Thermodynamically self-consistent theories of simple liquids. II. A perturbation scheme for systems with purely repulsive forces

Abstract

A parametrized perturbation scheme is derived for simple systems with purely repulsive forces. The parameter is chosen so that the pressure in the system found by differentiating the free energy is consistent with that found by integrating over the radial distribution function. Results of calculations for the equation of state of an inverse-12 fluid are presented and found to be in excellent agreement with Monte Carlo simulations. The use of the results of the self-consistent scheme as a reference system for the Lennard-Jones fluid is discussed.