A new method of solution of the Ornstein-Zernike equation for a two-dimensional fluid

Abstract

The numerical solution of the Ornstein-Zernike equation (OZE) in two dimensions has been a difficult computational problem. We show that the Wiener-Hopf factorization of the OZE results in two coupled integral equations, and that these equations may be simply solved numerically. For surface monolayers, the hard disc system is an important reference, and particular attention is given to its solution.