https://doi.org/10.1140/epjb/e2004-00030-4
Glass models on Bethe lattices
1
LPTMS, Université Paris-Sud, 91405 Orsay Cedex, France
2
Service de Physique Théorique CEA-Saclay,
Orme des Merisiers, 91191 Gif-sur-Yvette, France
Corresponding author: a rivoire@lptms.u-psud.fr
Received:
23
July
2003
Published online:
19
February
2004
We consider “lattice glass models” in which each site can be
occupied by at most one particle, and any particle
may have at most 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.
PACS: 64.70.Pf – Glass transitions / 64.60.Cn – Order-disorder and statistical mechanics of model systems / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004