Bounds on the Configurational Integral for Hard Parallel Squares and Cubes

Abstract

Upper and lower bounds on the configurational integral for hard parallel squares and cubes are obtained. These bounds are valid over the entire density range and apply to infinite (thermodynamic) systems. Both the upper bound and the lower bound approach the free‐volume form at high density. This strong result proves rigorously that the free‐volume form is correct for these systems in the thermodynamic limit.