Orientational correlations in fluids of hard convex bodies. I. General theory

Abstract

A version of scaled particle theory (SPT) is developed for a thermodynamic system comprised of a single hard convex body (HCB) in a fluid of spheres. In two limits, corresponding to an infinitesimally and a macroscopically scaled HCB, the present version of SPT yields the same angle-dependent constraints on the contact radial distribution function (rdf) as those derived by Boublik for the angle-averaged rdf. For noninfinitesimally scaled HCB’s, a new orientation-dependent condition on the contact rdf is determined by means of a differential bulging technique.