Monte Carlo Equation of State for a Mixture of Hard Spheres

Abstract

The equation of state for an equimolar binary mixture of hard spheres has been calculated by the Monte Carlo method for the case where the ratio of diameters is 1.1 to 1. The contact values of the three radial distribution functions are compared with those obtained from the solution of the Percus—Yevick equation as well as with an approximation obtained from scaled particle theory and are found to be in good agreement for densities below the phase transition. The density at which the phase transition occurs is about the same as the corresponding density for the one-component system. At higher densities the contact value of the radial distribution function between pairs of small spheres remains essentially constant.