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

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.

22 pages, including 12 figures

References in corpus (2)

• Equation of state of a multicomponent d-dimensional hard-sphere fluid
• An equation of state {\em à la} Carnahan-Starling for a five-dimensional fluid of hard hyperspheres

Cited by in corpus (15)

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• Virial series for fluids of hard hyperspheres in odd dimensions
• Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
• Multicomponent fluids of hard hyperspheres in odd dimensions
• Demixing can occur in binary hard-sphere mixtures with negative non-additivity
• Density functional for hard hyperspheres from a tensorial-diagrammatic series
• Chemical potential of a test hard sphere of variable size in hard-sphere fluid mixtures
• Comment on "Theory and computer simulation for the equation of state of additive hard-disk fluid mixtures"
• Equation of state of additive hard-disk fluid mixtures: A critical analysis of two recent proposals
• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
• Fourth virial coefficients of asymmetric nonadditive hard-disc mixtures
• A new statistical mechanical formalism for gases
• Equation of state for five-dimensional hyperspheres from the chemical-potential route