On the equivalence between the energy and virial routes to the equation of state of hard-sphere fluids
arXiv:cond-mat/0505067 · doi:10.1063/1.1992469
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.
2 pages
Cited by in corpus (9)
- Structural and Thermodynamic Properties of Hard-Sphere Fluids
- Structure of the square-shoulder fluid
- Structure of penetrable-rod fluids: Exact properties and comparison between Monte Carlo simulations and two analytic theories
- Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid
- Chemical-Potential Route: A Hidden Percus-Yevick Equation of State for Hard Spheres
- Janus fluid with fixed patch orientations: theory and simulations
- Are the energy and virial routes to thermodynamics equivalent for hard spheres?
- Phase behavior of weakly polydisperse sticky hard spheres: Perturbation theory for the Percus-Yevick solution
- Thermodynamic consistency between the energy and virial routes in the mean spherical approximation for soft potentials