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Glass models on Bethe lattices

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  • O. Rivoire
  • G. Biroli
  • O. Martin
  • M. Mézard

Abstract

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. Copyright EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004

Suggested Citation

  • O. Rivoire & G. Biroli & O. Martin & M. Mézard, 2004. "Glass models on Bethe lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 37(1), pages 55-78, January.
    • Handle: RePEc:spr:eurphb:v:37:y:2004:i:1:p:55-78:10.1140/epjb/e2004-00030-4
    DOI: 10.1140/epjb/e2004-00030-4
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    Cited by:

    1. David Gamarnik & David A. Goldberg & Theophane Weber, 2014. "Correlation Decay in Random Decision Networks," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 229-261, May.

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