Approximate Methods for Obtaining Radial Distribution Functions of Fluids

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Abstract
Two integral equations are proposed whose solutions approximate the radial distribution function of classical fluids whose single-component particles interact with pairwise radial forces. Solutions to these equations are obtained for several temperature and density conditions for particles interacting with potentials corresponding to the Lennard-Jones, the hard-sphere, and the Gaussian models. When Monte Carlo results are used as a standard, these new equations provide answers which often show improvement over the answers obtained by the Percus-Yevick or convolution-hypernetted-chain equations.