Universality of the cluster integrals of repulsive systems

Abstract
We provide evidence for the universal behavior of the exponent characterizing the singularity of the Mayer fugacity series for the pressure of a fluid. As long as the two-body potential is positive but otherwise unrestricted, this exponent appears to be independent of the form of the potential and it is a monotonic, slowly increasing function, φ(D), of the dimensionality D of the system. A limited version of universality has previously been proposed by Poland [J. Stat. Phys. 35, 341 (1984)], restricted to hard, approximately spherical particles. Our results for φ(D) differ somewhat from those of Poland.

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