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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 30, Number 3, Pages 353–360 (Mi tmf2806)  
This article is cited in 3 scientific papers (total in 3 papers)

Cluster property in a classical canonical ensemble

Yu. G. Pogorelov
Full-text PDF (776 kB) Citations (3)
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Abstract: Correlation functions of canonical ensemble of classical particles are investigated by the method of operator equations in the Banach space. The proof of the cluster property is given for sufficiently small values of the density of particles. Sufficient conditions on potential of the interaction are found. The estimation of the rate of vanishing of correlations is performed for some specific potentials. The results are compared with those for the grand canonical ensemble.
Received: 04.05.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 30, Issue 3, Pages 227–232
DOI: https://doi.org/10.1007/BF01036715
Bibliographic databases:
Language: Russian
Citation: Yu. G. Pogorelov, “Cluster property in a classical canonical ensemble”, TMF, 30:3 (1977), 353–360; Theoret. and Math. Phys., 30:3 (1977), 227–232
Citation in format AMSBIB
\Bibitem{Pog77}
\by Yu.~G.~Pogorelov
\paper Cluster property in a~classical canonical ensemble
\jour TMF
\yr 1977
\vol 30
\issue 3
\pages 353--360
\mathnet{http://mi.mathnet.ru/tmf2806}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=503351}
\zmath{https://zbmath.org/?q=an:0349.60059|0413.60092}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 3
\pages 227--232
\crossref{https://doi.org/10.1007/BF01036715}
Linking options:
  • https://www.mathnet.ru/eng/tmf2806
  • https://www.mathnet.ru/eng/tmf/v30/i3/p353
    • This publication is cited in the following 3 articles:
    1. Yu. Pogorelov, A. Rebenko, “On Virial Expansions of Correlation Functions. Canonical Ensemble”, Ukr Math J, 75:5 (2023), 744  crossref
    2. Yu. Pogorelov, A. Rebenko, “Pro vіrіalnі rozkladi korelyatsіinikh funktsіi. Kanonіchnii ansambl”, Ukr. Mat. Zhurn., 75:5 (2023), 650  crossref
    3. H. Moraal, “On the product property of the distribution functions in classical statistical mechanics”, Physica A: Statistical Mechanics and its Applications, 105:1-2 (1981), 303  crossref
    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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    Abstract page:295
    Full-text PDF :124
    References:58
    First page:1
     
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