Analytical solution of the Yukawa closure of the Ornstein—Zernike equation. II. The full solution

Abstract

New and simpler forms are presented of the closure of the analytical solution of the Ornstein—Zernike equation for the general case consisting of a sum of M Yukawa exponentials with factorizable coefficients in terms of an M × M scaling matrix γ (Blum, L., Vericat, F., and Herrera, J. N., 1992, J. statist. Phys., 66, 249) are presented. The general solution is given in terms of M(M—1) symmetry relations and M boundary conditions. The general form for the multicomponent case is obtained. For only one component the closure for n = 1, …, M is