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Cluster expansion for fluids with long-range interactions

T.F. Meister and B.U. Felderhof

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 1, 145-160

Abstract: We apply Kac's method of functional integration to a spatially non-uniform fluid with short and long-range interactions. The system with short-range interactions is treated as a reference system to which the long-range pair interaction is added as a perturbation. All equilibrium distribution functions of the reference system are assumed known. We show by diagram analysis that by a suitable choice of the density profile of the reference system the thermodynamic potential can be expressed in terms of a cluster expansion containing only irreducible diagrams. For a spatially uniform fluid in the thermodynamic limit our results reduce to those obtained by Siegert et al.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:1:p:145-160

DOI: 10.1016/0378-4371(80)90066-7

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