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The Convergence of Cluster Expansion for Continuous Systems with Many-Body Interaction

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Abstract

The existence of a unique thermodynamic state for dilute classical systems is proved for a class of multi-particle potentials under ordinary assumptions of stability and integrability. Thus we do not use the cumbersome conditions of regularity needed in previous publications for the many-body analysis. The method relies on the Poisson measure representation and cluster expansion for distribution functions.

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Authors and Affiliations

  1. Institute for Mathematics, Ukrainian National Science Academy, 3 Tereshchenkivs'ka Street, 252601, Kyiv, Ukraine

    A. L. Rebenko & G. V. Shchepan'uk

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  1. A. L. Rebenko
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  2. G. V. Shchepan'uk
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Rebenko, A.L., Shchepan'uk, G.V. The Convergence of Cluster Expansion for Continuous Systems with Many-Body Interaction. Journal of Statistical Physics 88, 665–689 (1997). https://doi.org/10.1023/B:JOSS.0000015167.07226.2e

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  • DOI: https://doi.org/10.1023/B:JOSS.0000015167.07226.2e

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