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The energy route to the equation of state of hard-sphere fluids isill-defined since the internal energy is just that of an ideal gas and thus itis independent of density. It is shown that this ambiguity can be avoided byconsidering a square-shoulder interaction and taking the limit of vanishingshoulder width. The resulting hard-sphere equation of state coincides exactlywith the one obtained through the virial route. Therefore, the energy andvirial routes to the equation of state of hard-sphere fluids can be consideredas equivalent.Comment: 2 page

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