A Short Proof of the Reducibility of Hard-Particle Cluster Integrals

Abstract

The current article considers Mayer cluster integrals of n-dimensional hard particles in the n>1 dimensional flat Euclidean space. Extending results from Wertheim and Rosenfeld, we proof that the graphs are completely reducible into 1- and 2-point measures, with algebraic rules similar to Feynman diagrams in quantum field theory. The hard-particle partition function reduces then to a perturbative solvable problem.

4 pages, 1 figure, revtex4-1

Cited by in corpus (1)

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