TRIPLET DISTRIBUTION FUNCTIONS FOR HARD SPHERES AND HARD DISKS

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. © 1979 American Institute of Physics."