Modification of the singlet equation for a molecular system of solid spheres near a solid surface in the Percus-Yevick approximation

Abstract

Abstract An analysis of theoretical methods for studying the molecular structure of liquids bordering a solid surface was carried out. It was established that the currently existing nonlinear integral equations for partial distribution functions do not have an analytical solution for spatially inhomogeneous liquids. A linear integral equation having an analytical solution for a system of solid spheres near a solid surface was proposed.