Equation of state for hard sphere fluids offering accurate virial coefficients

TL;DR

This paper develops an extended asymptotic expansion method to derive an equation of state for hard sphere fluids, accurately matching known virial coefficients and compressibility data across stable and metastable regions.

Contribution

It introduces a novel extension of the asymptotic expansion method that accurately predicts virial coefficients and the equation of state for hard sphere fluids.

Findings

Accurately reproduces the first sixteen virial coefficients.

Provides an equation of state valid in both stable and metastable regions.

Matches experimental and simulation data for compressibility factors.

Abstract

The asymptotic expansion method is extended by using currently available accurate values for the first ten virial coefficients for hard sphere fluids. It is then used to yield an equation of state for hard sphere fluids, which accurately represents the currently accepted values for the first sixteen virial coefficients and compressibility factor data in both the stable and the metastable regions of the phase diagram.