The analyticity region of the hard sphere gas. Improved bounds

Abstract

We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in $d$ dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For $d=2$, for instance, our estimate is about 40% larger than the classical one.

4 pages, to appear in Journal of Statistical Physics

Cited by in corpus (10)

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• On Lennard-Jones type potentials and hard-core potentials with an attractive tail
• An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
• The Mayer series of the Lennard-Jones gas: improved bounds for the convergence radius
• Strong spatial mixing for repulsive point processes
• Cluster expansions: Necessary and sufficient convergence conditions
• Analyticity for locally stable hard-core gases via recursion