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.

arXiv comment3 pages; v2: Comment on compressibility route added; to be published in JCP

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Cited by in corpus (4)

• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• A Numerical Test of a High-Penetrability Approximation for the One-Dimensional Penetrable-Square-Well Model
• Thermodynamic consistency of energy and virial routes: An exact proof within the linearized Debye-Hückel theory
• Simple relationship between the virial-route hypernetted-chain and the compressibility-route Percus--Yevick values of the fourth virial coefficient