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

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

2007-01-04

arxiv.org/abs/cond-mat/0701079v2

J. Chem. Phys. 126, 116101 (2007)

Physics

Condensed Matter

Soft Condensed Matter

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

Scientific paper

10.1063/1.2712181

It is proven that, for any soft potential characterized by a finite Fourier transform $\widetilde{\phi}(k)$, 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 $\rho\beta\widetilde{\phi}(k)$, where $\beta$ is the inverse temperature. This class includes the mean spherical approximation as a particular case.

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