Abstract
The low-frequency electrical conductivity of strongly nonideal hydrogen, helium, and xenon plasmas was measured in the megabar range of pressures. The plasmas in question were generated by the method of multiple shock compression in planar and cylindrical geometries, whereby it was possible to reduce effects of irreversible heating and to implement a quasi-isentropic regime. As a result, plasma states at pressures in the megabar range were realized, where the electron concentration could be as high as n e ≈2×023 cm−3, which may correspond to either a degenerate or a Boltzmann plasma characterized by a strong Coulomb Γ D =1–10) and a strong interatomic Γ a =r a n 1/3a ∼1) interaction. A sharp increase (by three to five orders of magnitude) in the electrical conductivity of a strongly nonideal plasma due to pressure-produced ionization was recorded, and theoretical models were invoked to describe this increase. Experimental data available in this region and theoretical models proposed by various authors are analyzed. The possibility of a first-order “phase transition” in a strongly nonideal plasma is indicated.
Similar content being viewed by others
References
Encyclopedia of Low-Temperature Plasma, Ed. by V. E. Fortov (Nauka, Moscow, 2000).
V. K. Gryaznov, I. L. Iosilevskii, Yu. G. Krasnikov, et al., Thermal Properties of Working Media of Gas-Phase Nuclear Reactor, Ed. by V. M. Ievlev (Atomizdat, Moscow, 1980).
V. E. Fortov and I. T. Yakubov, Nonideal Plasma (Énergoatomizdat, Moscow, 1994).
L. D. Landau and Yu. B. Zel’dovich, Zh. Éksp. Teor. Fiz. 14, 32 (1944).
N. F. Mott and E. A. Davis, Electron Processes in Non-Crystalline Materials, 2nd ed. (Clarendon Press, Oxford, 1979; Mir, Moscow, 1982).
F. Hensel and E. U. Frank, Rev. Mod. Phys. 40, 697 (1968).
A. G. Barsukov, P. E. Kovrov, V. M. Kuligin, et al., in Proceedings of 8th IAEA Conference (1989), Vol. 1, p. 83.
V. A. Alekseev and A. A. Vedenov, Usp. Fiz. Nauk 102, 665 (1970) [Sov. Phys.-Usp. 13, 522 (1970)].
A. W. DeSilva and J. D. Katsouros, Phys. Rev. E 57, 5945 (1998).
A. V. Bushman, B. L. Glushak, V. K. Gryaznov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 44, 375 (1986) [JETP Lett. 44, 480 (1986)].
E. G. Maksimov, Usp. Fiz. Nauk 169, 1223 (1999) [Phys.-Usp. 42, 1121 (1999)].
E. Wigner and H. B. Huntington, J. Chem. Phys. 3, 764 (1935).
A. A. Abrikosov, Astron. Zh. 31, 112 (1954).
N. W. Ashkroft, Phys. Rev. Lett. 21, 1748 (1968).
E. G. Brovman, Yu. Kogan, and A. Kholac, Zh. Éksp. Teor. Fiz. 61, 2429 (1971) [Sov. Phys. JETP 34, 1300 (1971)].
V. P. Trubitsyn, Fiz. Tverd. Tela (Leningrad) 8, 862 (1966) [Sov. Phys. Solid State 8, 688 (1966)].
M. Ross and A. K. McMahan, Phys. Rev. B 21, 1658 (1980).
D. A. Young, A. K. McMahan, and M. Ross, Phys. Rev. B 24, 5119 (1981).
J. C. Boettger, Phys. Rev. B 33, 6788 (1986).
K. A. Goettel, J. H. Eggert, I. F. Silvera, and W. C. Moss, Phys. Rev. Lett. 62, 665 (1989).
E. N. Avrorin, B. K. Vodolaga, B. A. Simonenko, and V. E. Fortov, Usp. Fiz. Nauk 163(5), 1 (1993) [Phys.-Usp. 36, 337 (1993)].
W. Ebeling, A. Förster, V. Fortov, V. Gryaznov, and A. Polishchuk, Thermophysical Properties of Hot Dense Plasmas (Teubner, Stuttgart, 1991).
D. Saumon and G. Chabrier, Phys. Rev. Lett. 62, 2397 (1989); D. Saumon and G. Chabrier, Phys. Rev. A 46, 2084 (1992).
I. A. Mulenko, E. N. Olejnikova, A. L. Khomkin, et al., Phys. Lett. A 289, 141 (2001).
G. É. Norman and A. N. Starostin, Teplofiz. Vys. Temp. 8, 413 (1970).
M. A. Mochalov and O. N. Kuznetsov, in Abstracts of III Khariton Topical Readings (Sarov, 2001), p. 108.
F. V. Grigor’ev, S. B. Kormer, O. L. Mikhailova, et al., Zh. Éksp. Teor. Fiz. 75, 1683 (1978) [Sov. Phys. JETP 48, 847 (1978)].
S. I. Belov, G. V. Boriskov, A. I. Bykov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 76, 508 (2002) [JETP Lett. 76, 433 (2002)].
R. S. Hawke, T. J. Burgers, D. E. Duerre, et al., Phys. Rev. Lett. 41, 994 (1978).
A. I. Pavlovskii, G. V. Boriskov, et al., in Megagauss Technology and Pulsed Power Applications, Ed. by C. M. Fowler (Plenum, New York and London, 1987).
L. B. Da Silva, P. Celliers, G. W. Collins, et al., Phys. Rev. Lett. 78, 483 (1997).
A. N. Mostovych, Y. Chan, T. Lehecha, et al., Phys. Rev. Lett. 85, 3870 (2000).
M. D. Knudsen, D. L. Hanson, J. B. Bailey, et al., Phys. Rev. Lett. 90, 035505 (2003).
N. S. Holmes, M. Ross, and W. J. Nellis, Phys. Rev. B 52, 15835 (1995).
W. J. Nellis, S. T. Weir, and A. C. Mitchell, Rev. High Pressure Sci. Technol. 7, 870 (1998); S. T. Weir, A. C. Mitchell, and W. J. Nellis, Phys. Rev. Lett. 76, 1860 (1996).
V. E. Fortov, V. Ya. Ternovoi, S. V. Kvitov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 69, 874 (1999) [JETP Lett. 69, 926 (1999)]; V. Ya. Ternovoi, A. S. Filimonov, V. E. Fortov, et al., Physica B (Amsterdam) 265, 6 (1999).
D. Beule, W. Ebeling, A. Förster, et al., Phys. Rev. B 59, 14177 (1999).
M. Robnic and W. Kundt, Astron. Astrophys. 120, 227 (1983).
P. Haronska, D. Krempt, et al., Wiss. Z. Wilhelm-Pieck-Univ. Rostock, Naturwiss. Reihe 36, 98 (1987).
W. J. Nellis, Planet. Space Sci. 48, 671 (2000).
V. B. Mintsev, V. Ya. Ternovoi, V. K. Gryaznov, et al., in Shock Compression of Condensed Matter-1999, Ed. by S. C. Schmidt, D. P. Dandekar, and J. W. Forbes (Woodbury, New York, 2000), p. 987.
V. Ya. Ternovoi, A. S. Filimonov, A. A. Pyalling, et al., in Shock Compression of Condensed Matter-2001, Ed. by M. D. Furnish, N. N. Thadhani, and Y. Horie (AIP Press, New York, 2002), p. 107.
V. Ya. Ternovoi, in Nonstationary Problems in Hydrodynamics (Inst. Gidrodin., Sib. Otd. Akad. Nauk SSSR, 1980), No. 48, p. 141.
S. T. Weir, A. C. Mitchell, and W. J. Nellis, J. Appl. Phys. 80, 1522 (1996).
L. M. Barker, T. G. Trucano, J. L. Wize, and J. R. Asay, in Proceedings of Conference on Shock Waves in Condensed Matter-85 (Plenum, New York, 1986), p. 455.
H. Juranek, R. Redmer, G. Roepke, et al., Plasma Phys. 39, 251 (1999).
A. V. Bushman, I. V. Lomonosov, and V. E. Fortov, Equations of State of Metals at High Energy Densities (Inst. Probl. Khim. Fiz., Chernogolovka, 1992).
I. A. Adamskaya, F. V. Grigor’ev, O. L. Mikhailova, et al., Zh. Éksp. Teor. Fiz. 93, 647 (1987) [Sov. Phys. JETP 66, 366 (1987)].
V. D. Urlin, M. A. Mochalov, and O. L. Mikhailova, High Press. Res. 8, 595 (1992).
V. D. Urlin, M. A. Mochalov, and O. L. Mikhailova, Zh. Éksp. Teor. Fiz. 111, 2099 (1997) [JETP 84, 1145 (1997)].
E. I. Zababakhin, Mechanics in USSR for 50 Years (Nauka, Moscow, 1979).
A. I. Pavlovskii, G. D. Kuleshov, G. V. Sklizkov, et al., Dokl. Akad. Nauk SSSR 160, 68 (1965) [Sov. Phys. Dokl. 10, 30 (1965)].
A. A. Brish, M. S. Tarasov, and V. A. Tsukerman, Zh. Éksp. Teor. Fiz. 38, 22 (1960) [Sov. Phys. JETP 11, 15 (1960)].
V. M. Zamalin, G. É. Norman, and V. S. Filinov, Monte Carlo Method in Statistical Thermodynamics (Nauka, Moscow, 1977; Mir, Moscow, 1977).
A. A. Likal’ter, Zh. Éksp. Teor. Fiz. 113, 1094 (1998) [JETP 86, 598 (1998)].
R. Redmer, G. Roepke, S. Kuhlbrodt, and H. Reinholz, Contrib. Plasma Phys. 41, 163 (2001).
Yu. V. Ivanov, V. E. Fortov, V. B. Mintsev, and A. N. Dremin, Zh. Éksp. Teor. Fiz. 71, 216 (1976) [Sov. Phys. JETP 44, 112 (1976)].
V. B. Mintsev and V. E. Fortov, Pis’ma Zh. Éksp. Teor. Fiz. 30, 401 (1979) [JETP Lett. 30, 375 (1979)].
V. B. Mintsev, V. E. Fortov, and V. K. Gryaznov, Zh. Éksp. Teor. Fiz. 79, 116 (1980) [Sov. Phys. JETP 52, 59 (1980)].
M. I. Eremets, E. A. Gregoryanz, V. V. Struzhkin, et al., Phys. Rev. Lett. 85, 2797 (2000).
S. V. Dudin, V. E. Fortov, et al., in Shock Compression of Condensed Matter-1997, Ed. by S. C. Schmidt, D. P. Dandekar, and J. W. Forbes (AIP Press, New York, 1998), p. 793.
L. A. Gatilov, V. D. Glukhodedov, F. V. Grigor’ev, et al., Prikl. Mekh. Tekh. Fiz., No. 1, 99 (1985).
M. I. Dolotenko, A. I. Bykov, et al., in Megagauss and Megaamper Pulsed Power and Related Topics, Ed. by V. Chernishev, V. Selimir, and L. Plyashkevitch (VHI-IEF, Sarov, 1997), p. 805.
V. D. Glukhodedov, S. I. Kirshanov, T. S. Lebedeva, and M. A. Mochalov, Zh. Éksp. Teor. Fiz. 116, 551 (1999) [JETP 89, 292 (1999)].
L. I. Veeser, C. A. Ekdah, H. Oona, et al., in Abstracts of VIII International Conference on Megagauss Magnetic Field Generation and Related Topics, Tallahassee (1998), p. 239.
K. Seeger, Semiconductor Physics ((Springer, Berlin, 1974; Mir, Moscow, 1977).
V. K. Gryaznov, M. V. Zhernokletov, V. N. Zubarev, et al., Zh. Éksp. Teor. Fiz. 78, 573 (1980) [Sov. Phys. JETP 51, 288 (1980)].
J. M. Zaiman, Principles of the Theory of Solids, 2nd ed. (Cambridge Univ. Press, London, 1972; Mir, Moscow, 1966).
W. J. Nellis, S. T. Weir, N. C. Holmes, et al., UCRL-125039, LLNL (1996).
V. K. Gryaznov, I. L. Iosilevskii, and V. E. Fortov, Pis’ma Zh. Tekh. Fiz. 8, 1378 (1982) [Sov. Tech. Phys. Lett. 8, 592 (1982)].
V. K. Gryaznov and V. E. Fortov, Teplofiz. Vys. Temp. 25, 1208 (1987).
V. K. Gryaznov, M. V. Zhernokletov, I. L. Iosilevskii, et al., Zh. Éksp. Teor. Fiz. 114, 1242 (1998) [JETP 87, 678 (1998)].
I. L. Iosilevskii, Teplofiz. Vys. Temp. 18, 355 (1980).
V. K. Gryaznov, I. L. Iosilevskii, and V. E. Fortov, in Shock Waves and Extremal States of Substance, Ed. by V. E. Fortov, L. V. Al’tshuler, R. F. Trunin, and A. I. Funtikov (Nauka, Moscow, 2000).
D. A. Young, UCRL-52352, LLNL (1977).
A. G. Gaydon and I. R. Hurle, The Shock Tube in High-Temperature Chemical Physics (Chapman and Hall, London, 1963; Mir, Moscow, 1966).
V. B. Mintsev and V. E. Fortov, Teplofiz. Vys. Temp. 20, 745 (1982).
E. S. Yakub, Teplofiz. Vys. Temp. 28, 664 (1990); Physica B (Amsterdam) 265, 31 (1999).
C. Pierleoni, D. M. Ceperley, B. Bernu, and W. R. Magro, Phys. Rev. Lett. 73, 2145 (1994).
L. Collins, I. Kwon, J. Kress, et al., Phys. Rev. E 52, 6202 (1995); S. Günter and A. Kötnies, Phys. Rev. E 55, 907 (1997).
M. Knaup, P. Reinhard, and C. Topffer, Contrib. Plasma Phys. 39, 57 (1999).
G. I. Kerley, in Theoretical Equation of State for Deuterium (National Technical Information Service, Spring-field, VA, 1972), NTIS Document No. LA-47766.
M. Ross, Phys. Rev. B 58, 669 (1998).
F. Ree, M. Ross, and D. Young, J. Chem. Phys. 79, 1487 (1983).
R. Keeler, M. Van Thiel, and B. Alder, Physica (Amsterdam) 31, 1437 (1965).
W. Nellis, M. Van Thiel, and A. Mitchel, Phys. Rev. Lett. 48, 816 (1982).
M. I. Kulish, V. K. Gryaznov, V. B. Mintsev, et al., Teplofiz. Vys. Temp. 33, 967 (1995).
K. A. Goettel, J. H. Eggert, I. F. Silvera, and W. C. Moss, Phys. Rev. Lett. 62, 665 (1989).
R. Reichlin, K. E. Brister, A. K. McMahan, et al., Phys. Rev. Lett. 62, 669 (1989).
H. B. Radousky and M. Ross, Phys. Lett. A 129, 43 (1988).
V. E. Fortov, V. K. Gryaznov, V. B. Mintsev, et al., Contrib. Plasma Phys. 41, 215 (2001).
F. V. Grigor’ev, S. B. Kormer, O. L. Mikhailova, et al., Zh. Éksp. Teor. Fiz. 88, 1271 (1985) [Sov. Phys. JETP 61, 751 (1985)].
W. J. Nellis, N. C. Holmes, A. C. Mitchell, et al., Phys. Rev. Lett. 53, 1248 (1984).
V. K. Gryaznov, Yu. V. Ivanov, A. N. Starostin, and V. E. Fortov, Teplofiz. Vys. Temp. 14, 643 (1976).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 124, No. 2, 2003, pp. 288–309.
Original Russian Text Copyright © 2003 by Fortov, Ternovo\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\), Zhernokletov, Mochalov, Mikhailov, Filimonov, Pyalling, Mintsev, Gryaznov, Iosilevski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\).
Rights and permissions
About this article
Cite this article
Fortov, V.E., Ternovoi, V.Y., Zhernokletov, M.V. et al. Pressure-produced ionization of nonideal plasma in a megabar range of dynamic pressures. J. Exp. Theor. Phys. 97, 259–278 (2003). https://doi.org/10.1134/1.1608993
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1608993