Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres

Details Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres

2001-01-08

arxiv.org/abs/cond-mat/0101098v2

Mol. Phys. 99, 1959-1972 (2001)

Physics

Condensed Matter

Statistical Mechanics

22 pages, including 12 figures

Scientific paper

10.1080/00268970110063890

The composition-independent virial coefficients of a $d$-dimensional binary mixture of (additive) hard hyperspheres following from a recent proposal for the equation of state of the mixture [Santos, A., Yuste, S. B., and L\'opez de Haro, M., 1999, Molec. Phys., 96, 1] are examined. Good agreement between theoretical estimates and available exact or numerical results is found for $d=2$, 3, 4 and 5, except for mixtures whose components are very disparate in size. A slight modification that remedies this deficiency is introduced and the resummation of the associated virial series is carried out, leading to a new proposal for the equation of state. The case of binary hard-sphere mixtures ($d=3$) is analyzed in some detail.

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