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TMF, 1977, Volume 30, Number 3, Pages 353–360 (Mi tmf2806)  

Cluster property in a classical canonical ensemble

Yu. G. Pogorelov


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.

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English version:
Theoretical and Mathematical Physics, 1977, 30:3, 227–232

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Received: 04.05.1976

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://www.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}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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