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Quantum Hall-MHD equations for a non-uniform dense magnetoplasma with electron temperature anisotropy

Published online by Cambridge University Press:  01 October 2008

P. K. SHUKLA  and
L. STENFLO
P. K. SHUKLA
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany (ps@tp4.rub.de) Department of Physics, Umeå University, SE-90187 Umeå, Sweden (lennart.stenflo@physics.umu.se)
L. STENFLO
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany (ps@tp4.rub.de) Department of Physics, Umeå University, SE-90187 Umeå, Sweden (lennart.stenflo@physics.umu.se)
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Abstract

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Nonlinear quantum Hall-MHD equations for a warm dense magnetoplasma with an anisotropic electron pressure are derived. The nonlinear equations include the quantum force associated with electron tunneling effects. The newly found equations can be used to investigate the dense plasma stability, as well as different types of waves, instabilities, and nonlinear structures in a warm dense magnetoplasma.

Type
Letter to the Editor
Information
Journal of Plasma Physics , Volume 74 , Issue 5 , October 2008 , pp. 575 - 579
Copyright
Copyright © Cambridge University Press 2008

References

[1]Klimontovich, Yu. L. and Silin, V. P. 1952 ZhETF 23, 151.Google Scholar
[2]Kon'kov, V. L., Gorshenko, V. N. and Bogdanov, E. P. 1967 Izvestiya VUZ Fizika 10, 71.Google Scholar
[3]Wigner, E. 1932 Phys. Rev. 40, 749.CrossRefGoogle Scholar
[4]Bohm, D. and Pines, D. 1953 Phys. Rev. 92, 609.Google Scholar
[5]Pines, D. 1961 Plasma Phys. 2, 2.Google Scholar
[6]Kelley, D. C. 1964 Phys. Rev. 134, A641.CrossRefGoogle Scholar
[7]Oberman, C. and Ron, A. 1963 Phys. Rev. 130, 1291.CrossRefGoogle Scholar
[8]Kuzelev, M. V. and Rukhadze, A. A. 1999 Phys. Usp. 42, 603.Google Scholar
[9]Maafa, N. 1993 Phys. Scr. 48, 351.Google Scholar
[10]Melrose, D. B. and Weise, J. I. 2002 Phys. Plasmas 9, 4473.Google Scholar
[11]Shukla, P. K. 2007 Phys. Lett. A 369, 312.CrossRefGoogle Scholar
[12]Ren, H., Wu, Z. and Chu, P. K. 2007 Phys. Plasmas 14, 062102.CrossRefGoogle Scholar
[13]Marklund, M. and Brodin, G. 2007 Phys. Rev. Lett. 98, 025001.Google Scholar
[14]Brodin, G. and Marklund, M. 2007 Phys. Rev. E 76, 055403.Google Scholar
[15]Manfredi, G. 2005 Fields Inst. Comm. 46, 263.Google Scholar
[16]Shukla, P. K. and Stenflo, L. 2006 Phys. Plasmas 13, 044505.Google Scholar
[17]Shaikh, D. and Shukla, P. K. 2007 Phys. Rev. Lett. 99, 125002.CrossRefGoogle Scholar
[18]Shukla, P. K. and Eliasson, B. 2006 Phys. Rev. Lett. 96, 245001.Google Scholar
[19]Shukla, P. K. and Eliasson, B. 2007 Phys. Rev. Lett. 99, 096401.Google Scholar
[20]Brodin, G. and Marklund, M. 2007 Phys. Plasmas 14, 112107.Google Scholar
[21]Chabrier, G., Douchin, F. and Potekhin, A. Y. 2002 J. Phys.: Condens. Matter 14, 9133.Google Scholar
[22]Chabrier, G., Saumon, D. and Potekhin, A. Y. 2006 J. Phys. A: Math. Gen. 39, 4411.CrossRefGoogle Scholar
[23]Harding, A. K. and Lai, D. 2006 Rep. Prog. Phys. 69, 2631.CrossRefGoogle Scholar
[24]Marklund, M. and Shukla, P. K. 2006 Rev. Mod. Phys. 78, 591.Google Scholar
[25]Salamin, Y. I., Hu, S. X., Hatsagortsyan, K. Z. and Keitel, C. H. 2006 Phys. Rep. 427, 41.Google Scholar
[26]Glenzer, S. H. et al. 2007 Phys. Rev. Lett. 98, 065002.Google Scholar
[27]Gardner, C. L. and Ringhofer, C. 1996 Phys. Rev. E 53, 157.Google Scholar
[28]Bittencourt, J. A. 1986 Fundamentals of Plasma Physics. New York: Pergamon.Google Scholar
[29]Bharuthram, R., Saleem, H. and Shukla, P. K. 1992 Phys. Scr. 45, 512.Google Scholar
Shukla, P. K. and Rao, N. N. 1996 Phys. Plasmas 3, 1770.Google Scholar
Birk, G. T., Kopp, A. and Shukla, P. K. 1996 Phys. Plasmas 3, 3564.CrossRefGoogle Scholar
Mamun, A. A. and Shukla, P. K. 2001 Phys. Lett. A 290, 173.Google Scholar
Shukla, P. K. and Mamun, A. A. 2003 New J. Phys. 5, 17.Google Scholar
[30]Stenflo, L. 1991 Phys. Scr. 43, 599.Google Scholar
[31]Stenflo, L. 1987 Phys. Fluids 30, 3297.CrossRefGoogle Scholar
[32]Shukla, P. K., Birk, G. T. and Bingham, R. 1995 Geophys. Res. Lett. 22, 671.CrossRefGoogle Scholar