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.
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