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

A. Santos·S. B. Yuste·M. López de Haro
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Abstract

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 López 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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A. Santos, S. B. Yuste, M. López de Haro. 2001-05-09. Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres. https://doi.org/10.1080/00268970110063890

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