A generic equation of state for the hard-sphere fluid incorporating the high density limit

Abstract

Based on an analysis of the virial coefficients of some hard-sphere fluid models a generic equation for the hard-sphere fluid is developed. This equation reproduces the correct high density limit. The generic equation provides the basis of a hierarchy of hard-sphere terms for different levels of simplification. As a result of this investigation a new hard-sphere term is developed by a simple linear regression of the virial coefficients in suitable coordinates. This term accurately represents the virial coefficients from B₂ to B₁₀ and gives the nearly correct pole packing fraction.