Theoretical and Mathematical Physics

, Volume 97, Issue 1, pp 1126–1136 | Cite as

On the statistical theory of a nonequilibrium plasma in its electromagnetic self-field

  • M. V. Tokarchuk
Article
Received:

Abstract

Zubarev's nonequilibrium statistical operator method is used to give a statistical description of a nonequilibrium plasma in its electromagnetic self-field. Generalized transport equations are obtained for the charged particles and the oscillators of the electromagnetic field with allowance made for the local conservation laws. The case of a nonequilibrium plasma is considered.

Keywords

Charged Particle Electromagnetic Field Statistical Theory Transport Equation Generalize Transport 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Yu. L. Klimontovich,Statistical Theory of Nonequilibrium Processes in Plasmas [in Russian], State University, Moscow (1964).Google Scholar
  2. 2.
    Yu. L. Klimontovich,Kinetic Theory of Nonideal Gases and Plasmas [in Russian], Nauka, Moscow (1975).Google Scholar
  3. 3.
    Yu. L. Klimontovich,Kinetic Theory of Electromagnetic Processes [in Russian], Nauka, Moscow (1980).Google Scholar
  4. 4.
    Yu. L. Klimontovich, Kh. Vil'mgel'son, A. G. Zagorodnii, and I. P. Yakumenko,Statistical Theory of Bounded Plasma—Molecular Systems [in Russian], Moscow State University, Moscow (1990).Google Scholar
  5. 5.
    A. G. Sitenko,Fluctuations and Nonlinear Interaction of Waves in a Plasma [in Russian], Naukova Dumka, Kiev (1977).Google Scholar
  6. 6.
    A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, A. G. Sitenko, and K. N. Stepanov,Plasma Electrodynamics [in Russian], Nauka, Moscow (1974).Google Scholar
  7. 7.
    V. P. Silin and A. A. Rukhadze,Electromagnetic Properties of Plasmas and Similar Media [in Russian], Atomizdat, Moscow (1961).Google Scholar
  8. 8.
    S. R. De Groot and L. G. Suttorp,Foundations of Electrodynamics, North-Holland (1973).Google Scholar
  9. 9.
    N. Krall and A. Trivelpiece,Fundamentals of Plasma Physics [Russian translation], Mir, Moscow (1975).Google Scholar
  10. 10.
    L. M. Kovrizhnykh,Zh. Eksp. Teor. Fiz.,56, 877 (1969).Google Scholar
  11. 11.
    A. A. Galeev and R. Z. Sagdeev, “Neoclassical diffusion theory,” in:Reviews of Plasma Physics, No. 7 [in Russian] (1973), p. 3.Google Scholar
  12. 12.
    L. M. Kovrizhnykh, in:Reviews of Science and Technology. Ser. Plasma Physics, Vol. 3 [in Russian], VINITI, Moscow (1982).Google Scholar
  13. 13.
    A. A. Gurin, L. L. Pasechnik, and A. S. Popovich,Plasma Diffusion in a Magnetic Field [in Russian], Naukova Dumka, Kiev (1979).Google Scholar
  14. 14.
    E. F. Popov,Teor. Mat. Fiz.,76, 450 (1988).Google Scholar
  15. 15.
    E. F. Popov,Teor. Mat. Fiz.,82, 133 (1990).Google Scholar
  16. 16.
    N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in:Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).Google Scholar
  17. 17.
    R. Balescu,Equilibrium and Nonequilibrium Statistical Mechanics, Wiley-Interscience, New York (1975).Google Scholar
  18. 18.
    D. N. Zubarev,Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974).Google Scholar
  19. 19.
    D. N. Zubarev, in:Reviews of Science and Technology. Modern Problems of Mathematics, Vol. 15 [in Russian], VINITI, Moscow (1980), p. 15.Google Scholar
  20. 20.
    D. N. Zubarev and V. G. Morozov,Teor. Mat. Fiz.,60, 270 (1984).Google Scholar
  21. 21.
    D. N. Zubarev, V. G. Morozov, I. P. Omelyan, and M. F. Tokarchuk, “Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids,” Preprint 88-102R [in Russian], Institute of Theoretical Physics, Ukrainian Academy of Sciences, Kiev (1988).Google Scholar
  22. 22.
    D. N. Zubarev, V. G. Morozov, I. P. Omelyan, and M. F. Tokarchuk,Teor. Mat. Fiz.,87, 113 (1991).Google Scholar
  23. 23.
    M. V. Tokarchuk, “On the nonequilibrium statistical theory of a plasma in the electromagnetic self-field. I. Transport equations,” Preprint 91-ZU [in Russian], Institute of the Physics of Condensed Systems, Ukrainian Academy of Sciences, L'vov (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • M. V. Tokarchuk

There are no affiliations available

Personalised recommendations