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On the equivalence between the energy and virial routes to the equation of state of hard-sphere fluids

Andres Santos
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Abstract

The energy route to the equation of state of hard-sphere fluids is ill-defined since the internal energy is just that of an ideal gas and thus it is independent of density. It is shown that this ambiguity can be avoided by considering a square-shoulder interaction and taking the limit of vanishing shoulder width. The resulting hard-sphere equation of state coincides exactly with the one obtained through the virial route. Therefore, the energy and virial routes to the equation of state of hard-sphere fluids can be considered as equivalent.

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BibTeXRIS

Andres Santos. 2005-05-03. On the equivalence between the energy and virial routes to the equation of state of hard-sphere fluids. https://doi.org/10.1063/1.1992469

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