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Proton-temperature-anisotropy-driven magnetic fields in plasmas with cold and relativistically hot electrons

Published online by Cambridge University Press:  08 October 2009

NITIN SHUKLA
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany (nitshukla@yahoo.com, ps@tp4.rub.de)
P. K. SHUKLA
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany (nitshukla@yahoo.com, ps@tp4.rub.de) School of Physics, University of KwaZulu-Natal, Durban 4000, South Africa
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Abstract

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We present a dispersion relation for a plane-polarized electromagnetic wave in plasmas composed of cold electrons, relativistically hot electrons and bi-Maxwellian protons. It is shown that the free energy in proton-temperature anisotropy drives purely growing electromagnetic modes in our three-component plasma. Expressions for the growth rates and thresholds of instabilities are presented. The present results are relevant for explaining the origin of spontaneously generated magnetic fields in laboratory and astrophysical plasmas.

Type
Letter to the Editor
Copyright
Copyright © Cambridge University Press 2009

References

[1]Weibel, E. S. 1959 Phys. Rev. Lett. 2, 83.CrossRefGoogle Scholar
[2]Fried, B. D. 1959 Phys. Fluids 2, 337.CrossRefGoogle Scholar
[3]Bychenkov, V. Yu., Silin, V. P. and Tikhonchuk, V. T. 1989 Sov. J. Plasma Phys. 15, 407; 1989 Phys. Lett. A 138, 127.Google Scholar
[4]Basu, B. 2002 Phys. Plasmas 9, 5131.CrossRefGoogle Scholar
[5]Estabrook, K. 1978 Phys. Rev. Lett. 41, 1808; Honda, M. 2004 Phys. Rev. E 69, 06 401; Romanov, D. V., Bychenkov, V. Yu., Rozmus, W., Capjack, C. E. and Fedosejevs, R. 2004 Phys. Rev. Lett. 93, 215004.CrossRefGoogle Scholar
[6]Tatarakis, M. et al. 2002 Nature (London) 415, 280; Wagner, U. et al. 2004 Phys. Rev. E 70, 026 401.CrossRefGoogle Scholar
[7]Silva, L. O. et al. 2002 Phys. Plasmas 9, 2458; Tschentscher, T. 2001 Proc. SPIE Int. Soc. Opt. Eng. 4500, 1; Eliezer, S., Mendonça, J. T., Bingham, R. and Norreys, P. 2005 Phys. Lett. A 336, 390; Marklund, M. and Shukla, P. K. 2006 Rev. Mod. Phys. 78, 591.CrossRefGoogle Scholar
[8]Nilson, P. M., Willingale, L., Kaluza, M. C. et al. 2006 Phys. Rev. Lett. 97, 255 001.CrossRefGoogle Scholar
[9]Medvedev, M. V. and Loeb, A. 1999 Astrophys. J. 526, 697; Gruzinov, A. 2001 Astrophys. J. 563, L15.CrossRefGoogle Scholar
[10]Schlickeiser, R. and Shukla, P. K. 2003 Astrophys. J. 563, L57; Medvedev, M. V., Silva, L. O. and Kamionkowaski, M. 2006 Astrphys. J. 642, L1.CrossRefGoogle Scholar
[11]Widrow, L. M. 2002 Rev. Mod. Phys. 74, 775; Kronberg, P. P. 2002 Phys. Today 55, 40; 2003 Phys. Plasmas 10, 1985.CrossRefGoogle Scholar
[12]Carilli, C. L. and Taylor, G. B. 2002 Annu. Rev. Astron. Astrophys. 40, 319.CrossRefGoogle Scholar
[13]Yoon, P. H. and Davidson, R. C. 1987 Phys. Rev. A 35, 2718; Schlickeiser, R. 2004 Phys. Plasmas 11, 5532.CrossRefGoogle Scholar
[14]Yoon, P. H. 2007 Phys. Plasmas 14, 024504.CrossRefGoogle Scholar
[15]Fonseca, R. A., Silva, L. O., Tange, J. W. et al. 2003 Phys. Plasmas 10, 1979; Silva, L. O., Fonseca, R. A., Tange, J. W. et al. 2003 Astrophys. J. 596, L121; Fiore, M., Silva, L. O., Ren, C. et al. 2006 Mon. Not. R. Astron. Soc. 372, 1851.CrossRefGoogle Scholar
[16]Honda, M. and Honda, Y. S. 2004 Astrophys. J. 617, L37.CrossRefGoogle Scholar
[17]Novak, G., Chuss, D. T., Renbarger, T. et al. 2003 Astrophys. J. 583, L83.CrossRefGoogle Scholar
[18]Yusuf-Zadeh, F., Morris, M. and Chance, D. 1984 Nature (London) 337, 310; Yusuf-Zadeh, F. and Morris, M. 1987 Astrophys. J. 322, 721.Google Scholar
[19]Ren, C., Tzoufras, M., Tsung, F. S. et al. 2004 Phys. Rev. Lett. 93, 185004.CrossRefGoogle Scholar
[20]Krushelnick, K., Rozmus, W., Wagner, U. et al. 2008 Phys. Rev. Lett. 100, 125 005.CrossRefGoogle Scholar
[21]Silin, V. P. 1960 Sov. Phys. JETP 11, 1136.Google Scholar
[22]Ren, C., Blackman, E. G. and Fong, W. 2007 Phys. Plasmas 14, 012901.CrossRefGoogle Scholar
[23]Shukla, P. K. 2007 Phys. Lett. A 372, 316.CrossRefGoogle Scholar
[24]Fried, B. D. and Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic.Google Scholar
[25]Mart'yanov, V. Yu., Kocharovsky, V. V. and Kocharovsky, VI. V. 2008 JETP 107, 1049.CrossRefGoogle Scholar