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 $\tilde{\varphi }(k)$, the virial and energy thermodynamic routes are equivalent for approximations such that the Fourier transform of the total correlation function divided by the density $\rho$ is an arbitrary function of $\rho \beta \tilde{\varphi }(k)$, where $\beta$ 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

References in corpus (3)

• Structure of penetrable-rod fluids: Exact properties and comparison between Monte Carlo simulations and two analytic theories
• Are the energy and virial routes to thermodynamics equivalent for hard spheres?
• On the equivalence between the energy and virial routes to the equation of state of hard-sphere fluids

Cited by in corpus (2)

• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• A Numerical Test of a High-Penetrability Approximation for the One-Dimensional Penetrable-Square-Well Model