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

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

2005-05-03

arxiv.org/abs/cond-mat/0505067v1

J. Chem. Phys.123,104102 (2005)

Physics

Condensed Matter

Statistical Mechanics

2 pages

Scientific paper

10.1063/1.1992469

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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