Thermodynamics and structure of a fluid of hard rods, disks, spheres, or hyperspheres from rescaled virial expansions

Abstract

By rescaling the exact low-density results practical expressions are obtained for the equation of state and the direct correlation function of a fluid of hard D-spheres allowing a unified treatment of both the odd and even space dimensionalities D. The accuracy of these results is tested against those of the current literature and found to be excellent, in particular for hard disks (D=2), whereas the hard-rod results (D=1) are reproduced exactly. © 1987 The American Physical Society.