Glass models on Bethe lattices

Olivier Rivoire 1, Giulio Biroli 2, Olivier C. Martin 1, Marc Mézard 1

European Physical Journal B 37 (2004) 55-78

We consider ``lattice glass models'' in which each site can be occupied by at most one particle, and any particle may have at most l occupied nearest neighbors. Using the cavity method for locally tree-like lattices, we derive the phase diagram, with a particular focus on the vitreous phase and the highest packing limit. We also study the energy landscape via the configurational entropy, and discuss different equilibrium glassy phases. Finally, we show that a kinetic freezing, depending on the particular dynamical rules chosen for the model, can prevent the equilibrium glass transitions.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Service de Physique Théorique (SPhT),
    CNRS : URA2306 – CEA : DSM/SPHT