Theoretical equations of state for a high temperature Lennard-Jones gas
- 1 September 1975
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 63 (5) , 1818-1824
- https://doi.org/10.1063/1.431558
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.Keywords
This publication has 17 references indexed in Scilit:
- Parametric integral equation for radial distribution functionsPhysical Review A, 1974
- Equations of state for the Lennard-Jones potential calculated from a parametric integral equationThe Journal of Chemical Physics, 1974
- A functional derivative approach to thermodynamically self-consistent radial distribution functionsMolecular Physics, 1971
- Virial expansion for the radial distribution function of a fluid using the 6 : 12 potentialMolecular Physics, 1966
- Self-consistent approximations for molecular distribution functionsMolecular Physics, 1965
- Approximation Methods in Classical Statistical MechanicsPhysical Review Letters, 1962
- Integral Equation for Pair Distribution FunctionProgress of Theoretical Physics, 1960
- New method for the calculation of the pair correlation function. IPhysica, 1959
- Analysis of Classical Statistical Mechanics by Means of Collective CoordinatesPhysical Review B, 1958
- Radial Distribution Function of Fluids IJournal of the Physics Society Japan, 1957