbulent electric fields in the slow solar wind. Geophys. Res. Lett. 28(20), 3831–3834 (2001). https://doi.org/10.1029/2001GL013400. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2001GL013400
J.A. le Roux, G.P. Zank, G.M. Webb, O. Khabarova, A kinetic transport theory for particle acceleration and transport in regions of multiple contracting and reconnecting inertial-scale flux ropes. Astrophys. J. 801, 112 (2015). https://doi.org/10.1088/0004-637X/801/2/112
J.A. le Roux, G.P. Zank, G.M. Webb, O.V. Khabarova, Combining diffusive shock acceleration with acceleration by contracting and reconnecting small-scale flux ropes at heliospheric shocks. Astrophys. J. 827, 47 (2016)
J.A. le Roux, G.P. Zank, O.V. Khabarova, Self-consistent energetic particle acceleration by contracting and reconnecting small-scale flux ropes: The governing equations. Astrophys. J. 864, 158 (2018)
J.A. le Roux, G.M. Webb, O.V. Khabarova, L.L. Zhao, L. Adhikari, Modeling energetic particle acceleration and transport in a solar wind region with contracting and reconnecting small-scale flux ropes at Earth orbit. Astrophys. J. 887(1), 77 (2019). https://doi.org/10.3847/1538-4357/ab521f
R.J. Leamon, W.H. Matthaeus, C.W. Smith, H.K. Wong, Contribution of cyclotron-resonant damping to kinetic dissipation of interplanetary turbulence. Astrophys. J. 507, L181 (1998)
E. Leonardis, S.C. Chapman, W. Daughton, V. Roytershteyn, H. Karimabadi, Identification of intermittent multifractal turbulence in fully kinetic simulations of magnetic reconnection. Phys. Rev. Lett. 110(20), 205002 (2013). https://doi.org/10.1103/PhysRevLett.110.205002. arXiv:1302.1749
M.M. Leroy, A. Mangeney, A theory of energization of solar wind electrons by the Earth’s bow shock. Ann. Geophys. 2, 449–456 (1984)
X. Li, F. Guo, H. Li, G. Li, Nonthermally dominated electron acceleration during magnetic reconnection in a low-\(\beta\) plasma. Astrophys. J. Lett. 811, L24 (2015)
T.C. Li, G.G. Howes, K.G. Klein, J.M. TenBarge, Energy dissipation and Landau damping in two- and three-dimensional plasma turbulence. Astrophys. J. Lett. 832(2), L24 (2016). https://doi.org/10.3847/2041-8205/832/2/L24. arXiv:1510.02842
X. Li, F. Guo, H. Li, G. Li, Particle acceleration during magnetic reconnection in a low-beta plasma. Astrophys. J. 843(1), 21 (2017). https://doi.org/10.3847/1538-4357/aa745e
X. Li, F. Guo, J. Birn, The roles of fluid compression and shear in electron energization during magnetic reconnection. Astrophys. J. 855, 80 (2018)
X. Li, F. Guo, H. Li, Particle acceleration in kinetic simulations of nonrelativistic magnetic reconnection with different ion-electron mass ratios. Astrophys. J. 879(1), 5 (2019). https://doi.org/10.3847/1538-4357/ab223b. arXiv:1905.08797
H. Liang, P.A. Cassak, S. Servidio, M.A. Shay, J.F. Drake, M. Swisdak, M.R. Argall, J.C. Dorelli, E.E. Scime, W.H. Matthaeus, V. Roytershteyn, G.L. Delzanno, Decomposition of plasma kinetic entropy into position and velocity space and the use of kinetic entropy in particle-in-cell simulations. Phys. Plasmas 26(8), 082903 (2019). https://doi.org/10.1063/1.5098888. arXiv:1902.02733
H. Liang, M. Hasan Barbhuiya, P.A. Cassak, O. Pezzi, S. Servidio, F. Valentini, G.P. Zank, Kinetic entropy-based measures of distribution function non-Maxwellianity: Theory and simulations (2020). arXiv:e-prints. arXiv:2008.06669
Y.C.M. Liu, J. Huang, C. Wang, B. Klecker, A.B. Galvin, K.D.C. Simunac, M.A. Popecki, L. Kistler, C. Farrugia, M.A. Lee, H. Kucharek, A. Opitz, J.G. Luhmann, L. Jian, A statistical analysis of heliospheric plasma sheets, heliospheric current sheets, and sector boundaries observed in situ by STEREO. J. Geophys. Res. Space Phys. 119(11), 8721–8732 (2014). https://doi.org/10.1002/2014JA019956
N. Loureiro, D. Uzdensky, A. Schekochihin, S. Cowley, T. Yousef, Turbulent magnetic reconnection in two dimensions. Mon. Not. R. Astron. Soc. Lett. 399(1), L146–L150 (2009)
Q. Lu, C. Huang, J. Xie, R. Wang, M. Wu, A. Vaivads, S. Wang, Features of separatrix regions in magnetic reconnection: Comparison of 2-d particle-in-cell simulations and cluster observations. J. Geophys. Res. Space Phys. 115(A11), A11208 (2010). https://doi.org/10.1029/2010JA015713. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2010JA015713
S. Lu, V. Angelopoulos, A.V. Artemyev, P.L. Pritchett, J. Liu, A. Runov, A. Tenerani, C. Shi, M. Velli, Turbulence and particle acceleration in collisionless magnetic reconnection: Effects of temperature inhomogeneity across pre-reconnection current sheet. Astrophys. J. 878(2), 109 (2019a). https://doi.org/10.3847/1538-4357/ab1f6b
S. Lu, A.V. Artemyev, V. Angelopoulos, P.L. Pritchett, A. Runov, Effects of cross-sheet density and temperature inhomogeneities on magnetotail reconnection. Geophys. Res. Lett. 46(1), 28–36 (2019b). https://doi.org/10.1029/2018GL081420. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2018GL081420
A.T.Y. Lui, Current disruption in the Earth’s magnetosphere: Observations and models. J. Geophys. Res. 101(A6), 13067–13088 (1996). https://doi.org/10.1029/96JA00079
V.N. Lutsenko, I.P. Kirpichev, T.V. Grechko, D. Delcourt, Source positions of energetic particles responsible for the fine dispersion structures: Numerical simulation results. Planet. Space Sci. 53(1–3), 275–281 (2005). https://doi.org/10.1016/j.pss.2004.09.053
L.R. Lyons, T.W. Speiser, Evidence for current sheet acceleration in the geomagnetic tail. J. Geophys. Res. 87(A4), 2276–2286 (1982). https://doi.org/10.1029/JA087iA04p02276
M. Lyutikov, Explosive reconnection in magnetars. Mon. Not. R. Astron. Soc. 346(2), 540–554 (2003). https://doi.org/10.1046/j.1365-2966.2003.07110.x. http://oup.prod.sis.lan/mnras/article-pdf/346/2/540/4293592/346-2-540.pdf
Z.W. Ma, A. Bhattacharjee, Hall magnetohydrodynamic reconnection: The geospace environment modeling challenge. J. Geophys. Res. 106, 3773–3782 (2001). https://doi.org/10.1029/1999JA001004
O. Malandraki, O. Khabarova, R. Bruno, G.P. Zank, G. Li, B. Jackson, M.M. Bisi, A. Greco, O. Pezzi, W. Matthaeus, A. Chasapis Giannakopoulos, S. Servidio, H. Malova, R. Kislov, F. Effenberger, J. le Roux, Y. Chen, Q. Hu, N.E. Engelbrecht, Current sheets, magnetic islands, and associated particle acceleration in the solar wind as observed by Ulysses near the ecliptic plane. Astrophys. J. 881(2), 116 (2019). https://doi.org/10.3847/1538-4357/ab289a
F. Malara, M. Velli, Parametric instability of a large-amplitude nonmonochromatic Alfvén wave. Phys. Plasmas 3(12), 4427–4433 (1996). https://doi.org/10.1063/1.872043
F. Malara, P. Veltri, V. Carbone, Competition among nonlinear effects in tearing instability saturation. Phys. Fluids, B Plasma Phys. 4(10), 3070–3086 (1992)
F. Malara, G. Nigro, F. Valentini, L. Sorriso-Valvo, Electron heating by kinetic Alfvén waves in coronal loop turbulence. Astrophys. J. 871(1), 66 (2019). https://doi.org/10.3847/1538-4357/aaf168
M.A. Malkov, R.Z. Sagdeev, Cosmic ray transport with magnetic focusing and the “Telegraph” model. Astrophys. J. 808, 157 (2015)
H. Malova, V.Y. Popov, E. Grigorenko, A. Petrukovich, D. Delcourt, A. Sharma, O. Khabarova, L. Zelenyi, Evidence for quasi-adiabatic motion of charged particles in strong current sheets in the solar wind. Astrophys. J. 834(1), 34 (2017). https://doi.org/10.3847/1538-4357/834/1/34
H. Malova, V.Y. Popov, O.V. Khabarova, E.E. Grigorenko, A.A. Petrukovich, L.M. Zelenyi, Structure of current sheets with quasi-adiabatic dynamics of particles in the solar wind. Cosm. Res. 56(6), 462–470 (2018). https://doi.org/10.1134/S0010952518060060
Y.G. Maneva, S. Poedts, Generation and evolution of anisotropic turbulence and related energy transfer in drifting proton-alpha plasmas. Astron. Astrophys. 613, A10 (2018). https://doi.org/10.1051/0004-6361/201731204
Y.G. Maneva, A.F. Viñas, L. Ofman, Turbulent heating and acceleration of He++ ions by spectra of Alfvén-cyclotron waves in the expanding solar wind: 1.5-D hybrid simulations. J. Geophys. Res. Space Phys. 118, 2842–2853 (2013). https://doi.org/10.1002/jgra.50363
Y.G. Maneva, J.A. Araneda, E. Marsch, Regulation of ion drifts and anisotropies by parametrically unstable finite-amplitude Alfvén-cyclotron waves in the fast solar wind. Astrophys. J. 783(2), 139 (2014). https://doi.org/10.1088/0004-637X/783/2/139
Y.G. Maneva, L. Ofman, A. Viñas, Relative drifts and temperature anisotropies of protons and \(\alpha\) particles in the expanding solar wind: 2.5D hybrid simulations. Astron. Astrophys. 578, A85 (2015). https://doi.org/10.1051/0004-6361/201424401. arXiv:1410.3358
A. Mangeney, F. Califano, C. Cavazzoni, P. Travnicek, A numerical scheme for the integration of the Vlasov–Maxwell system of equations. J. Comput. Phys. 179(2), 495–538 (2002)
R. Marino, L. Sorriso-Valvo, V. Carbone, A. Noullez, R. Bruno, B. Bavassano, Heating the solar wind by a magnetohydrodynamic turbulent energy cascade. Astrophys. J. Lett. 677(1), L71 (2008). https://doi.org/10.1086/587957
E. Marsch, Kinetic physics of the solar corona and solar wind. Living Rev. Sol. Phys. 3(1), 1 (2006). https://doi.org/10.12942/lrsp-2006-1
E. Marsch, C.Y. Tu, Intermittency, non-Gaussian statistics and fractal scaling of MHD fluctuations in the solar wind. Nonlinear Process. Geophys. 4(2), 101–124 (1997)
M.S. Marsh, S. Dalla, J. Kelly, T. Laitinen, Drift-induced perpendicular transport of solar energetic particles. Astrophys. J. 774(1), 4 (2013). https://doi.org/10.1088/0004-637X/774/1/4. arXiv:1307.1585
B.A. Maruca, J.C. Kasper, S.D. Bale, What are the relative roles of heating and cooling in generating solar wind temperature anisotropies? Phys. Rev. Lett. 107, 201101 (2011). https://doi.org/10.1103/PhysRevLett.107.201101
L. Matteini, P. Hellinger, B.E. Goldstein, S. Landi, M. Velli, M. Neugebauer, Signatures of kinetic instabilities in the solar wind. J. Geophys. Res. Space Phys. 118, 2771–2782 (2013). https://doi.org/10.1002/jgra.50320
W.H. Matthaeus, S.L. Lamkin, Rapid magnetic reconnection caused by finite amplitude fluctuations. Phys. Fluids 28, 303 (1985)
W.H. Matthaeus, S.L. Lamkin, Turbulent magnetic reconnection. Phys. Fluids 29(8), 2513–2534 (1986)
W.H. Matthaeus, D. Montgomery, Selective decay hypothesis at high mechanical and magnetic Reynolds numbers. Ann. N.Y. Acad. Sci. 357(1), 203–222 (1980)
W.H. Matthaeus, M. Velli, Who needs turbulence? Space Sci. Rev. 160(1–4), 145–168 (2011)
W.H. Matthaeus, J.J. Ambrosiano, M.L. Goldstein, Particle-acceleration by turbulent magnetohydrodynamic reconnection. Phys. Rev. Lett. 53, 1449–1452 (1984). https://doi.org/10.1103/PhysRevLett.53.1449
W.H. Matthaeus, M.L. Goldstein, D.A. Roberts, Evidence for the presence of quasi-two-dimensional nearly incompressible fluctuations in the solar wind. J. Geophys. Res. 95, 20673–20683 (1990). https://doi.org/10.1029/JA095iA12p20673
W.H. Matthaeus, G. Qin, J.W. Bieber, G.P. Zank, Nonlinear collisionless perpendicular diffusion of charged particles. Astrophys. J. Lett. 590, L53–L56 (2003)
W.H. Matthaeus, J.W. Bieber, D. Ruffolo, P. Chuychai, J. Minnie, Spectral properties and length scales of two-dimensional magnetic field models. Astrophys. J. 667, 956–962 (2007). https://doi.org/10.1086/520924
W.H. Matthaeus, M. Wan, S. Servidio, A. Greco, K.T. Osman, S. Oughton, P. Dmitruk, Intermittency, nonlinear dynamics and dissipation in the solar wind and astrophysical plasmas. Philos. Trans. R. Soc. Lond. Ser. A 373(2041), 20140154 (2015). https://doi.org/10.1098/rsta.2014.0154
W.H. Matthaeus, Y. Yang, M. Wan, T.N. Parashar, R. Bandyopadhyay, A. Chasapis, O. Pezzi, F. Valentini, Pathways to dissipation in weakly collisional plasmas. Astrophys. J. 891(1), 101 (2020). https://doi.org/10.3847/1538-4357/ab6d6a
D.J. McComas, J.L. Phillips, A.J. Hundhausen, J.T. Burkepile, Observations of disconnection of open magnetic structures. Geophys. Res. Lett. 18(1), 73–76 (1991). https://doi.org/10.1029/90GL02480
R. Metzler, J. Klafter, The random walk’s guide to anomalous diffusion: A fractional dynamics approach. Phys. Rep. 339(1), 1–77 (2000). https://doi.org/10.1016/S0370-1573(00)00070-3
R. Metzler, J. Klafter, TOPICAL REVIEW: The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A, Math. Gen. 37(31), R161–R208 (2004). https://doi.org/10.1088/0305-4470/37/31/R01
A.V. Milovanov, L.M. Zelenyi, Development of fractal structure in the solar wind and distribution of magnetic field in the photosphere, in Washington DC American Geophysical Union Geophysical Monograph Series, vol. 84 (1994), pp. 43–52. https://doi.org/10.1029/GM084p0043
A.V. Milovanov, L.M. Zelenyi, “Strange” Fermi processes and power-law nonthermal tails from a self-consistent fractional kinetic equation. Phys. Rev. E 64, 052101 (2001). https://doi.org/10.1103/PhysRevE.64.052101
A.V. Milovanov, L.M. Zelenyi, P. Veltri, G. Zimbardo, A.L. Taktakishvili, Geometric description of the magnetic field and plasma coupling in the near-Earth stretched tail prior to a substorm. J. Atmos. Sol.-Terr. Phys. 63(7), 705–721 (2001). https://doi.org/10.1016/S1364-6826(00)00186-3
O.V. Mingalev, O.V. Khabarova, K.V. Malova, I.V. Mingalev, R.A. Kislov, M.N. Mel’nik, P.V. Setsko, L.M. Zelenyi, G.P. Zank, Modeling of proton acceleration in a magnetic island inside the ripple of the heliospheric current sheet. Sol. Syst. Res. 53(1), 30–55 (2019). https://doi.org/10.1134/S0038094619010064
J. Minnie, J.W. Bieber, W.H. Matthaeus, R.A. Burger, Suppression of particle drifts by turbulence. Astrophys. J. 670(2), 1149–1158 (2007). https://doi.org/10.1086/522026
K.D. Moloto, N.E. Engelbrecht, R.A. Burger, A simplified ab initio cosmic-ray modulation model with simulated time dependence and predictive capability. Astrophys. J. 859(2), 107 (2018). https://doi.org/10.3847/1538-4357/aac174
A.B. Navarro, B. Teaca, D. Told, D. Groselj, P. Crandall, F. Jenko, Structure of plasma heating in gyrokinetic Alfvénic turbulence. Phys. Rev. Lett. 117, 245101 (2016). https://doi.org/10.1103/PhysRevLett.117.245101
L. Ofman, A.F. Viñas, Two-dimensional hybrid model of wave and beam heating of multi-ion solar wind plasma. J. Geophys. Res. Space Phys. 112(A6), A06104 (2007). https://doi.org/10.1029/2006JA012187
L. Ofman, A.F. Viñas, P.S. Moya, Hybrid models of solar wind plasma heating. Ann. Geophys. 29(6), 1071–1079 (2011). https://doi.org/10.5194/angeo-29-1071-2011
M. Øieroset, T.D. Phan, M. Fujimoto, R.P. Lin, R.P. Lepping, In situ detection of collisionless reconnection in the Earth’s magnetotail. Nature 412(6845), 414–417 (2001). https://doi.org/10.1038/35086520
M. Oka, T.D. Phan, S. Krucker, M. Fujimoto, I. Shinohara, Electron acceleration by multi-island coalescence. Astrophys. J. 714, 915–926 (2010). https://doi.org/10.1088/0004-637X/714/1/915. arXiv:1004.1154
K.T. Osman, W.H. Matthaeus, A. Greco, S. Servidio, Evidence for inhomogeneous heating in the solar wind. Astrophys. J. Lett. 727, L11 (2011). https://doi.org/10.1088/2041-8205/727/1/L11
K.T. Osman, W.H. Matthaeus, B. Hnat, S.C. Chapman, Kinetic signatures and intermittent turbulence in the solar wind plasma. Phys. Rev. Lett. 108(26), 261103 (2012a). https://doi.org/10.1103/PhysRevLett.108.261103. arXiv:1203.6596
K.T. Osman, W.H. Matthaeus, M. Wan, A.F. Rappazzo, Intermittency and local heating in the solar wind. Phys. Rev. Lett. 108(26), 261102 (2012b). https://doi.org/10.1103/PhysRevLett.108.261102
S. Oughton, W.H. Matthaeus, Critical balance and the physics of magnetohydrodynamic turbulence. Astrophys. J. 897(1), 37 (2020). https://doi.org/10.3847/1538-4357/ab8f2a. arXiv:2006.04677
S. Oughton, E.R. Priest, W.H. Matthaeus, The influence of a mean magnetic field on three-dimensional magnetohydrodynamic turbulence. J. Fluid Mech. 280, 95–117 (1994)
S. Oughton, W.H. Matthaeus, C.W. Smith, B. Breech, P.A. Isenberg, Transport of solar wind fluctuations: A two-component model. J. Geophys. Res. 116, A08105 (2011). https://doi.org/10.1029/2010JA016365
S. Oughton, W.H. Matthaeus, P. Dmitruk, Reduced MHD in astrophysical applications: Two-dimensional or three-dimensional? Astrophys. J. 839(1), 2 (2017). https://doi.org/10.3847/1538-4357/aa67e2
I.D. Palmer, Transport coefficients of low-energy cosmic rays in interplanetary space. Rev. Geophys. Space Phys. 20, 335–351 (1982). https://doi.org/10.1029/RG020i002p00335
E.V. Panov, J. Büchner, M. Fränz, A. Korth, S.P. Savin, H. Rème, K.H. Fornaçon, High-latitude Earth’s magnetopause outside the cusp: Cluster observations. J. Geophys. Res. Space Phys. 113(A1), A01220 (2008). https://doi.org/10.1029/2006JA012123
E. Papini, L. Franci, S. Landi, A. Verdini, L. Matteini, P. Hellinger, Can Hall magnetohydrodynamics explain plasma turbulence at sub-ion scales? Astrophys. J. 870(1), 52 (2019). https://doi.org/10.3847/1538-4357/aaf003. arXiv:1810.02210
T.N. Parashar, W.H. Matthaeus, Propinquity of current and vortex structures: Effects on collisionless plasma heating. Astrophys. J. 832(1), 57 (2016). https://doi.org/10.3847/0004-637x/832/1/57
T.N. Parashar, M.A. Shay, P.A. Cassak, W.H. Matthaeus, Kinetic dissipation and anisotropic heating in a turbulent collisionless plasma. Phys. Plasmas 16(3), 032310 (2009). https://doi.org/10.1063/1.3094062
T.N. Parashar, W.H. Matthaeus, M.A. Shay, Dependence of kinetic plasma turbulence on plasma \(\beta\). Astrophys. J. 864(1), L21 (2018). https://doi.org/10.3847/2041-8213/aadb8b. arXiv:1807.11371
E.N. Parker, Sweet’s mechanism for merging magnetic fields in conducting fluids. J. Geophys. Res. 62, 509–520 (1957). https://doi.org/10.1029/JZ062i004p00509
E.I. Parkhomenko, H.V. Malova, E.E. Grigorenko, V.Y. Popov, A.A. Petrukovich, D.C. Delcourt, E.A. Kronberg, P.W. Daly, L.M. Zelenyi, Acceleration of plasma in current sheet during substorm dipolarizations in the Earth’s magnetotail: Comparison of different mechanisms. Phys. Plasmas 26(4), 042901 (2019). https://doi.org/10.1063/1.5082715
F. Pecora, S. Servidio, A. Greco, W.H. Matthaeus, D. Burgess, C.T. Haynes, V. Carbone, P. Veltri, Ion diffusion and acceleration in plasma turbulence. J. Plasma Phys. 84(6), 725840601 (2018)
F. Pecora, A. Greco, Q. Hu, S. Servidio, A.G. Chasapis, W.H. Matthaeus, Single-spacecraft identification of flux tubes and current sheets in the solar wind. Astrophys. J. 881(1), L11 (2019a). https://doi.org/10.3847/2041-8213/ab32d9
F. Pecora, F. Pucci, G. Lapenta, D. Burgess, S. Servidio, Statistical analysis of ions in two-dimensional plasma turbulence. Sol. Phys. 294(9), 114 (2019b). https://doi.org/10.1007/s11207-019-1507-6
C. Pei, J.W. Bieber, R.A. Burger, J. Clem, Three-dimensional wavy heliospheric current sheet drifts. Astrophys. J. 744(2), 170 (2012). https://doi.org/10.1088/0004-637X/744/2/170
R. Pellat, F.V. Coroniti, P.L. Pritchett, Does ion tearing exist? Geophys. Res. Lett. 18(2), 143–146 (1991). https://doi.org/10.1029/91GL00123
S. Perri, G. Zimbardo, Evidence of superdiffusive transport of electrons accelerated at interplanetary shocks. Astrophys. J. Lett. 671(2), L177–L180 (2007). https://doi.org/10.1086/525523
S. Perri, G. Zimbardo, Superdiffusive shock acceleration. Astrophys. J. 750(2), 87 (2012). https://doi.org/10.1088/0004-637X/750/2/87
S. Perri, D. Perrone, E. Yordanova, L. Sorriso-Valvo, W.R. Paterson, D.J. Gershman, B.L. Giles, C.J. Pollock, J.C. Dorelli, L.A. Avanov, B. Lavraud, Y. Saito, R. Nakamura, D. Fischer, W. Baumjohann, F. Plaschke, Y. Narita, W. Magnes, C.T. Russell, R.J. Strangeway, O.L. Contel, Y. Khotyaintsev, F. Valentini, On the deviation from Maxwellian of the ion velocity distribution functions in the turbulent magnetosheath. J. Plasma Phys. 86(1), 905860108 (2020). https://doi.org/10.1017/S0022377820000021. arXiv:1905.09466
D. Perrone, F. Valentini, P. Veltri, The role of alpha particles in the evolution of the solar-wind turbulence toward short spatial scales. Astrophys. J. 741(1), 43 (2011). http://stacks.iop.org/0004-637X/741/i=1/a=43
D. Perrone, F. Valentini, S. Servidio, S. Dalena, P. Veltri, Vlasov simulations of multi-ion plasma turbulence in the solar wind. Astrophys. J. 762(2), 99 (2013). http://stacks.iop.org/0004-637X/762/i=2/a=99
D. Perrone, S. Bourouaine, F. Valentini, E. Marsch, P. Veltri, Generation of temperature anisotropy for alpha particle velocity distributions in solar wind at 0.3 AU: Vlasov simulations and Helios observations. J. Geophys. Res. Space Phys. 119(4), 2400–2410 (2014a). https://doi.org/10.1002/2013JA019564
D. Perrone, F. Valentini, S. Servidio, S. Dalena, P. Veltri, Analysis of intermittent heating in a multi-component turbulent plasma. Eur. Phys. J. D 68(7), 209 (2014b). https://doi.org/10.1140/epjd/e2014-50152-1
D. Perrone, T. Passot, D. Laveder, F. Valentini, P.L. Sulem, I. Zouganelis, P. Veltri, S. Servidio, Fluid simulations of plasma turbulence at ion scales: Comparison with Vlasov-Maxwell simulations. Phys. Plasmas 25(5), 052302 (2018). https://doi.org/10.1063/1.5026656
O. Pezzi, Solar wind collisional heating. J. Plasma Phys. 83(3), 555830301 (2017). https://doi.org/10.1017/S0022377817000368
O. Pezzi, F. Valentini, P. Veltri, Collisional relaxation: Landau versus Dougherty operator. J. Plasma Phys. 81(1), 305810107 (2015). https://doi.org/10.1017/S0022377814000877
O. Pezzi, E. Camporeale, F. Valentini, Collisional effects on the numerical recurrence in Vlasov-Poisson simulations. Phys. Plasmas 23(2), 022103 (2016a). https://doi.org/10.1063/1.4940963
O. Pezzi, F. Valentini, P. Veltri, Collisional relaxation of fine velocity structures in plasmas. Phys. Rev. Lett. 116(14), 145001 (2016b). https://doi.org/10.1103/PhysRevLett.116.145001
O. Pezzi, F. Malara, S. Servidio, F. Valentini, T.N. Parashar, W.H. Matthaeus, P. Veltri, Turbulence generation during the head-on collision of Alfvénic wave packets. Phys. Rev. E 96, 023201 (2017a). https://doi.org/10.1103/PhysRevE.96.023201
O. Pezzi, T.N. Parashar, S. Servidio, F. Valentini, C.L. Vásconez, Y. Yang, F. Malara, W.H. Matthaeus, P. Veltri, Colliding Alfvénic wave packets in magnetohydrodynamics, Hall and kinetic simulations. J. Plasma Phys. 83(1), 705830108 (2017b). https://doi.org/10.1017/S0022377817000113
O. Pezzi, T.N. Parashar, S. Servidio, F. Valentini, C.L. Vásconez, Y. Yang, F. Malara, W.H. Matthaeus, P. Veltri, Revisiting a classic: The Parker–Moffatt problem. Astrophys. J. 834(2), 166 (2017c). http://stacks.iop.org/0004-637X/834/i=2/a=166
O. Pezzi, S. Servidio, D. Perrone, F. Valentini, L. Sorriso-Valvo, A. Greco, W.H. Matthaeus, P. Veltri, Velocity-space cascade in magnetized plasmas: Numerical simulations. Phys. Plasmas 25(6), 060704 (2018). https://doi.org/10.1063/1.5027685
O. Pezzi, G. Cozzani, F. Califano, F. Valentini, M. Guarrasi, E. Camporeale, G. Brunetti, A. Retinò, P. Veltri, Vida: A Vlasov–Darwin solver for plasma physics at electron scales. J. Plasma Phys. 85(5), 905850506 (2019a). https://doi.org/10.1017/S0022377819000631
O. Pezzi, D. Perrone, S. Servidio, F. Valentini, L. Sorriso-Valvo, P. Veltri, Proton-proton collisions in the turbulent solar wind: Hybrid Boltzmann-Maxwell simulations. Astrophys. J. 887, 208 (2019b). https://iopscience.iop.org/article/10.3847/1538-4357/ab5285
O. Pezzi, Y. Yang, F. Valentini, S. Servidio, A. Chasapis, W.H. Matthaeus, P. Veltri, Energy conversion in turbulent weakly collisional plasmas: Eulerian hybrid Vlasov-Maxwell simulations. Phys. Plasmas 26(7), 072301 (2019c). https://doi.org/10.1063/1.5100125. arXiv:1904.07715
O. Pezzi et al., Dissipation measures in weakly-collisional plasmas. J. Plasma Phys. (subm) (2020)
T.D. Phan, J.P. Eastwood, P.A. Cassak, M. Øieroset, J.T. Gosling, D.J. Gershman, F.S. Mozer, M.A. Shay, M. Fujimoto, W. Daughton, J.F. Drake, J.L. Burch, R.B. Torbert, R.E. Ergun, L.J. Chen, S. Wang, C. Pollock, J.C. Dorelli, B. Lavraud, B.L. Giles, T.E. Moore, Y. Saito, L.A. Avanov, W. Paterson, R.J. Strangeway, C.T. Russell, Y. Khotyaintsev, P.A. Lindqvist, M. Oka, F.D. Wilder, MMS observations of electron-scale filamentary currents in the reconnection exhaust and near the x line. Geophys. Res. Lett. 43(12), 6060–6069 (2016). https://doi.org/10.1002/2016GL069212
T.D. Phan, J.P. Eastwood, M. Shay, J. Drake, B.Ö. Sonnerup, M. Fujimoto, P. Cassak, M. Øieroset, J. Burch, R. Torbert et al., Electron magnetic reconnection without ion coupling in Earth’s turbulent magnetosheath. Nature 557(7704), 202 (2018)
M.S. Potgieter, Solar modulation of cosmic rays. Living Rev. Sol. Phys. 10(1), 3 (2013). https://doi.org/10.12942/lrsp-2013-3. arXiv:1306.4421
E.R. Priest, D.I. Pontin, Three-dimensional null point reconnection regimes. Phys. Plasmas 16(12), 122101 (2009). https://doi.org/10.1063/1.3257901
L. Primavera, F. Malara, S. Servidio, G. Nigro, P. Veltri, Parametric instability in two-dimensional Alfvénic turbulence. Astrophys. J. 880(2), 156 (2019). https://doi.org/10.3847/1538-4357/ab29f5
P. Pritchett, Collisionless magnetic reconnection in an asymmetric current sheet. J. Geophys. Res. Space Phys. 113, A06210 (2008)
P.L. Pritchett, The influence of intense electric fields on three-dimensional asymmetric magnetic reconnection. Phys. Plasmas 20(6), 061204 (2013). https://doi.org/10.1063/1.4811123
P.L. Pritchett, Three-dimensional structure and kinetic features of reconnection exhaust jets. J. Geophys. Res. Space Phys. 121(1), 214–226 (2016). https://doi.org/10.1002/2015JA022053
P.L. Pritchett, F.V. Coroniti, V.K. Decyk, Three-dimensional stability of thin quasi-neutral current sheets. J. Geophys. Res. 101(A12), 27413–27430 (1996). https://doi.org/10.1029/96JA02665
F. Pucci, C.L. Vásconez, O. Pezzi, S. Servidio, F. Valentini, W.H. Matthaeus, F. Malara, From Alfvén waves to kinetic Alfvén waves in an inhomogeneous equilibrium structure. J. Geophys. Res. Space Phys. 121(2), 1024–1045 (2016). https://doi.org/10.1002/2015JA022216
F. Pucci, S. Servidio, L. Sorriso-Valvo, V. Olshevsky, W.H. Matthaeus, F. Malara, M.V. Goldman, D.L. Newman, G. Lapenta, Properties of turbulence in the reconnection exhaust: Numerical simulations compared with observations. Astrophys. J. 841(1), 60 (2017a). https://doi.org/10.3847/1538-4357/aa704f
F. Pucci, M. Velli, A. Tenerani, Fast magnetic reconnection: “Ideal” tearing and the Hall effect. Astrophys. J. 845(1), 25 (2017b). https://doi.org/10.3847/1538-4357/aa7b82. arXiv:1704.08793
F. Pucci, W.H. Matthaeus, A. Chasapis, S. Servidio, L. Sorriso-Valvo, V. Olshevsky, D.L. Newman, M.V. Goldman, G. Lapenta, Generation of turbulence in colliding reconnection jets. Astrophys. J. 867(1), 10 (2018a). https://doi.org/10.3847/1538-4357/aadd0a
F. Pucci, M. Velli, A. Tenerani, D. Del Sarto, Onset of fast “ideal” tearing in thin current sheets: Dependence on the equilibrium current profile. Phys. Plasmas 25(3), 032113 (2018b). https://doi.org/10.1063/1.5022988. arXiv:1801.08412
R.A. Qudsi, R. Bandyopadhyay, B.A. Maruca, T.N. Parashar, W.H. Matthaeus, C. Ar, S.P. Gary, B.L. Giles, D.J. Gershman, C.J. Pollock, R.J. Strangeway, R.B. Torbert, T.E. Moore, J.L. Burch, Intermittency and ion temperature-anisotropy instabilities: Simulation and magnetosheath observation. Astrophys. J. 895(2), 83 (2020). https://doi.org/10.3847/1538-4357/ab89ad. arXiv:2004.06164
A.F. Rappazzo, M. Velli, G. Einaudi, R.B. Dahlburg, Coronal heating, weak MHD turbulence, and scaling laws. Astrophys. J. Lett. 657(1), L47–L51 (2007). https://doi.org/10.1086/512975. arXiv:astro-ph/0701872
A.F. Rappazzo, M. Velli, G. Einaudi, Shear photospheric forcing and the origin of turbulence in coronal loops. Astrophys. J. 722(1), 65–78 (2010). https://doi.org/10.1088/0004-637X/722/1/65. arXiv:1003.3872
A.F. Rappazzo, W.H. Matthaeus, D. Ruffolo, M. Velli, S. Servidio, Coronal heating topology: The interplay of current sheets and magnetic field lines. Astrophys. J. 844(1), 87 (2017). https://doi.org/10.3847/1538-4357/aa79f2. arXiv:1706.08983
A. Retinò, D. Sundkvist, A. Vaivads, F. Mozer, M. André, C.J. Owen, In situ evidence of magnetic reconnection in turbulent plasma. Nat. Phys. 3, 236–238 (2007). https://doi.org/10.1038/nphys574
V. Réville, M. Velli, A.P. Rouillard, B. Lavraud, A. Tenerani, C. Shi, A. Strugarek, Tearing instability and periodic density perturbations in the slow solar wind. Astrophys. J. Lett. 895(1), L20 (2020). https://doi.org/10.3847/2041-8213/ab911d. arXiv:2005.02679
B.B. Rossi, S. Olbert, Introduction to the Physics of Space (McGraw-Hill, New York, 1970)
V. Roytershteyn, S. Boldyrev, G.L. Delzanno, C.H.K. Chen, D. Grošelj, N.F. Loureiro, Numerical study of inertial kinetic-Alfvén turbulence. Astrophys. J. 870(2), 103 (2019). https://doi.org/10.3847/1538-4357/aaf288
A. Ruffenach, B. Lavraud, M.J. Owens, J.A. Sauvaud, N.P. Savani, A.P. Rouillard, P. Démoulin, C. Foullon, A. Opitz, A. Fedorov, C.J. Jacquey, V. Génot, P. Louarn, J.G. Luhmann, C.T. Russell, C.J. Farrugia, A.B. Galvin, Multispacecraft observation of magnetic cloud erosion by magnetic reconnection during propagation. J. Geophys. Res. Space Phys. 117(A9), A09101 (2012). https://doi.org/10.1029/2012JA017624
D. Ruffolo, W.H. Matthaeus, P. Chuychai, Trapping of solar energetic particles by the small-scale topology of solar wind turbulence. Astrophys. J. Lett. 597, L169–L172 (2003). https://doi.org/10.1086/379847
D. Ruffolo, T. Pianpanit, W.H. Matthaeus, P. Chuychai, Random ballistic interpretation of nonlinear guiding center theory. Astrophys. J. Lett. 747, L34 (2012). https://doi.org/10.1088/2041-8205/747/2/L34
A. Runov, V.A. Sergeev, W. Baumjohann, R. Nakamura, S. Apatenkov, Y. Asano, M. Volwerk, Z. Vörös, T.L. Zhang, A. Petrukovich, A. Balogh, J.A. Sauvaud, B. Klecker, H. Rème, Electric current and magnetic field geometry in flapping magnetotail current sheets. Ann. Geophys. 23(4), 1391–1403 (2005). https://doi.org/10.5194/angeo-23-1391-2005
A. Runov, V.A. Sergeev, R. Nakamura, W. Baumjohann, S. Apatenkov, Y. Asano, T. Takada, M. Volwerk, Z. Vörös, T.L. Zhang, J.A. Sauvaud, H. Rème, A. Balogh, Local structure of the magnetotail current sheet: 2001 cluster observations. Ann. Geophys. 24(1), 247–262 (2006). https://doi.org/10.5194/angeo-24-247-2006
F. Sahraoui, M.L. Goldstein, P. Robert, Y.V. Khotyaintsev, Evidence of a cascade and dissipation of solar-wind turbulence at the electron gyroscale. Phys. Rev. Lett. 102(23), 231102 (2009). https://doi.org/10.1103/PhysRevLett.102.231102
C.S. Salem, G.G. Howes, D. Sundkvist, S.D. Bale, C.C. Chaston, C.H.K. Chen, F.S. Mozer, Identification of kinetic Alfvén wave turbulence in the solar wind. Astrophys. J. Lett. 745(1), L9 (2012). https://doi.org/10.1088/2041-8205/745/1/L9
E. Sanchez-Diaz, A.P. Rouillard, B. Lavraud, E. Kilpua, J.A. Davies, In situ measurements of the variable slow solar wind near sector boundaries. Astrophys. J. 882(1), 51 (2019). https://doi.org/10.3847/1538-4357/ab341c
E.T. Sarris, S.M. Krimigis, C.O. Bostrom, T. Iijima, T.P. Armstrong, Location of the source of magnetospheric energetic particle bursts by multispacecraft observations. Geophys. Res. Lett. 3(8), 437–440 (1976). https://doi.org/10.1029/GL003i008p00437
K.H. Schatten, Large-scale properties of the interplanetary magnetic field. Rev. Geophys. Space Phys. 9, 773–812 (1971). https://doi.org/10.1029/RG009i003p00773
A.A. Schekochihin, S.C. Cowley, W. Dorland, G.W. Hammett, G.G. Howes, E. Quataert, T. Tatsuno, Astrophysical gyrokinetics: Kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas. Astrophys. J. Suppl. Ser. 182(1), 310–377 (2009). https://doi.org/10.1088/0067-0049/182/1/310. arXiv:0704.0044
A.A. Schekochihin, J.T. Parker, E.G. Highcock, P.J. Dellar, W. Dorland, G.W. Hammett, Phase mixing versus nonlinear advection in drift-kinetic plasma turbulence. J. Plasma Phys. 82(2), 905820212 (2016). https://doi.org/10.1017/S0022377816000374. arXiv:1508.05988
K. Schindler, Theories of tail structures. Space Sci. Rev. 23(3), 365–374 (1979). https://doi.org/10.1007/BF00172245. (Article published in the special issues: Proceedings of the Symposium on Solar Terrestrial Physics held in Innsbruck, May-June 1978 (pp. 137–538).)
K. Schindler, M. Hesse, J. Birn, General magnetic reconnection, parallel electric fields, and helicity. J. Geophys. Res. 93, 5547–5557 (1988). https://doi.org/10.1029/JA093iA06p05547
H. Schmitz, R. Grauer, Darwin–Vlasov simulations of magnetised plasmas. J. Comput. Phys. 214(2), 738–756 (2006)
J.D. Scudder, W. Daughton, “Illuminating” electron diffusion regions of collisionless magnetic reconnection using electron agyrotropy. J. Geophys. Res. 113, A06222 (2008). https://doi.org/10.1029/2008JA013035
A. Seripienlert, D. Ruffolo, W.H. Matthaeus, P. Chuychai, Dropouts in solar energetic particles: Associated with local trapping boundaries or current sheets? Astrophys. J. 711, 980–989 (2010). https://doi.org/10.1088/0004-637X/711/2/980
S. Servidio, V. Carbone, L. Primavera, P. Veltri, K. Stasiewicz, Compressible turbulence in Hall magnetohydrodynamics. Planet. Space Sci. 55(15), 2239–2243 (2007). https://doi.org/10.1016/j.pss.2007.05.023
S. Servidio, W.H. Matthaeus, M.A. Shay, P.A. Cassak, P. Dmitruk, Magnetic reconnection in two-dimensional magnetohydrodynamic turbulence. Phys. Rev. Lett. 102(11), 115003 (2009). https://doi.org/10.1103/PhysRevLett.102.115003
S. Servidio, W.H. Matthaeus, M.A. Shay, P. Dmitruk, P.A. Cassak, M. Wan, Statistics of magnetic reconnection in two-dimensional magnetohydrodynamic turbulence. Phys. Plasmas 17(3), 032315 (2010). https://doi.org/10.1063/1.3368798
S. Servidio, P. Dmitruk, A. Greco, M. Wan, S. Donato, P. Cassak, M. Shay, V. Carbone, W. Matthaeus, Magnetic reconnection as an element of turbulence. Nonlinear Process. Geophys. 18(5), 675–695 (2011a)
S. Servidio, A. Greco, W.H. Matthaeus, K.T. Osman, P. Dmitruk, Statistical association of discontinuities and reconnection in magnetohydrodynamic turbulence. J. Geophys. Res. Space Phys. 116(A9), A09102 (2011b). https://doi.org/10.1029/2011JA016569
S. Servidio, F. Valentini, F. Califano, P. Veltri, Local kinetic effects in two-dimensional plasma turbulence. Phys. Rev. Lett. 108(4), 045001 (2012). https://doi.org/10.1103/PhysRevLett.108.045001
S. Servidio, K.T. Osman, F. Valentini, D. Perrone, F. Califano, S. Chapman, W.H. Matthaeus, P. Veltri, Proton kinetic effects in Vlasov and solar wind turbulence. Astrophys. J. Lett. 781(2), L27 (2014). https://doi.org/10.1088/2041-8205/781/2/L27. arXiv:1306.6455
S. Servidio, F. Valentini, D. Perrone, A. Greco, F. Califano, W.H. Matthaeus, P. Veltri, A kinetic model of plasma turbulence. J. Plasma Phys. 81(1), 325810107 (2015). https://doi.org/10.1017/S0022377814000841
S. Servidio, C.T. Haynes, W.H. Matthaeus, D. Burgess, V. Carbone, P. Veltri, Explosive particle dispersion in plasma turbulence. Phys. Rev. Lett. 117, 095101 (2016). https://doi.org/10.1103/PhysRevLett.117.095101
S. Servidio, A. Chasapis, W.H. Matthaeus, D. Perrone, F. Valentini, T.N. Parashar, P. Veltri, D. Gershman, C.T. Russell, B. Giles, S.A. Fuselier, T.D. Phan, J. Burch, Magnetospheric multiscale observation of plasma velocity-space cascade: Hermite representation and theory. Phys. Rev. Lett. 119, 205101 (2017). https://doi.org/10.1103/PhysRevLett.119.205101
A. Shalchi, Nonlinear Cosmic Ray Diffusion Theories. Astrophysics and Space Science Library, vol. 362 (Springer, Berlin, 2009). https://doi.org/10.1007/978-3-642-00309-7
A. Shalchi, A unified particle diffusion theory for cross-field scattering: Subdiffusion, recovery of diffusion, and diffusion in three-dimensional turbulence. Astrophys. J. Lett. 720(2), L127–L130 (2010). https://doi.org/10.1088/2041-8205/720/2/L127
A. Shalchi, G. Li, G.P. Zank, Analytic forms of the perpendicular cosmic ray diffusion coefficient for an arbitrary turbulence spectrum and applications on transport of Galactic protons and acceleration at interplanetary shocks. Astrophys. Space Sci. 325(1), 99–111 (2010). https://doi.org/10.1007/s10509-009-0168-6
M.A. Shay, J.F. Drake, M. Swisdak, Two-scale structure of the electron dissipation region during collisionless magnetic reconnection. Phys. Rev. Lett. 99(15), 155002 (2007). https://doi.org/10.1103/PhysRevLett.99.155002. arXiv:0704.0818
M.A. Shay, C.C. Haggerty, T.D. Phan, J.F. Drake, P.A. Cassak, P. Wu, M. Oieroset, M. Swisdak, K. Malakit, Electron heating during magnetic reconnection: A simulation scaling study. Phys. Plasmas 21(12), 122902 (2014). https://doi.org/10.1063/1.4904203. arXiv:1410.1206
M.A. Shay, T.D. Phan, C.C. Haggerty, M. Fujimoto, J.F. Drake, K. Malakit, P.A. Cassak, M. Swisdak, Kinetic signatures of the region surrounding the X line in asymmetric (magnetopause) reconnection. Geophys. Res. Lett. 43(9), 4145–4154 (2016). https://doi.org/10.1002/2016GL069034. arXiv:1602.00779
M.A. Shay, C.C. Haggerty, W.H. Matthaeus, T.N. Parashar, M. Wan, P. Wu, Turbulent heating due to magnetic reconnection. Phys. Plasmas 25(1), 012304 (2018). https://doi.org/10.1063/1.4993423
J.V. Shebalin, W.H. Matthaeus, D. Montgomery, Anisotropy in MHD turbulence due to a mean magnetic field. J. Plasma Phys. 29, 525–547 (1983). https://doi.org/10.1017/S0022377800000933
J.R. Shuster, D.J. Gershman, L.J. Chen, S. Wang, N. Bessho, J.C. Dorelli, D.E. da Silva, B.L. Giles, W.R. Paterson, R.E. Denton, S.J. Schwartz, C. Norgren, F.D. Wilder, P.A. Cassak, M. Swisdak, V. Uritsky, C. Schiff, A.C. Rager, S. Smith, L.A. Avanov, A.F. Viñas, MMS measurements of the Vlasov equation: Probing the electron pressure divergence within thin current sheets. Geophys. Res. Lett. 46(14), 7862–7872 (2019). https://doi.org/10.1029/2019GL083549
I. Silin, J. Büchner, L. Zelenyi, Instabilities of collisionless current sheets: Theory and simulations. Phys. Plasmas 9, 1104–1112 (2002). https://doi.org/10.1063/1.1459056
N. Sioulas, H. Isliker, L. Vlahos, Stochastic turbulent acceleration in a fractal environment. Astrophys. J. Lett. 895(1), L14 (2020). https://doi.org/10.3847/2041-8213/ab9092. arXiv:2005.02668
M.I. Sitnov, H.V. Malova, A.T.Y. Lui, Quasi-neutral sheet tearing instability induced by electron preferential acceleration from stochasticity. J. Geophys. Res. 102(A1), 163–174 (1997). https://doi.org/10.1029/96JA01872
M.I. Sitnov, A.S. Sharma, P.N. Guzdar, P.H. Yoon, Reconnection onset in the tail of Earth’s magnetosphere. J. Geophys. Res. Space Phys. 107(A9), 1256 (2002). https://doi.org/10.1029/2001JA009148
M.I. Sitnov, A.T.Y. Lui, P.N. Guzdar, P.H. Yoon, Current-driven instabilities in forced current sheets. J. Geophys. Res. Space Phys. 109(A3), A03205 (2004). https://doi.org/10.1029/2003JA010123
V. Skoutnev, A. Hakim, J. Juno, J.M. TenBarge, Temperature-dependent saturation of Weibel-type instabilities in counter-streaming plasmas. Astrophys. J. Lett. 872(2), L28 (2019). https://doi.org/10.3847/2041-8213/ab0556. arXiv:1902.08672
J.A. Slavin, Mercury’s magnetosphere. Adv. Space Res. 33(11), 1859–1874 (2004). https://doi.org/10.1016/j.asr.2003.02.019
J.A. Slavin, M.H. Acuña, B.J. Anderson, D.N. Baker, M. Benna, G. Gloeckler, R.E. Gold, G.C. Ho, R.M. Killen, H. Korth, S.M. Krimigis, R.L. McNutt, L.R. Nittler, J.M. Raines, D. Schriver, S.C. Solomon, R.D. Starr, P. Trávníček, T.H. Zurbuchen, Mercury’s magnetosphere after MESSENGER’s first flyby. Science 321(5885), 85 (2008). https://doi.org/10.1126/science.1159040
C.W. Smith, W.H. Matthaeus, G.P. Zank, N.F. Ness, S. Oughton, J.D. Richardson, Heating of the low-latitude solar wind by dissipation of turbulent magnetic fluctuations. J. Geophys. Res. Space Phys. 106(A5), 8253–8272 (2001)
D. Smith, S. Ghosh, P. Dmitruk, W.H. Matthaeus, Hall and turbulence effects on magnetic reconnection. Geophys. Res. Lett. 31(2), L02805 (2004). https://doi.org/10.1029/2003GL018689. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018689
C.W. Smith, P.A. Isenberg, W.H. Matthaeus, J.D. Richardson, Turbulent heating of the solar wind by newborn interstellar pickup protons. Astrophys. J. 638(1), 508–517 (2006). https://doi.org/10.1086/498671
B.V. Somov, The solar corona: Why it is interesting for us. Astron. Tsirkulyar 1596, 1–6 (2013)
H.Q. Song, Y. Chen, K. Liu, S.W. Feng, L.D. Xia, Quasi-periodic releases of streamer blobs and velocity variability of the slow solar wind near the Sun. Sol. Phys. 258(1), 129–140 (2009). https://doi.org/10.1007/s11207-009-9411-0. arXiv:0907.0819
B.U.Ö. Sonnerup, Magnetic field reconnection, in Solar System Plasma Physics (A79-53667 24-46), vol. 3 (North-Holland, Amsterdam, 1979), pp. 45–108
L. Sorriso-Valvo, V. Carbone, P. Veltri, G. Consolini, R. Bruno, Intermittency in the solar wind turbulence through probability distribution functions of fluctuations. Geophys. Res. Lett. 26(13), 1801–1804 (1999). https://doi.org/10.1029/1999GL900270. arXiv:physics/9903043
L. Sorriso-Valvo, R. Marino, V. Carbone, A. Noullez, F. Lepreti, P. Veltri, R. Bruno, B. Bavassano, E. Pietropaolo, Observation of inertial energy cascade in interplanetary space plasma. Phys. Rev. Lett. 99(11), 115001 (2007). https://doi.org/10.1103/PhysRevLett.99.115001. arXiv:astro-ph/0702264
L. Sorriso-Valvo, D. Perrone, O. Pezzi, F. Valentini, S. Servidio, I. Zouganelis, P. Veltri, Local energy transfer rate and kinetic processes: The fate of turbulent energy in two-dimensional hybrid Vlasov–Maxwell numerical simulations. J. Plasma Phys. 84(2), 725840201 (2018). https://doi.org/10.1017/S0022377818000302
L. Sorriso-Valvo, F. Catapano, A. Retinò, O. Le Contel, D. Perrone, O.W. Roberts, J.T. Coburn, V. Panebianco, F. Valentini, S. Perri, A. Greco, F. Malara, V. Carbone, P. Veltri, O. Pezzi, F. Fraternale, F. Di Mare, R. Marino, B. Giles, T.E. Moore, C.T. Russell, R.B. Torbert, J.L. Burch, Y.V. Khotyaintsev, Turbulence-driven ion beams in the magnetospheric Kelvin-Helmholtz instability. Phys. Rev. Lett. 122, 035102 (2019). https://doi.org/10.1103/PhysRevLett.122.035102
T.W. Speiser, Particle trajectories in model current sheets, 1, analytical solutions. J. Geophys. Res. 70(17), 4219–4226 (1965). https://doi.org/10.1029/JZ070i017p04219
J.E. Stawarz, J.P. Eastwood, K.J. Genestreti, R. Nakamura, R.E. Ergun, D. Burgess, J.L. Burch, S.A. Fuselier, D.J. Gershman, B.L. Giles, O. Le Contel, P.A. Lindqvist, C.T. Russell, R.B. Torbert, Intense electric fields and electron-scale substructure within magnetotail flux ropes as revealed by the magnetospheric multiscale mission. Geophys. Res. Lett. 45(17), 8783–8792 (2018). https://doi.org/10.1029/2018GL079095
J.E. Stawarz, J.P. Eastwood, T.D. Phan, I.L. Gingell, M.A. Shay, J.L. Burch, R.E. Ergun, B.L. Giles, D.J. Gershman, O.L. Contel, P.A. Lindqvist, C.T. Russell, R.J. Strangeway, R.B. Torbert, M.R. Argall, D. Fischer, W. Magnes, L. Franci, Properties of the turbulence associated with electron-only magnetic reconnection in Earth’s magnetosheath. Astrophys. J. 877(2), L37 (2019). https://doi.org/10.3847/2041-8213/ab21c8
R.D. Strauss, M.S. Potgieter, I. Büsching, A. Kopp, Modelling heliospheric current sheet drift in stochastic cosmic ray transport models. Astrophys. Space Sci. 339(2), 223–236 (2012). https://doi.org/10.1007/s10509-012-1003-z
P.A. Sturrock, Stochastic acceleration. Phys. Rev. 141, 186–191 (1966). https://doi.org/10.1103/PhysRev.141.186
D. Sundkvist, A. Retinò, A. Vaivads, S.D. Bale, Dissipation in turbulent plasma due to reconnection in thin current sheets. Phys. Rev. Lett. 99, 025004 (2007). https://doi.org/10.1103/PhysRevLett.99.025004
S.I. Syrovatskiı̌, Formation of current sheets in a plasma with a frozen-in strong magnetic field. Sov. Phys. JETP 33, 933 (1971)
T. Tatsuno, W. Dorland, A.A. Schekochihin, G.G. Plunk, M. Barnes, S.C. Cowley, G.G. Howes, Nonlinear phase mixing and phase-space cascade of entropy in gyrokinetic plasma turbulence. Phys. Rev. Lett. 103(1), 015003 (2009). https://doi.org/10.1103/PhysRevLett.103.015003. arXiv:0811.2538
R.C. Tautz, A. Shalchi, Drift coefficients of charged particles in turbulent magnetic fields. Astrophys. J. 744(2), 125 (2012). https://doi.org/10.1088/0004-637X/744/2/125
J.M. TenBarge, G.G. Howes, Current sheets and collisionless damping in kinetic plasma turbulence. Astrophys. J. Lett. 771, L27 (2013). https://doi.org/10.1088/2041-8205/771/2/L27. arXiv:1304.2958
J.M. TenBarge, G.G. Howes, W. Dorland, Collisionless damping at electron scales in solar wind turbulence. Astrophys. J. 774(2), 139 (2013). https://doi.org/10.1088/0004-637X/774/2/139
A. Tenerani, A.F. Rappazzo, M. Velli, F. Pucci, The tearing mode instability of thin current sheets: The transition to fast reconnection in the presence of viscosity. Astrophys. J. 801(2), 145 (2015a)
A. Tenerani, M. Velli, A.F. Rappazzo, F. Pucci, Magnetic reconnection: Recursive current sheet collapse triggered by “ideal” tearing. Astrophys. J. Lett. 813(2), L32 (2015b)
J.A. Tessein, W.H. Matthaeus, M. Wan, K.T. Osman, D. Ruffolo, J. Giacalone, Association of suprathermal particles with coherent structures and shocks. Astrophys. J. 776, L8 (2013). https://doi.org/10.1088/2041-8205/776/1/L8
S.V. Thampi, C. Krishnaprasad, P.R. Shreedevi, T.K. Pant, A. Bhardwaj, Acceleration of energetic ions in corotating interaction region near 1.5 au: Evidence from MAVEN. Astrophys. J. Lett. 880(1), L3 (2019). https://doi.org/10.3847/2041-8213/ab2b43. arXiv:1908.00816
P. Tooprakai, P. Chuychai, J. Minnie, D. Ruffolo, J.W. Bieber, W.H. Matthaeus, Temporary topological trapping and escape of charged particles in a flux tube as a cause of delay in time asymptotic transport. Geophys. Res. Lett. 34, 17105 (2007). https://doi.org/10.1029/2007GL030672
P. Tooprakai, A. Seripienlert, D. Ruffolo, P. Chuychai, W.H. Matthaeus, Simulations of lateral transport and dropout structure of energetic particles from impulsive solar flares. Astrophys. J. 831, 195 (2016). https://doi.org/10.3847/0004-637X/831/2/195
R.B. Torbert, J.L. Burch, B.L. Giles, D. Gershman, C.J. Pollock, J. Dorelli, L. Avanov, M.R. Argall, J. Shuster, R.J. Strangeway, C.T. Russell, R.E. Ergun, F.D. Wilder, K. Goodrich, H.A. Faith, C.J. Farrugia, P.A. Lindqvist, T. Phan, Y. Khotyaintsev, T.E. Moore, G. Marklund, W. Daughton, W. Magnes, C.A. Kletzing, S. Bounds, Estimates of terms in ohm’s law during an encounter with an electron diffusion region. Geophys. Res. Lett. 43(12), 5918–5925 (2016). https://doi.org/10.1002/2016GL069553. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1002/2016GL069553
R.B. Torbert, J.L. Burch, T.D. Phan, M. Hesse, M.R. Argall, J. Shuster, R.E. Ergun, L. Alm, R. Nakamura, K.J. Genestreti, D.J. Gershman, W.R. Paterson, D.L. Turner, I. Cohen, B.L. Giles, C.J. Pollock, S. Wang, L.J. Chen, J.E. Stawarz, J.P. Eastwood, K.J. Hwang, C. Farrugia, I. Dors, H. Vaith, C. Mouikis, A. Ardakani, B.H. Mauk, S.A. Fuselier, C.T. Russell, R.J. Strangeway, T.E. Moore, J.F. Drake, M.A. Shay, Y.V. Khotyaintsev, P.A. Lindqvist, W. Baumjohann, F.D. Wilder, N. Ahmadi, J.C. Dorelli, L.A. Avanov, M. Oka, D.N. Baker, J.F. Fennell, J.B. Blake, A.N. Jaynes, O. Le Contel, S.M. Petrinec, B. Lavraud, Y. Saito, Electron-scale dynamics of the diffusion region during symmetric magnetic reconnection in space. Science 362(6421), 1391–1395 (2018). https://doi.org/10.1126/science.aat2998. https://science.sciencemag.org/content/362/6421/1391.full.pdf
C. Tronci, E. Camporeale, Neutral Vlasov kinetic theory of magnetized plasmas. Phys. Plasmas 22(2), 020704 (2015). https://doi.org/10.1063/1.4907665
D. Trotta, L. Franci, D. Burgess, P. Hellinger, Fast acceleration of transrelativistic electrons in astrophysical turbulence. Astrophys. J. 894(2), 136 (2020). https://doi.org/10.3847/1538-4357/ab873c. arXiv:1910.11935
A.Y. Ukhorskiy, M.I. Sitnov, V.G. Merkin, M. Gkioulidou, D.G. Mitchell, Ion acceleration at dipolarization fronts in the inner magnetosphere. J. Geophys. Res. Space Phys. 122(3), 3040–3054 (2017). https://doi.org/10.1002/2016JA023304
T. Umeda, Y. Wada, Secondary instabilities in the collisionless Rayleigh-Taylor instability: Full kinetic simulation. Phys. Plasmas 23(11), 112117 (2016). https://doi.org/10.1063/1.4967859
T. Umeda, Y. Wada, Non-MHD effects in the nonlinear development of the MHD-scale Rayleigh-Taylor instability. Phys. Plasmas 24(7), 072307 (2017). https://doi.org/10.1063/1.4991409
T. Umeda, K. Togano, T. Ogino, Two-dimensional full-electromagnetic Vlasov code with conservative scheme and its application to magnetic reconnection. Comput. Phys. Commun. 180(3), 365–374 (2009). https://doi.org/10.1016/j.cpc.2008.11.001
T. Umeda, J.i. Miwa, Y. Matsumoto, T.K.M. Nakamura, K. Togano, K. Fukazawa, I. Shinohara, Full electromagnetic Vlasov code simulation of the Kelvin-Helmholtz instability. Phys. Plasmas 17(5), 052311 (2010). https://doi.org/10.1063/1.3422547
D.A. Uzdensky, Magnetic reconnection in extreme astrophysical environments. Space Sci. Rev. 160(1), 45–71 (2011). https://doi.org/10.1007/s11214-011-9744-5
S. Vafin, M. Riazantseva, M. Pohl, Coulomb collisions as a candidate for temperature anisotropy constraints in the solar wind. Astrophys. J. Lett. 871(1), L11 (2019). https://doi.org/10.3847/2041-8213/aafb11
A. Vaivads, Y. Khotyaintsev, M. André, A. Retinò, S.C. Buchert, B.N. Rogers, P. Décréau, G. Paschmann, T.D. Phan, Structure of the magnetic reconnection diffusion region from four-spacecraft observations. Phys. Rev. Lett. 93, 105001 (2004). https://doi.org/10.1103/PhysRevLett.93.105001
A. Vaivads, A. Retinò, J. Soucek, Y.V. Khotyaintsev, F. Valentini, C.P. Escoubet, O. Alexandrova, M. André, S.D. Bale, M. Balikhin et al., Turbulence heating observer – satellite mission proposal. J. Plasma Phys. 82(5), 905820501 (2016). https://doi.org/10.1017/S0022377816000775
F. Valentini, P. Trávníček, F. Califano, P. Hellinger, A. Mangeney, A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma. J. Comput. Phys. 225(1), 753–770 (2007)
F. Valentini, P. Veltri, F. Califano, A. Mangeney, Cross-scale effects in solar-wind turbulence. Phys. Rev. Lett. 101(2), 025006 (2008). https://doi.org/10.1103/PhysRevLett.101.025006
F. Valentini, F. Califano, D. Perrone, F. Pegoraro, P. Veltri, New ion-wave path in the energy cascade. Phys. Rev. Lett. 106(16), 165002 (2011a). https://doi.org/10.1103/PhysRevLett.106.165002
F. Valentini, D. Perrone, P. Veltri, Short-wavelength electrostatic fluctuations in the solar wind. Astrophys. J. 739(1), 54 (2011b). https://doi.org/10.1088/0004-637x/739/1/54
F. Valentini, S. Servidio, D. Perrone, F. Califano, W. Matthaeus, P. Veltri, Hybrid Vlasov-Maxwell simulations of two-dimensional turbulence in plasmas. Phys. Plasmas 21(8), 082307 (2014)
F. Valentini, D. Perrone, S. Stabile, O. Pezzi, S. Servidio, R.D. Marco, F. Marcucci, R. Bruno, B. Lavraud, J.D. Keyser, G. Consolini, D. Brienza, L. Sorriso-Valvo, A. Retinò, A. Vaivads, M. Salatti, P. Veltri, Differential kinetic dynamics and heating of ions in the turbulent solar wind. New J. Phys. 18(12), 125001 (2016). http://stacks.iop.org/1367-2630/18/i=12/a=125001
F. Valentini, C.L. Vásconez, O. Pezzi, S. Servidio, F. Malara, F. Pucci, Transition to kinetic turbulence at proton scales driven by large-amplitude kinetic Alfvén fluctuations. Astron. Astrophys. 599, A8 (2017). https://doi.org/10.1051/0004-6361/201629240
C.L. Vásconez, F. Pucci, F. Valentini, S. Servidio, W.H. Matthaeus, F. Malara, Kinetic Alfvén wave generation by large-scale phase mixing. Astrophys. J. 815(1), 7 (2015). http://stacks.iop.org/0004-637X/815/i=1/a=7
I.Y. Vasko, I.V. Kuzichev, A.V. Artemyev, S.D. Bale, J.W. Bonnell, F.S. Mozer, On quasi-parallel whistler waves in the solar wind. Phys. Plasmas 27(8), 082902 (2020). https://doi.org/10.1063/5.0003401
B.J. Vasquez, C.W. Smith, K. Hamilton, B.T. MacBride, R.J. Leamon, Evaluation of the turbulent energy cascade rates from the upper inertial range in the solar wind at 1 AU. J. Geophys. Res. Space Phys. 112(A7), A07101 (2007). https://doi.org/10.1029/2007JA012305
V.M. Vasyliunas, Low-energy electrons in the magnetosphere as observed by ogo-1 and ogo-3, in Physics of the Magnetosphere (Springer, Berlin, 1968), pp. 622–640
D. Vech, K.G. Klein, J.C. Kasper, Nature of stochastic ion heating in the solar wind: Testing the dependence on plasma beta and turbulence amplitude. Astrophys. J. Lett. 850(1), L11 (2017). https://doi.org/10.3847/2041-8213/aa9887. arXiv:1711.01508
M. Verma, D. Roberts, M. Goldstein, Turbulent heating and temperature evolution in the solar wind plasma. J. Geophys. Res. Space Phys. 100(A10), 19839–19850 (1995)
D. Verscharen, K.G. Klein, B.A. Maruca, The multi-scale nature of the solar wind. Living Rev. Sol. Phys. 16(1), 5 (2019)
M. Wan, W.H. Matthaeus, S. Servidio, S. Oughton, Generation of X-points and secondary islands in 2D magnetohydrodynamic turbulence. Phys. Plasmas 20, 042307 (2013). https://doi.org/10.1063/1.4802985
M. Wan, A.F. Rappazzo, W.H. Matthaeus, S. Servidio, S. Oughton, Dissipation and reconnection in boundary-driven reduced magnetohydrodynamics. Astrophys. J. 797, 63 (2014). https://doi.org/10.1088/0004-637X/797/1/63
M. Wan, W.H. Matthaeus, V. Roytershteyn, H. Karimabadi, T. Parashar, P. Wu, M. Shay, Intermittent dissipation and heating in 3D kinetic plasma turbulence. Phys. Rev. Lett. 114(17), 175002 (2015). https://doi.org/10.1103/PhysRevLett.114.175002
M. Wan, W.H. Matthaeus, V. Roytershteyn, T.N. Parashar, P. Wu, H. Karimabadi, Intermittency, coherent structures and dissipation in plasma turbulence. Phys. Plasmas 23(4), 042307 (2016). https://doi.org/10.1063/1.4945631
Y.M. Wang, P. Hess, Gradual streamer expansions and the relationship between blobs and inflows. Astrophys. J. 859(2), 135 (2018). https://doi.org/10.3847/1538-4357/aabfd5
Y.M. Wang, J.N.R. Sheeley, J.H. Walters, G.E. Brueckner, R.A. Howard, D.J. Michels, P.L. Lamy, R. Schwenn, G.M. Simnett, Origin of streamer material in the outer corona. Astrophys. J. Lett. 498(2), L165–L168 (1998). https://doi.org/10.1086/311321
Y.M. Wang, N.R. Sheeley, D.G. Socker, R.A. Howard, N.B. Rich, The dynamical nature of coronal streamers. J. Geophys. Res. 105(A11), 25133–25142 (2000). https://doi.org/10.1029/2000JA000149
B. Wang, J. Kuo, S.C. Bae, S. Granick, When Brownian diffusion is not Gaussian. Nat. Mater. 11(6), 481 (2012)
Z. Wang, H.S. Fu, C.M. Liu, Y.Y. Liu, G. Cozzani, B.L. Giles, K.J. Hwang, J.L. Burch, Electron distribution functions around a reconnection X-line resolved by the FOTE method. Geophys. Res. Lett. 46(3), 1195–1204 (2019). https://doi.org/10.1029/2018GL081708
S. Wang, R. Wang, Q. Lu, H. Fu, S. Wang, Direct evidence of secondary reconnection inside filamentary currents of magnetic flux ropes during magnetic reconnection. Nat. Commun. 11(1), 1–8 (2020)
G.M. Webb, N.J. Martinic, H. Moraal, Scatter free propagation and drifts of cosmic-rays in the heliosphere, in International Cosmic Ray Conference. International Cosmic Ray Conference, vol. 10 (1981), p. 109
J.M. Wilcox, J.T. Hoeksema, P.H. Scherrer, Origin of the warped heliospheric current sheet. Science 209, 603–605 (1980). https://doi.org/10.1126/science.209.4456.603
F. Wilder, R. Ergun, J. Burch, N. Ahmadi, S. Eriksson, T. Phan, K. Goodrich, J. Shuster, A. Rager, R. Torbert et al., The role of the parallel electric field in electron-scale dissipation at reconnecting currents in the magnetosheath. J. Geophys. Res. Space Phys. 123(8), 6533–6547 (2018)
P. Wu, S. Perri, K. Osman, M. Wan, W.H. Matthaeus, M.A. Shay, M.L. Goldstein, H. Karimabadi, S. Chapman, Intermittent heating in solar wind and kinetic simulations. Astrophys. J. Lett. 763(2), L30 (2013). https://doi.org/10.1088/2041-8205/763/2/L30
Q. Xia, V. Zharkova, Particle acceleration in coalescent and squashed magnetic islands - I. Test particle approach. Astron. Astrophys. 620, A121 (2018). https://doi.org/10.1051/0004-6361/201833599
Q. Xia, V. Zharkova, Particle acceleration in coalescent and squashed magnetic islands. II. Particle-in-cell approach. Astron. Astrophys. 635, A116 (2020). https://doi.org/10.1051/0004-6361/201936420
X. Xu, F. Wei, X. Feng, Observations of reconnection exhausts associated with large-scale current sheets within a complex ICME at 1 AU. J. Geophys. Res. Space Phys. 116(A5), A05105 (2011). https://doi.org/10.1029/2010JA016159. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2010JA016159
F. Xu, G. Li, L. Zhao, Y. Zhang, O. Khabarova, B. Miao, J. le Roux, Angular distribution of solar wind magnetic field vector at 1 AU. Astrophys. J. 801(1), 58 (2015). https://doi.org/10.1088/0004-637X/801/1/58
Y. Yang, W.H. Matthaeus, T.N. Parashar, C.C. Haggerty, V. Roytershteyn, W. Daughton, M. Wan, Y. Shi, S. Chen, Energy transfer, pressure tensor, and heating of kinetic plasma. Phys. Plasmas 24(7), 072306 (2017a). https://doi.org/10.1063/1.4990421
Y. Yang, W.H. Matthaeus, T.N. Parashar, P. Wu, M. Wan, Y. Shi, S. Chen, V. Roytershteyn, W. Daughton, Energy transfer channels and turbulence cascade in Vlasov-Maxwell turbulence. Phys. Rev. E 95, 061201 (2017b). https://doi.org/10.1103/PhysRevE.95.061201
S.T. Yao, Q.Q. Shi, R.L. Guo, Z.H. Yao, H.S. Fu, A.W. Degeling, Q.G. Zong, X.G. Wang, C.T. Russell, A.M. Tian, Y.C. Xiao, H. Zhang, S.M. Wang, H.Q. Hu, J. Liu, H. Liu, B. Li, B.L. Giles, Kinetic-scale flux rope in the magnetosheath boundary layer. Astrophys. J. 897(2), 137 (2020). https://doi.org/10.3847/1538-4357/ab9620
P.H. Yoon, A.T.Y. Lui, On the drift-sausage mode in one-dimensional current sheet. J. Geophys. Res. 106(A2), 1939–1948 (2001). https://doi.org/10.1029/2000JA000130
G.P. Zank, W.K.M. Rice, C.C. Wu, Particle acceleration and coronal mass ejection driven shocks: A theoretical model. J. Geophys. Res. Space Phys. 105(A11), 25079–25095 (2000). https://doi.org/10.1029/1999JA000455. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/1999JA000455
G.P. Zank, J.A. le Roux, G.M. Webb, A. Dosch, O. Khabarova, Particle acceleration via reconnection processes in the supersonic solar wind. Astrophys. J. 797, 28 (2014). https://doi.org/10.1088/0004-637X/797/1/28
G.P. Zank, P. Hunana, P. Mostafavi, J.A. le Roux, G. Li, G.M. Webb, O.V. Khabarova, Particle acceleration by combined diffusive shock acceleration and downstream multiple magnetic island acceleration. J. Phys. Conf. Ser. 642, 012031 (2015a)
G.P. Zank, P. Hunana, P. Mostafavi, J.A. le Roux, G. Li, G.M. Webb, O. Khabarova, A. Cummings, E. Stone, R. Decker, Diffusive shock acceleration and reconnection acceleration processes. Astrophys. J. 814, 137 (2015b). https://doi.org/10.1088/0004-637X/814/2/137
A. Zeiler, D. Biskamp, J.F. Drake, B.N. Rogers, M.A. Shay, M. Scholer, Three-dimensional particle simulations of collisionless magnetic reconnection. J. Geophys. Res. Space Phys. 107(A9), SMP 6-1–SMP 6-9 (2002). https://doi.org/10.1029/2001JA000287. https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2001JA000287
L.M. Zelenyi, A.V. Milovanov, REVIEWS OF TOPICAL PROBLEMS: Fractal topology and strange kinetics: From percolation theory to problems in cosmic electrodynamics. Phys. Usp. 47(8), R01 (2004). https://doi.org/10.1070/PU2004v047n08ABEH001705
L.M. Zelenyi, A.S. Lipatov, D.G. Lominadze, A.L. Taktakishvili, The dynamics of the energetic proton bursts in the course of the magnetic field topology reconstruction in the Earth’s magnetotail. Planet. Space Sci. 32(3), 313–324 (1984). https://doi.org/10.1016/0032-0633(84)90167-3
L.M. Zelenyi, J.G. Lominadze, A.L. Taktakishvili, Generation of the energetic proton and electron bursts in planetary magnetotails. J. Geophys. Res. 95(A4), 3883–3891 (1990). https://doi.org/10.1029/JA095iA04p03883
L. Zelenyi, A.V. Milovanov, G. Zimbardo, Multiscale magnetic structure of the distant tail: Self-consistent fractal approach, in Geophysical Monograph-American Geophysical Union, vol. 105 (1998), pp. 321–339
L. Zelenyi, M. Sitnov, H. Malova, A. Sharma, Thin and superthin ion current sheets. Quasi-adiabatic and nonadiabatic models. Nonlinear Process. Geophys. 7, 127–139 (2000). https://doi.org/10.5194/npg-7-127-2000
L.M. Zelenyi, H. Malova, V. Popov, Splitting of thin current sheets in the Earth’s magnetosphere. JETP Lett. 78, 296–299 (2003). https://doi.org/10.1134/1.1625728
L. Zelenyi, H. Malova, V.Y. Popov, D. Delcourt, A. Sharma, Nonlinear equilibrium structure of thin currents sheets: Influence of electron pressure anisotropy. Nonlinear Process. Geophys. 11, 579–587 (2004). https://doi.org/10.5194/npg-11-579-2004
L.M. Zelenyi, H.V. Malova, V.Y. Popov, D.C. Delcourt, N.Y. Ganushkina, A.S. Sharma, “Matreshka” model of multilayered current sheet. Geophys. Res. Lett. 33(5), L05105 (2006). https://doi.org/10.1029/2005GL025117
L.M. Zelenyi, M.S. Dolgonosov, E.E. Grigorenko, J.A. Sauvaud, Universal properties of the nonadiabatic acceleration of ions in current sheets. JETP Lett. 85(4), 187–193 (2007). https://doi.org/10.1134/S0021364007040017
L. Zelenyi, A. Artemiev, H. Malova, V. Popov, Marginal stability of thin current sheets in the Earth’s magnetotail. J. Atmos. Sol.-Terr. Phys. 70(2–4), 325–333 (2008). https://doi.org/10.1016/j.jastp.2007.08.019
L.M. Zelenyi, A.V. Artemyev, A.A. Petrukovich, R. Nakamura, H.V. Malova, V.Y. Popov, Low frequency eigenmodes of thin anisotropic current sheets and Cluster observations. Ann. Geophys. 27(2), 861–868 (2009a). https://doi.org/10.5194/angeo-27-861-2009
L.M. Zelenyi, A.P. Kropotkin, V.I. Domrin, A.V. Artemyev, H.V. Malova, V.Y. Popov, Tearing mode in thin current sheets of the Earth’s magnetosphere: A scenario of transition to unstable state. Cosm. Res. 47(5), 352–360 (2009b). https://doi.org/10.1134/S0010952509050025
L.M. Zelenyi, A. Petrukovich, A.V. Artemyev, K.V. Malova, R. Nakamura, Metastability of current sheets. Phys. Usp. 53(9), 933–941 (2010). https://doi.org/10.3367/UFNr.0180.201009g.0973
L. Zelenyi, H. Malova, A. Artemyev, V.Y. Popov, A. Petrukovich, Thin current sheets in collisionless plasma: Equilibrium structure, plasma instabilities, and particle acceleration. Plasma Phys. Rep. 37(2), 118–160 (2011). https://doi.org/10.1134/S1063780X1102005X
L. Zelenyi, H. Malova, E. Grigorenko, V. Popov, D. Delcourt, Current sheets in planetary magnetospheres. Plasma Phys. Control. Fusion 61(5), 054002 (2019). https://doi.org/10.1088/1361-6587/aafbbf
S. Zenitani, M. Hesse, A. Klimas, M. Kuznetsova, New measure of the dissipation region in collisionless magnetic reconnection. Phys. Rev. Lett. 106(19), 195003 (2011)
L.L. Zhao, G.P. Zank, O. Khabarova, S. Du, Y. Chen, L. Adhikari, Q. Hu, An unusual energetic particle flux enhancement associated with solar wind magnetic island dynamics. Astrophys. J. Lett. 864(2), L34 (2018)
L.L. Zhao, G.P. Zank, L. Adhikari, Q. Hu, J.C. Kasper, S.D. Bale, K.E. Korreck, A.W. Case, M. Stevens, J.W. Bonnell, T. Dudok de Wit, K. Goetz, P.R. Harvey, R.J. MacDowall, D.M. Malaspina, M. Pulupa, D.E. Larson, R. Livi, P. Whittlesey, K.G. Klein, Identification of magnetic flux ropes from Parker solar probe observations during the first encounter. Astrophys. J. Suppl. Ser. 246(2), 26 (2020). https://doi.org/10.3847/1538-4365/ab4ff1. arXiv:1912.02349
V.V. Zharkova, O.V. Khabarova, Particle dynamics in the reconnecting heliospheric current sheet: Solar wind data versus three-dimensional particle-in-cell simulations. Astrophys. J. 752(1), 35 (2012). https://doi.org/10.1088/0004-637X/752/1/35
V.V. Zharkova, O.V. Khabarova, Additional acceleration of solar-wind particles in current sheets of the heliosphere. Ann. Geophys. 33(4), 457–470 (2015). https://doi.org/10.5194/angeo-33-457-2015
V. Zhdankin, D.A. Uzdensky, J.C. Perez, S. Boldyrev, Statistical analysis of current sheets in three-dimensional magnetohydrodynamic turbulence. Astrophys. J. 771, 124 (2013). https://doi.org/10.1088/0004-637X/771/2/124
J. Zheng, Q. Hu, Observational evidence for self-generation of small-scale magnetic flux ropes from intermittent solar wind turbulence. Astrophys. J. Lett. 852, L23 (2018)
X.Z. Zhou, V. Angelopoulos, V.A. Sergeev, A. Runov, Accelerated ions ahead of earthward propagating dipolarization fronts. J. Geophys. Res. Space Phys. 115(A8), A00I03 (2010). https://doi.org/10.1029/2010JA015481
Z. Zhu, R.M. Winglee, Tearing instability, flux ropes, and the kinetic current sheet kink instability in the Earth’s magnetotail: A three-dimensional perspective from particle simulations. J. Geophys. Res. 101(A3), 4885–4898 (1996). https://doi.org/10.1029/95JA03144
G. Zimbardo, S. Perri, From Lévy walks to superdiffusive shock acceleration. Astrophys. J. 778(1), 35 (2013). https://doi.org/10.1088/0004-637X/778/1/35
G. Zimbardo, S. Perri, Superdiffusive shock acceleration at galaxy cluster shocks. Nat. Astron. 1, 0163 (2017). https://doi.org/10.1038/s41550-017-0163
G. Zimbardo, P. Pommois, P. Veltri, Superdiffusive and subdiffusive transport of energetic particles in solar wind anisotropic magnetic turbulence. Astrophys. J. Lett. 639(2), L91–L94 (2006). https://doi.org/10.1086/502676
G. Zimbardo, E. Amato, A. Bovet, F. Effenberger, A. Fasoli, H. Fichtner, I. Furno, K. Gustafson, P. Ricci, S. Perri, Superdiffusive transport in laboratory and astrophysical plasmas. J. Plasma Phys. 81(6), 495810601 (2015). https://doi.org/10.1017/S0022377815001117
G. Zimbardo, S. Perri, F. Effenberger, H. Fichtner, Fractional Parker equation for the transport of cosmic rays: Steady-state solutions. Astron. Astrophys. 607, A7 (2017). https://doi.org/10.1051/0004-6361/201731179
Acknowledgements
This work is supported by the International Space Science Institute (ISSI) in the framework of International Team 405 entitled “Current Sheets, Turbulence, Structures and Particle Acceleration in the Heliosphere.”. O.P. thanks Dr. D. Trotta and Dr. F. Catapano for friendly and precious conversations on some of the topics discussed in this review.
Funding
R.K., H.M. and O.K. are partially supported by Russian Foundation for Basic Research (RFBR) grant 19-02-00957. H.M. acknowledges the partial support of Volkswagen Foundation grant Az90 312. J. A. le Roux acknowledges support from NASA Grants 80NSSC19K027, NSF-DOE grant PHY-1707247, and NSF-EPSCoR RII-Track-1 Cooperative Agreement OIA-1655280. S.S. acknowledges the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 776262 (AIDA, www.aida-space.eu).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflicts of interest/Competing interests
The authors declare no conflict of interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Pezzi, O., Pecora, F., le Roux, J. et al. Current Sheets, Plasmoids and Flux Ropes in the Heliosphere. Space Sci Rev 217, 39 (2021). https://doi.org/10.1007/s11214-021-00799-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11214-021-00799-7