Exact equations and the theory of liquids. V

Abstract

The exact equations for the unary and binary distribution functions derived in [1] contain infinite functionals M ⁽ⁱ⁾, i=1, 2, whose calculation encounters considerable difficulties. These equations cannot therefore find practical application. A method has been suggested for an approximation of these functionals. Even in the first approximation, this method leads to an equation which enables the pressure in a system of high-density hard spheres to be calculated with an accuracy ten times higher than that of the Percus-Yevick equation and 25 times higher than the accuracy of the HNC equation.