Two-particle distribution function of a multicomponent hard-sphere mixture

A new expression for the pair distribution function of a multicomponent hard-sphere mixture is obtained using the method of accelerated convergence of the perturbation series and exactly known virial coefficients of the expansion in the powers of density. For binary and ternary mixtures, the calculation is in good agreement with the available data of experiments. For a one-component system, the found function transforms to an expression that describes the radial distribution function over the entire density range with the accuracy of the computer experiment.