Hard-sphere fluid equation of state

Abstract

A series expansion for a parameter related to the hard-sphere fluid chemical potential is shown to converge much more rapidly than the virial expansion. Using only the first three terms of the new expansion the known virial coefficients B₆ and B₇ are reproduced accurately and estimates are given for B₈, B₉ and B₁₀. The chemical potential and the pressure are predicted accurately up to the density of the hard-sphere “glass transition” recently discovered by Woodcock.