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

2001/01/31 by A. Santos, S. B. Yuste, M. López de Haro
Physics and Astronomy · #cond-mat.stat-mech #physics.chem-ph

paper · pdf · doi:10.1080/00268970110063890

published as Mol. Phys. 99, 1959-1972 (2001) · 22 pages, including 12 figures

arxiv created 2001/05/09 · arxiv updated 2009/11/30

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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