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Teoreticheskaya i Matematicheskaya Fizika, 1969, Volume 1, Number 2, Pages 251–274 (Mi tmf4568)  
This article is cited in 53 scientific papers (total in 53 papers)

Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism

N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset
Full-text PDF (1951 kB) Citations (53)
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Abstract: This paper gives a rigorous mathematical description of the equilibrium state of the infinite system of particles on the basis of canonical ensemble theory. A proof is given of the existence and uniqueness of the limiting distribution functions and their analytical dependence on density. Results have been obtained by using methods developed by two of the authors in 1949, and based on the application of the theory of Banaeh spaces to the study of the equation forthe distribution functions.
Received: 26.03.1969
English version:
Theoretical and Mathematical Physics, 1969, Volume 1, Issue 2, Pages 194–212
DOI: https://doi.org/10.1007/BF01028046
Bibliographic databases:
Language: Russian
Citation: N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, “Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism”, TMF, 1:2 (1969), 251–274; Theoret. and Math. Phys., 1:2 (1969), 194–212
Citation in format AMSBIB
\Bibitem{BogPetKha69}
\by N.~N.~Bogolyubov, D.~Ya.~Petrina, B.~I.~Khatset
\paper Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism
\jour TMF
\yr 1969
\vol 1
\issue 2
\pages 251--274
\mathnet{http://mi.mathnet.ru/tmf4568}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=459460}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 2
\pages 194--212
\crossref{https://doi.org/10.1007/BF01028046}
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  • https://www.mathnet.ru/eng/tmf4568
  • https://www.mathnet.ru/eng/tmf/v1/i2/p251
    Remarks
    This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :360
    References:78
    First page:3
     
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