Triplet distribution functions for hard spheres and hard disksa)

Abstract

The hard‐sphere and hard‐disk triplet correlation functions are computed from the Born–Green–Yvon 2 (BGY2) theory at several different densities for triplet geometries in which two particles are held fixed at contact. The same quantities are generated for hard spheres by means of a Monte Carlo method. Both the BGY2 and the Monte Carlo data agree satisfactorily. Next, the Kirkwood superposition approximation and the ’’one‐dimensional’’ approximation introduced earlier are examined to determine the regions of their applicability.