The equation of state of hard hyperspheres in nine dimensions for low to moderate densities

被引：16

作者：

Bishop, Marvin ^{[1
]}

Clisby, Nathan ^{[2
]}

Whitlock, Paula A. ^{[3
]}

机构：

[1] Manhattan Coll, Dept Math Comp Sci, Riverdale, NY 10471 USA

[2] Univ Melbourne, ARC Ctr Excellence Math & Stat Complex Syst, Parkville, Vic 3010, Australia

[3] CUNY Brooklyn Coll, Dept Comp & Informat Sci, Brooklyn, NY 11210 USA

来源：

JOURNAL OF CHEMICAL PHYSICS | 2008年 / 128卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1063/1.2821962

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The equation of state of hard hyperspheres in nine dimensions is calculated both from the values of the first ten virial coefficients and from a Monte Carlo simulation of the pair correlation function at contact. The results are in excellent agreement. In addition, we find that the virial series appears to be dominated by an unphysical singularity or singularities on or near the negative density axis, in qualitative agreement with the recently solved Percus-Yevick equation of state in nine dimensions. (C) 2008 American Institute of Physics.

引用

页数：4

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