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

摘要

The composition-independent virial coefficients of a $d$-dimensional binarymixture of (additive) hard hyperspheres following from a recent proposal forthe equation of state of the mixture [Santos, A., Yuste, S. B., and L\'opez deHaro, M., 1999, Molec. Phys., 96, 1] are examined. Good agreement betweentheoretical estimates and available exact or numerical results is found for$d=2$, 3, 4 and 5, except for mixtures whose components are very disparate insize. A slight modification that remedies this deficiency is introduced and theresummation of the associated virial series is carried out, leading to a newproposal for the equation of state. The case of binary hard-sphere mixtures($d=3$) is analyzed in some detail.