Nonexistence of Solidlike Solutions to the Mean-Spherical-Model Equations

Abstract

We consider the mean-spherical-model (MSM) equation for systems composed of radially symmetric particles. It is shown that for all densities less than close packing no physically satisfactory solidlike (i.e., nonradial) solutions exist to the MSM equation. The Percus-Yevick equation for hard-core particles (i.e., hard disks in two dimensions and hard spheres in three dimensions) is a special case of the MSM equation.