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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 30, Number 3, Pages 353–360
(Mi tmf2806)
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This article is cited in 3 scientific papers (total in 3 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf2806 https://www.mathnet.ru/eng/tmf/v30/i3/p353
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