Background correlation functions in the hard sphere systems

Abstract

The formalism developed by Meeron and Siegert is modified in such a way that the logarithm of the background correlation function is expressed in terms of the chemical potential of hard spheres and that of a fused hardsphere body in a mixture with hard spheres. The recently proposed equation of state is employed to evaluate these chemical potentials. The background correlation functions on the interval (0, √2) can be easily evaluated with high accuracy for all densities in one- and multicomponent systems. The proposed method allows us to determine triplet and higher-order correlation functions.