Thermodynamic consistency between the energy and virial routes in the mean spherical approximation for soft potentials

Abstract

It is proven that, for any soft potential characterized by a finite Fourier transform $\widetildeϕ(k)$, the virial and energy thermodynamic routes are equivalent for approximations such that the Fourier transform of the total correlation function divided by the density $ρ$ is an arbitrary function of $ρβ\widetildeϕ(k)$, where $β$ is the inverse temperature. This class includes the mean spherical approximation as a particular case.

3 pages; v2: Comment on compressibility route added; to be published in JCP