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

Abstract

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. López 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.

18 pages, 12 figures; minor changes; to be published in JCP

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• Depletion forces near a soft surface
• Molecular dynamics and theory for the contact values of the radial distribution functions of hard-disk fluid mixtures
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• Equation of state of polydisperse hard-disk mixtures in the high-density regime
• Non-additivity of pair interactions in charged colloids
• Virial coefficients, thermodynamic properties, and fluid-fluid transition of nonadditive hard-sphere mixtures
• Population inversion of a NAHS mixture adsorbed into a cylindrical pore
• Nonadditive hard-sphere fluid mixtures: A simple analytical theory
• Virial coefficients and demixing of athermal nonadditive mixtures
• Virial coefficients and demixing in the Asakura-Oosawa model
• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
• Effect of particle exchange on the glass transition of binary hard spheres
• Density functional for ternary non-additive hard sphere mixtures
• Fourth virial coefficients of asymmetric nonadditive hard-disc mixtures
• Virial coefficients, equation of state, and demixing of binary asymmetric nonadditive hard-disk mixtures
• Theory of Viscosity of Confined Fluids in Small / Nano Systems (Theory of Interfacial Viscosity)