The analyticity region of the hard sphere gas. Improved bounds

Details The analyticity region of the hard sphere gas. Improved bounds The analyticity region of the hard sphere gas. Improved bounds

2007-05-11

arxiv.org/abs/0705.1658v1

Physics

Mathematical Physics

4 pages, to appear in Journal of Statistical Physics

Scientific paper

10.1007/s10955-007-9352-7

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.

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