Abstract
An apparently exact variational method for obtaining the three-particle distribution function of classical, pairwise additive potential energy function systems from the pair distribution function is used to treat two- and three-dimensional lattice gases. The results obtained strongly support the view that the variational method is exact. This method is also used in conjunction with the integrated Buff–Brout equation to obtain the pair and the three-particle distribution functions of two-dimensional lattice gases from the interparticle interactions.
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