Analytical expressions for the fourth virial coefficient of a hard-sphere mixture

被引：14
作者：
Labik, Stanislav [1 ]
Kolafa, Jiri [1 ]
机构：
[1] Inst Chem Technol, Dept Phys Chem, CR-16628 Prague 6, Czech Republic
来源：
PHYSICAL REVIEW E | 2009年 / 80卷 / 05期
关键词：
equations of state; MONTE-CARLO; CONVEX-BODIES; 5TH;
D O I：
10.1103/PhysRevE.80.051122
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A method of numerical calculation of the fourth virial coefficients of the mixture of additive hard spheres is proposed. The results are compared with an exact analytical formula for the fourth partial virial coefficient B-4([1]) (i.e., three spheres of diameters sigma(1) and one sphere of diameter sigma(2)) and a semiempirical expression for B-4([2]) (i.e., two spheres of each kind). It is shown that the first formula is nonanalytic and the implication to the equations of state for hard-sphere mixtures is discussed.
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页数：8
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