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Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 128-134
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Kinetic equations of classical statistical mechanics in the approximation of weak interparticle interaction are derived in the framework of Zubarev's nonequilibrium statistical operator method. For systems of charged particles in a strong inhomogeneous variable external field, Silin's collision integral is obtained and, as a special case when the effect of the external fields on the particle collision process can be ignored, Landau's collision integral. 
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R. Kh. Amirov; S. A. Smolyanskii; L. Sh. Shekhter. Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 128-134. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a13/

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, OGIZ, 1946 | MR

[2] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Nauka», 1971

[3] Yu. L. Klimontovich, Statisticheskaya teoriya neravnovesnykh protsessov v plazme, Izd. MGU, 1964 | MR

[4] A. G. Bashkirov, D. N. Zubarev, TMF, 1 (1969), 407

[5] D. N. Zubarev, V. P. Kalashnikov, TMF, 3 (1970), 126 | MR

[6] D. N. Zubarev, TMF, 3 (1970), 276 | MR

[7] D. N. Zubarev, V. P. Kalashnikov, TMF, 5 (1970), 406 | MR

[8] S. N. Peletminskii, A. A. Yatsenko, ZhETF, 53 (1967), 1327

[9] V. P. Silin, Vvedenie v kineticheskuyu teoriyu gazov, «Nauka», 1971