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The analyticity region of the hard sphere gas. Improved bounds. (English) Zbl 1206.82099
Summary: 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.

MSC:
82D05 Statistical mechanics of gases
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