Abstract
Electromagnetic instability of an unmagnetized homogeneous relativistic plasma with an anisotropic velocity distribution having a center of symmetry is analyzed. A stability criterion is derived for slowly varying long-wavelength perturbations. The criterion is formulated as a set of equalities that are not valid for ellipsoidal velocity distributions, but can be satisfied for other anisotropic distributions. The relativistic case is special only in that the rest mass is replaced with the relativistic one.
Similar content being viewed by others
References
E. S. Weibel, Phys. Rev. Lett. 2, 83 (1959).
H. Saleem, K. Watanabe, and Y. Sato, Phys. Rev. E 62, 1155 (2000).
V. Yu. Bychenkov, W. Rozmus, and C. E. Capjack, Pis’ma Zh. Éksp. Teor. Fiz. 78, 150 (2003) [JETP Lett. 78, 119 (2003)].
R. Davidson, in Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (Energoatomizdat, Moscow, 1983; North-Holland, Amsterdam, 1984), Vol. 1.
A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, A. G. Sitenko, and K. N. Stepanov, Plasma Electrodynamics (Nauka, Moscow, 1974; Pergamon, New York, 1975).
A. A. Vlasov, Zh. Éksp. Teor. Fiz. 8, 291 (1938).
A. B. Mikhaĭlovskiĭ, in Problems of the Plasma Theory (Atomizdat, Moscow, 1972), No. 6 [in Russian].
R. Bellman, Introduction to Matrix Analysis (McGraw-Hill, New York, 1960; Nauka, Moscow, 1969).
S. Heinz and R. Sunyaev, Astron. Astrophys. 390, 751 (2002).
A. S. Baranov, Fiz. Plazmy (Moscow) 29, 956 (2003) [Plasma Phys. Rep. 29, 890 (2003)].
I. S. Gradshteĭn and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Gostekhizdat, Moscow, 1951; Academic, New York, 1980).
A. S. Baranov, Zh. Tekh. Fiz. 75(5), 65 (2005) [Tech. Phys. 50, 595 (2005)].
D. Ya. Martynov, Course of General Astrophysics (Nauka, Moscow, 1979) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.S. Baranov, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 120, No. 3, pp. 581–586.
Rights and permissions
About this article
Cite this article
Baranov, A.S. Criterion for long-wavelength electromagnetic instability of a homogeneous relativistic plasma. J. Exp. Theor. Phys. 102, 509–514 (2006). https://doi.org/10.1134/S1063776106030137
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776106030137