Comments upon the relations between the mean electrostatic potential and the distribution functions for a single restricted primitive model electrolyte

Abstract

Use is made of the definition of the mean electrostatic potential in terms of the direct correlation functions or radial distribution functions to derive some general results for the single restricted primitive model electrolyte. The implications are considered for a class of screened mean electrostatic potentials which are linear in charge and encompass the Debye-Hückel theory with size, the mean spherical approximation and the linear modified Poisson-Boltzmann theory. In particular, a direct correlation function is derived for the Debye-Hückel theory with size.