The pressure and temperature consistent Lennard-Jones liquid

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Abstract
An approximate theory for the radial distribution function of a homogeneous system is presented that ensures consistency between the pressure and compressibility equations, and that the Helmholtz free energy has a unique value. The theory is applied to the fourth virial coefficient of a Lennard-Jones fluid in order to investigate the importance of the latter requirement.It is found that the resulting fourth virial coefficient shows a substantial improvement over that of theories that do not give a unique free energy.

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