Abstract
We investigate the kinetics of the electromagnetic field in a hydrodynamic medium containing charged particles. A closed system of equations of the electromagnetic field and hydrodynamic equations taking into account dissipative processes is constructed. To describe the electromagnetic field, we use its average values and the corresponding binary correlation functions as new independent variables. The reverse influence of the field on the medium is studied. The investigation is based on quasirelativistic quantum electrodynamics in the Hamilton gauge and on the Bogolyubov method of reduced description of nonequilibrium processes.
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REFERENCES
A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics [in Russian], Nauka, Moscow (1977).
V. G. Bar'yakhtar and S. V. Peletminskii, “Kinetic equations for electrons of plasma and photons radiated by them in a strong magnetic field,” Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz., 6, No.6, 1115–1128 (1963).
A. I. Akhiezer and S. V. Peletminskii, “Kinetics of black-body radiation,” Dokl. Akad. Nauk SSSR, 200, 1317–1321 (1971).
S. V. Peletminskii, V. I. Prikhod'ko, and V. S. Shchelokov, “Low-frequency asymptotics of electrodynamic Green functions,” Teor. Mat. Fiz., 25, No.1, 70–79 (1975).
V. G. Morozov, G. Roepke, and A. Hoell, “Kinetic theory of a quantum-electrodynamic plasma in a strong electromagnetic field. I. Covariant formalism,” Teor. Mat. Fiz., 131, No.3, 432–455 (2002).
V. G. Morozov, G. Roepke, and A. Hoell, “Kinetic theory of a quantum-electrodynamic plasma in a strong electromagnetic field. II. Covariant approximation of average field,” Teor. Mat. Fiz., 132, No.1, 161–176 (2002).
O. I. Sokolovs'kyi and A. A. Stupka, “Kinetic theory of electromagnetic processes in an equilibrium medium,” Visn. Dnipropetr. Univ., Fiz. Radioel., Issue 10, 63–70 (2003).
O. I. Sokolovs'kyi and A. A. Stupka, “Kinetic theory of electromagnetic processes in a hydrodynamic medium,” Visn. Dnipropetr. Univ., Fiz. Radioel., Issue 11, 95–107 (2004).
O. I. Sokolovs'kyi and A. A. Stupka, “Modes of electromagnetic field in equilibrium plasma,” Visn. Kharkiv Univ., Ser. Fiz., No. 628, Issue 2(24), 87–92 (2004).
D. Bohm and D. Pines, “A collective description of electron interactions: III. Coulomb interactions in degenerate electron gas,” Phys. Rev., 92, 609–625 (1953).
D. Bohm, General Theory of Collective Coordinates, Wiley, New York (1959).
M. Yu. Kovalevskii, “On the microscopic theory of a charged superfluid liquid,” Fiz. Nizk. Temp., 2, No.11, 1165–1171 (1986).
E. M. Lifshits and L. P. Pitaevskii, Physical Kinetics [in Russian], Nauka, Moscow (1979).
N. N. Bogolyubov, Problems of Dynamical Theory in Statistical Physics [in Russian], Gostekhizdat, Moscow (1946).
O. I. Sokolovs'kyi, “On the problem of kinetics of a Brownian particle in a nonequilibrium liquid,” Ukr. Mat. Zh., 44, No.6, 721–729 (1999).
S. V. Peletminskii and A. I. Sokolovskii, “Operators of flows of physical quantities and method of quasiaverages,” Teor. Mat. Fiz., 18, No.1, 121–129 (1974).
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 6, pp. 852–864, June, 2005.
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Sokolovs'kyi, O.I., Stupka, A.A. Equations of Electrodynamics in a Hydrodynamic Medium with Regard for Nonequilibrium Fluctuations. Ukr Math J 57, 1004–1019 (2005). https://doi.org/10.1007/s11253-005-0244-1
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DOI: https://doi.org/10.1007/s11253-005-0244-1