Exact solution of the mean spherical model for charged hard spheres in a uniform neutralizing background

Abstract

The exact solution of the mean spherical model integral equation is found for a system of charged hard spheres in a uniform neutralizing background. This may be considered as a simple example of a fluid with nonadditive hard sphere diameters. Analytic expressions are given for the direct correlation function and for the Laplace transform of the radial distribution function. These, and the thermodynamic properties of the system, are compared with previous solutions of the mean spherical model.