Abstract
Based on a proposal by Shinomoto, a new integral equation is derived for the radial distribution function of a hard-sphere fluid using mainly geometric arguments. This integral equation is solved by a perturbation expansion in the density of the fluid, and the results obtained are compared with those from molecular dynamics simulations and from the Born-Green-Yvon (BGY) and Percus-Yevick (PY) theories. The present theory provides results for the radial distribution function which are intermediate in accuracy between those obtained from the BGY and from the PY theories.
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Wehner, M.F., Wolfer, W.G. A new integral equation for the radial distribution function of a hard sphere fluid. J Stat Phys 42, 493–508 (1986). https://doi.org/10.1007/BF01127723
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DOI: https://doi.org/10.1007/BF01127723