Radial Distribution Function Calculated by the Monte-Carlo Method for a Hard Sphere Fluid

Abstract

The radial distribution function of a fluid of rigid spheres has been calculated using IBM equipment by a Monte-Carlo method which is valid only at relatively low densities. Up to the highest densities studied, 20 percent of closest packing, the radial distribution function agrees within the precision of the method with the one calculated by the use of the superposition approximation in triplet space. Another Monte-Carlo approach was used at a higher density, 72.4 percent of closest packing, and the results agree with published computations.