Abstract
A new representation for distribution functions of the grand canonical ensemble by the Poisson measure functional integral is obtained. Due to the ultralocal nature of the measure, the construction of the cluster expansion is very simple. For the convergence of the cluster expansion, the requirement of exponential decay of the interaction potential is not necessary.
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Communicated by Ya. G. Sinai
Research partially supported by Ukrainian State Committee of Science and Technology
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Rebenko, A.L. Poisson measure representation and cluster expansion in classical statistical mechanics. Commun.Math. Phys. 151, 427–435 (1993). https://doi.org/10.1007/BF02096775
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DOI: https://doi.org/10.1007/BF02096775