Dimensionality and universal strong coupling equations of state

Abstract

It is shown that variational hard-core models result in universal high-density equations of state, for one and three-dimensional systems. The one-dimensional energy functional is given asymptotically by a fluid Madelung constant and a correction term quadratic in the free volume. The three-dimensional functional, based on the Percus-Yevick hard-sphere pair correlation function, is given asymptotically by a Madelung constant and a correction term, cubic in the free volume.