Nonanalytical equation of state of the hard sphere fluid

Abstract

An equation of state of the hard sphere fluid which is not analytical at the freezing density is proposed and tested. The nonanalytical term is based on the the classical nucleation theory and is able to capture the observed ``anomalous increase'' of pressure at high densities. It is combined with the virial expansion at low densities.

5 pages, 3 figures

References in corpus (1)

• New results for virial coefficients of hard spheres in D dimensions

Cited by in corpus (8)

• Simulation-based equation of state of the hard disk fluid and prediction of higher-order virial coefficients
• Equation of state for hard sphere fluids offering accurate virial coefficients
• New Closed Virial Equation of State for Hard-Sphere Fluids
• Understanding Dynamics in Coarse-Grained Models: II. Coarse-Grained Diffusion Modeled Using Hard Sphere Theory
• Carnahan Starling type equations of state for stable hard disk and hard sphere fluids
• On extrapolation of virial coefficients of hard spheres
• A very accurate hard sphere equation of state over the entire stable and metstable region
• Glass transition and random packing in the hard sphere system