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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.

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Fulltext is also available at DOI: 10.1070/PU2000v043n06ABEH000694
PACS: 05.20.Dd, 51.10.+y (all)
DOI: 10.1070/PU2000v043n06ABEH000694
URL: https://ufn.ru/en/articles/2000/6/d/
000165057200004
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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  1. Arakelian M, Kobelev A 2024 6th International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE), (2024) p. 1
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  3. Zhao B, Wang J, Wang Ju Chemical Engineering Science 172 297 (2017)
  4. Abramov G V, Gavrilov A N et al Nanotechnol Russia 12 139 (2017)
  5. Alexeev B V Nonlocal Astrophysics (2017) p. 97
  6. Alexeev B V Nonlocal Astrophysics (2017) p. xi
  7. Alexeev B V Unified Non-Local Relativistic Theory of Transport Processes (2016) p. 95
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  10. Alexeev B V JMP 04 26 (2013)
  11. Uchaikin V V Uspekhi Fizicheskikh Nauk 183 1175 (2013) [Uchaikin V V Phys.-Usp. 56 1074 (2013)]
  12. Alexeev B V JMP 04 42 (2013)
  13. Alexeev B V JMP 03 1103 (2012)
  14. Alexeev B V JMP 03 1895 (2012)
  15. Fedoseyev A I, Alexeev B V Procedia Computer Science 1 665 (2010)
  16. Zlotnik A A, Chetverushkin B N Comput. Math. And Math. Phys. 48 420 (2008)
  17. Bendib A, Bendib-Kalache K et al Phys. Rev. E 74 (4) (2006)
  18. Vereshchagin D A, Leble S B, Solovchuk M A Physics Letters A 348 326 (2006)
  19. Zlotnik A A Dokl. Math. 73 302 (2006)
  20. Vereshchagin D A, Leble S B Journal Of Atmospheric And Solar-Terrestrial Physics 68 1321 (2006)
  21. Alekseev B V, Dubinov A E, Dubinova I D High Temp 43 479 (2005)
  22. Generalized Boltzmann Physical Kinetics (2004) p. 361
  23. Alexeev B V Computational Fluid and Solid Mechanics 2003 (2003) p. 1225
  24. Alekseev B V Uspekhi Fizicheskikh Nauk 173 145 (2003)
  25. Sinkevich O A, Semenov A M Tech. Phys. 48 1221 (2003)
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