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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 388–400
DOI: https://doi.org/10.4213/tmf164 (Mi tmf164) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Weak Convergence of Solutions of the Liouville Equation for Nonlinear Hamiltonian Systems

V. V. Kozlov, D. V. Treschev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (262 kB) Citations (34)
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DOI: https://doi.org/10.4213/tmf164
Abstract: We suggest sufficient conditions for the existence of weak limits of solutions of the Liouville equation as time increases indefinitely. The presence of the weak limit of the probability distribution density leads to a new interpretation of the second law of thermodynamics for entropy increase.
Keywords: Hamiltonian system, Liouville equation, weak convergence, entropy.
Received: 05.07.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 339–350
DOI: https://doi.org/10.1023/A:1022697321418
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kozlov, D. V. Treschev, “Weak Convergence of Solutions of the Liouville Equation for Nonlinear Hamiltonian Systems”, TMF, 134:3 (2003), 388–400; Theoret. and Math. Phys., 134:3 (2003), 339–350
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v134/i3/p388
    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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