Theoretical equations of state for a high temperature Lennard-Jones gas

Abstract

Radial distribution functions are computed for a high temperature Lennard‐Jones gas using a parametric integral equation. The parameter is determined for each isotherm by adjustment to give good agreement in pressure with Monte Carlo computations. The pressure and energy equations of state are obtained from the radial distribution functions. For each isotherm studied (T*=5, 7, 10, 14, 20, 30, 50, 70, 100), a Padé approximant is used to represent the pressure and energy, respectively, as functions of density. The consistency of the equations of state as here computed is tested by means of the energy equation.