Integral Equations in the Theory of Classical Fluids

Abstract

Topological analysis of Mayer diagrams is used to obtain generalizations of the Percus‐Yevick and convolution hypernetted chain integral equations to systems of equations involving higher correlation functions. Only the higher direct correlation functions appear in the final integral equations. A distinctive feature of the system obtained is the appearance of derivatives with respect to the density. Numerical comparison with exact virial coefficients is made for the standard test potentials of parallel hard squares and cubes.