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

共 44 条

[1] PHASE TRANSITION IN ELASTIC DISKS [J].

ALDER, BJ ;

WAINWRIGHT, TE .

PHYSICAL REVIEW, 1962, 127 (02) :359-&

[2] PHASE TRANSITION FOR A HARD SPHERE SYSTEM [J].

ALDER, BJ ;

WAINWRIGHT, TE .

JOURNAL OF CHEMICAL PHYSICS, 1957, 27 (05) :1208-1209

[3] ON THE STABILITY OF THE INFINITE DIMENSIONAL FLUID OF HARD HYPERSPHERES - A STATISTICAL MECHANICAL ESTIMATE OF THE DENSITY OF CLOSEST PACKING OF SIMPLE HYPERCUBIC LATTICES IN SPACES OF LARGE DIMENSIONALITY [J].

BAGCHI, B ;

RICE, SA .

JOURNAL OF CHEMICAL PHYSICS, 1988, 88 (02) :1177-1184

[4]

Baker Jr G. A., 1996, PADE APPROXIMANTS

[5]

Bevington P.R., 1969, DATA REDUCTION ERROR

[6] The equation of state of hard hyperspheres in four and five dimensions [J].

Bishop, M ;

Whitlock, PA .

JOURNAL OF CHEMICAL PHYSICS, 2005, 123 (01)

[7] Equation of state of hard and Weeks-Chandler-Anderson hyperspheres in four and five dimensions [J].

Bishop, M ;

Masters, A ;

Clarke, JHR .

JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (23) :11449-11453

[8] The eighth virial coefficient of four- and five-dimensional hard hyperspheres [J].

Bishop, M ;

Masters, A ;

Vlasov, AY .

JOURNAL OF CHEMICAL PHYSICS, 2005, 122 (15)

[9] Higher virial coefficients of four and five dimensional hard hyperspheres [J].

Bishop, M ;

Masters, A ;

Vlasov, AY .

JOURNAL OF CHEMICAL PHYSICS, 2004, 121 (14) :6884-6886

[10] Monte Carlo simulation of hard hyperspheres in six, seven and eight dimensions for low to moderate densities [J].

Bishop, Marvin ;

Whitlock, Paula A. .

JOURNAL OF STATISTICAL PHYSICS, 2007, 126 (02) :299-314

← 1 2 3 4 5 →