Integral equation study of additive two-component mixtures of hard spheres

Abstract

The Ornstein-Zernike equation for additive hard sphere mixtures is solved numerically by using the Martynov- Sarkisov (MS) closure and a recent modification of the Verlet (MV) closure. A comparison of the predictions for the equation of state and, to a lesser extent, the contact values of the radial distribution function, shows both theories to give similar, reasonably accurate, results in most situations. However, an examination of the pair cavity functions for zero separation shows the two closures to give quite different results, and the MV closure results are believed to be better. More attention should be given to the cavity function at zero separation. In addition, the MV closure satisfies known asymptotic relations for a small concentration of exceedingly large spheres, whereas the MS and Percus-Yevick closures do not satisfy these relations.