Abstract
The BBGKY hierarchy of equations for a system of relativistic charged particles is derived. The electromagnetic field is included in the dynamical system by decomposing the transverse part of the field of each particle into oscillators. Self-consistent field equations are obtained for the relativistic plasma, and an expression is also obtained for the correlation function which leads to the Belyaev-Budker collision integral.
Similar content being viewed by others
Literature cited
N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (ed. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).
A. A. Vlasov, Zh. Eksp. Teor. Fiz.,8, 291 (1938).
L. D. Landau, Zh. Eksp. Teor. Fiz.,7, 203 (1937).
R. Balescu, Phys. Fluids,3, 52 (1960).
A. Lenard, Ann. Phys.,3, 90 (1960).
S. T. Belyaev and G. I. Budker, Dokl. Akad. Nauk SSSR,107, 807 (1956).
Yu. L. Klimontovich, Zh. Eksp. Teor. Fiz.,37, 735 (1959);38, 1212 (1960).
V. P. Silin, Zh. Eksp. Teor. Fiz.,40, 1768 (1961).
W. Heitler, The Quantum Theory of Radiation, Oxford (1954).
A. A. Sokolov and I. M. Ternov, The Relativistic Electron [in Russian], Nauka, Moscow (1974).
R. L. Liboff, Introduction to the Theory of Kinetic Equations, New York (1969).
A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).
K. P. Gurov, Fundamentals of Kinetic Theory [in Russian], Nauka, Moscow (1966).
V. P. Silin, Introduction to the Kinetic Theory of Gases [in Russian], Nauka, Moscow (1971).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon Press, Oxford (1975).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 78–82, March, 1981.
Rights and permissions
About this article
Cite this article
Naumov, N.D. Kinetic theory of a relativistic plasma. Soviet Physics Journal 24, 270–274 (1981). https://doi.org/10.1007/BF00891606
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00891606