Differential condition of thermodynamic consistency as a closure for the Ornstein-Zernike equation

Abstract

The differential condition of self-consistency relating the thermodynamic functions and their derivatives locally at a studied point of the phase diagram has been suggested as a closure for the Ornstein-Zernike (OZ) equation. This produces an infinite set of OZ-like equations together with functionals---these are conditions to determine exact values of correlation functions and bridge function. To solve the problem an efficient method was developed that allows one to obtain not only 14 virial terms for a hard-sphere fluid (low-density limit) but the equation of state at high density with good accuracy.