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Lane formation in 3D driven pair-ion plasmas: II Non-Parallel External Forcing
Published online by Cambridge University Press: 18 May 2023
Abstract
In Part 1 of the companion paper, we have investigated lane formation dynamics of driven three-dimensional (3-D) pair-ion plasmas (PIP) in the presence of parallel external forcing using extensive Langevin dynamics (LD) simulation. In continuation of the work, in this Part 2, we investigate lane formation dynamics in the presence of non-parallel external forcing, and the effect of both constant and time varying forces are studied. In our model, positively charged PIP particles are pushed into the field direction by an external force $\boldsymbol{F}_{A} = E_A\cos \omega _At$
while the negatively charged PIP particles are pulled by an external force $\boldsymbol{F}_{B} = E_B\cos \omega _Bt$
in a direction perpendicular to the external force $\boldsymbol{F}_{A}$
. We show that in the case of non-parallel forces, the lanes are observed with an orientation (characterised by angle of inclination $\theta$
) tilted in the direction of the force difference vector ($\boldsymbol{F}_{A} - \boldsymbol{F}_{B}$
). The instantaneous lane order parameter, order parameter with gradient of angle of inclination ($\phi (\theta )$
) and distribution function of $\Delta \theta$
have been implemented to characterise the phase transition. A spontaneous formation and breaking of lanes are observed when under the influence of time-varying forces. The effect is further investigated for three different situations: first, when $\omega _A \neq 0$
and $\omega _B = 0$
; second, when $\omega _A = \omega _B \neq 0$
; and third, for $\omega _A \neq \omega _B \neq 0$
. Our study reveals that for the first case, a periodic oscillation of angle of inclination is observed. If oscillating forces of the same frequency are applied, the oscillation in angle of inclination disappears, and spontaneous formation and breaking of lanes is observed. However, in the presence of forces with different frequencies, flipping of lane inclination between the positive and negative domain of $\theta$
is observed. Further, some aspects of the lane formation dynamics of a PIP system is also studied in the presence of an external magnetic field where the lane formation dynamics is found to be accelerated.
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- Copyright © The Author(s), 2023. Published by Cambridge University Press
References
Aburdzhaniia, G.D., Mikhailovskii, A.B., Onishchenko, O.G., Sharapov, S.E. & Churikov, A.P. 1984 Electromagnetic vortices in a plasma. In Nonlinear and Turbulent Processes in Physics (ed. Sagdeev, R.Z.), p. 1. Harwood Academic Publishers.Google Scholar
Baruah, S., Prajapati, V.K. & Ganesh, R. 2021 a Lane dynamics in pair-ion plasmas: effect of obstacle and geometric aspect ratio. J. Plasma Phys. 87 (6), 905870601.CrossRefGoogle Scholar
Baruah, S., Sarma, U. & Ganesh, R. 2021 b Effect of external magnetic field on lane formation in driven pair-ion plasmas. J. Plasma Phys. 87 (2), 905870202.CrossRefGoogle Scholar
Bruggeman, P. & Leys, C. 2009 Non-thermal plasmas in and in contact with liquids. J. Phys. D: Appl. Phys. 42 (5), 053001.CrossRefGoogle Scholar
Dzubiella, J., Hoffmann, G.P. & Löwen, H. 2002 Lane formation in colloidal mixtures driven by an external field. Phys. Rev. E 65, 021402.CrossRefGoogle ScholarPubMed
Glanz, T. & Löwen, H. 2012 The nature of the laning transition in two dimensions. J. Phys.: Condens. Matter 24 (46), 464114.Google ScholarPubMed
Hynninen, A.-P., Leunissen, M.E., van Blaaderen, A. & Dijkstra, M. 2006 Cuau structure in the restricted primitive model and oppositely charged colloids. Phys. Rev. Lett. 96, 018303.CrossRefGoogle ScholarPubMed
Kong, M.G., Kroesen, G., Morfill, G., Nosenko, T., Shimizu, T., van Dijk, J. & Zimmermann, J.L. 2009 Plasma medicine: an introductory review. New J. Phys. 11 (11), 115012.CrossRefGoogle Scholar
Leunissen, M.E., Christova, C.G., Hynninen, A.-P., Royall, C.P., Campbell, A.I., Imhof, A., Dijkstra, M., van Roij, R. & van Blaaderen, A. 2005 Ionic colloidal crystals of oppositely charged particles. Nature 437 (7056), 235–240.CrossRefGoogle ScholarPubMed
Lichtenberg, S., Nandelstädt, D., Dabringhausen, L., Redwitz, M., Luhmann, J. & Mentel, J. 2002 Observation of different modes of cathodic arc attachment to hid electrodes in a model lamp. J. Phys. D: Appl. Phys. 35 (14), 1648.CrossRefGoogle Scholar
Ostrikov, K.K., Cvelbar, U. & Murphy, A.B. 2011 Plasma nanoscience: setting directions, tackling grand challenges. J. Phys. D: Appl. Phys. 44 (17), 174001.CrossRefGoogle Scholar
Podvigina, O.M. 2006 Magnetic field generation by convective flows in a plane layer. Eur. Phys. J. B 50, 639–652.CrossRefGoogle Scholar
Prajapati, V.K., Baruah, S. & Ganesh, R. 2023 Lane formation in 3D driven pair-ion plasmas: I Parallel External Forcing. J. Plasma Phys. 89, 905890301. doi:10.1017/S0022377823000375CrossRefGoogle Scholar
Sarma, U., Baruah, S. & Ganesh, R. 2020 Lane formation in driven pair-ion plasmas. Phys. Plasmas 27, 012106.CrossRefGoogle Scholar
Sun, Z. & Alwahabi, Z. 2022 Beam-crossing configuration to control plasma position, improve spatial resolution, and enhance emissions in single-pulse, laser-induced breakdown spectroscopy in gases. Appl. Opt. 61 (2), 316–323.CrossRefGoogle ScholarPubMed
Traylor, M.J., Pavlovich, M.J., Karim, S., Hait, P., Sakiyama, Y., Clark, D.S. & Graves, D.B. 2011 Long-term antibacterial efficacy of air plasma-activated water. J. Phys. D: Appl. Phys. 44 (47), 472001.CrossRefGoogle Scholar
Trelles, J.P. 2013 Computational study of flow dynamics from a dc arc plasma jet. J. Phys. D: Appl. Phys. 46 (25), 255201.CrossRefGoogle Scholar
Yang, G. & Heberlein, J. 2007 Instabilities in the anode region of atmospheric pressure arc plasmas. Plasma Sources Sci. Technol. 16 (4), 765.CrossRefGoogle Scholar