Close-Pack Approach to the Evaluation of Classical Two Particle Cluster Integral for Lennard-Jones Potential

摘要

This work aims at the evaluation of two particle cluster integral arising in the determination of the classical partition function for a system of iV identical particles interacting through a binary interaction potential, by using cluster expansion. The cases where the particle volume sizes are omittable in comparison with the size of the physical volume, this integral which is six dimensional is reduced to a univariate integral which is evaluated numerically even though it seems to be possible to get analyticity. We use the statement "Close-Pack Approach" to call the method we present.