Correlation of clusters: Partially truncated correlation functions and their decay

Abstract

In this article, we investigate partially truncated correlation functions (PTCF) of infinite continuous systems of classical point particles with pair interaction. We derive Kirkwood-Salsburg-type equations for the PTCF and write the solutions of these equations as a sum of contributions labelled by certain forests graphs, the connected components of which are tree graphs. We generalize the method introduced by R.A. Minlos and S.K. Poghosyan (1977) in the case of truncated correlations. These solutions make it possible to derive strong cluster properties for PTCF which were obtained earlier for lattice spin systems.

31 pages, 2 figures. 2nd revision. Misprints corrected and 1 figure added

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• Cluster expansion for abstract polymer models. New bounds from an old approach
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Cited by in corpus (2)

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