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Radial Distribution Functions and the Equation of State of Fluids Composed of Molecules Interacting According to the Lennard-Jones Potential

John G. Kirkwood, Victor A. Lewinson, Berni J. Alder

Abstract

The integral equation for the radial distribution function of a fluid composed of spherical molecules interacting according to a modified Lennard-Jones potential has been integrated in the Kirkwood approximation and in the Born-Green approximation over a wide range of temperature and density. The distribution functions so obtained have been used to calculate the equation of state and the thermodynamic functions of the fluid. The calculated thermodynamic functions are compared with the experimental values for liquid argon.

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Key concepts: Equation of state, Radial distribution function, Lennard-Jones potential, Integral equation, Distribution function, Range (aeronautics), Molecular dynamics, Distribution (mathematics)