Equation of state for hard sphere fluids with and without Kac tails

E. Trizac 1, I. Pagonabarraga 2

American Journal of Physics 76 (2008) 777

In this note, we propose a simple derivation of the one dimensional hard rod equation of state, with and without a Kac tail (appended long range and weak potential). The case of hard spheres in higher dimension is also addressed and it is shown there that our arguments --which avoid any mathematical complication-- allow to recover the virial form of the equation of state in a direct way.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Departament de Física Fonamental, Universitat de Barcelona,
    Departament de Física Fonamental, Universitat de Barcelona