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arxiv: cond-mat/0409430 · v2 · submitted 2004-09-16 · ❄️ cond-mat.soft · cond-mat.stat-mech· physics.chem-ph

Equation of state of non-additive d-dimensional hard-sphere mixtures

classification ❄️ cond-mat.soft cond-mat.stat-mechphysics.chem-ph
keywords equationstatecoefficientscompressibilityexactfactorhardmixtures
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An equation of state for a multicomponent mixture of non-additive hard spheres in $d$ dimensions is proposed. It yields a rather simple density dependence and constitutes a natural extension of the equation of state for additive hard spheres proposed by us [A. Santos, S. B. Yuste, and M. L\'opez de Haro, Mol. Phys. 96, 1 (1999)]. The proposal relies on the known exact second and third virial coefficients and requires as input the compressibility factor of the one-component system. A comparison is carried out both to another recent theoretical proposal based on a similar philosophy and to the available exact results and simulation data in $d=1$, 2, and 3. Good general agreement with the reported values of the virial coefficients and of the compressibility factor of binary mixtures is observed, especially for high asymmetries and/or positive nonadditivities.

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