The European Physical Journal B

, Volume 64, Issue 3–4, pp 567–572 | Cite as

Spiral model, jamming percolation and glass-jamming transitions

  • G. Biroli
  • C. Toninelli


The Spiral Model (SM) corresponds to a new class of kinetically constrained models introduced in joint works with Fisher [9,10] which provide the first example of finite dimensional models with an ideal glass-jamming transition. This is due to an underlying jamming percolation transition which has unconventional features: it is discontinuous (i.e. the percolating cluster is compact at the transition) and the typical size of the clusters diverges faster than any power law, leading to a Vogel-Fulcher-like divergence of the relaxation time. Here we present a detailed physical analysis of SM, see [6] for rigorous proofs.


64.70.Pf Glass transitions 05.20.-y Classical statistical mechanics 05.50.+q Lattice theory and statistics 61.43.Fs Glasses 


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© Springer 2008

Authors and Affiliations

  1. 1.Service de Physique ThéoriqueCEA/Saclay-Orme des MerisiersGif-sur-Yvette CedexFrance
  2. 2.Laboratoire de Probabilités et Modèles Aléatoires CNRS UMR 7599 Univ. Paris VI-VIIParis Cedex 05France

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