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Physical principles of the generalized Boltzmann kinetic theory of gases


M.V. Lomonosov Moscow State Academy of Fine Chemical Technology, prosp. Vernadskogo 86, Moscow, 117571, Russian Federation

This paper addresses the fundamental principles of generalized Boltzmann physical kinetics, which introduces terms accounting for the variation of the distribution function over times of the order of the collision time into the Boltzmann equation. The paper is primarily aimed at clarifying the qualitative aspects of the theory whose mathematical formalism was developed in the author’s earlier work. There is a detailed discussion of how the generalized Boltzmann equation obtained by the multiscale method relates to other alternative approaches used in the development of kinetic equations. The application of the generalized Boltzmann equation to certain classical transport processes is discussed.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 05.20.Dd, 51.10.+y (all)
DOI: 10.1070/PU2000v043n06ABEH000694
URL: https://ufn.ru/en/articles/2000/6/d/
Citation: Alekseev B V "Physical principles of the generalized Boltzmann kinetic theory of gases" Phys. Usp. 43 601–629 (2000)
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Оригинал: Алексеев Б В «Физические основы обобщенной больцмановской кинетической теории газов» УФН 170 649–679 (2000); DOI: 10.3367/UFNr.0170.200006d.0649

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