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Glass models on Bethe lattices

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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.

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Authors and Affiliations

  1. LPTMS, Université Paris-Sud, 91405, Orsay Cedex, France

    O. Rivoire, O. C. Martin & M. Mézard

  2. Service de Physique Théorique CEA-Saclay, Orme des Merisiers, 91191, Gif-sur-Yvette, France

    G. Biroli

Authors
  1. O. Rivoire
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  2. G. Biroli
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  3. O. C. Martin
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  4. M. Mézard
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Corresponding author

Correspondence to O. Rivoire.

Additional information

Received: 23 July 2003, Published online: 19 February 2004

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

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Rivoire, O., Biroli, G., Martin, O.C. et al. Glass models on Bethe lattices. Eur. Phys. J. B 37, 55–78 (2004). https://doi.org/10.1140/epjb/e2004-00030-4

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  • DOI: https://doi.org/10.1140/epjb/e2004-00030-4

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