The solution of Ornstein-Zernike equation for hard-sphere-like mixtures

Abstract

Analytic techniques of Baxter are used to solve the Ornstein-Zernike equation for the unusual closure relations c _αβ(r) = 0 (r > R _αβ) and h _αβ(r) = -K _αβ (r < R _αβ). It is found taht the integral ∫ dr c _αβ(r) is a simple function of the constants K _αβ. This relationship is used in certain self-consistency equations arising in the solution of the mean spherical model for dipolar mixtures.