The Analyticity Region of the Hard Sphere Gas. Improved Bounds
The Analyticity Region of the Hard Sphere Gas. Improved Bounds
复制标题
硬球气体的解析度区域。
DOI：
10.1007/s10955-007-9352-7
复制
发表时间：
2007
影响因子：
1.6
通讯作者：
B. Scoppola
中科院分区：
文献类型：
--
作者：
R. Fernández;A. Procacci;B. Scoppola
抽象的
我们发现，在D维度中，硬球气体压力的分析性半径的估计值得到了改善。估计值取决于可以计算数值的多维区域的体积。例如，对于d = 2，我们的估计值比经典大约40％。
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.