The analyticity region of the hard sphere gas. Improved bounds
Mathematical Physics
2009-11-13 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0705.1658,
title = {The analyticity region of the hard sphere gas. Improved bounds},
author = {Roberto Fernandez and Aldo Procacci and Benedetto Scoppola},
journal= {arXiv preprint arXiv:0705.1658},
year = {2009}
}
Comments
4 pages, to appear in Journal of Statistical Physics