The analyticity region of the hard sphere gas. Improved bounds
arXiv:0705.1658 · doi:10.1007/s10955-007-9352-7
Abstract
We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For , for instance, our estimate is about 40% larger than the classical one.
4 pages, to appear in Journal of Statistical Physics