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Spiral model, jamming percolation and glass-jamming transitions

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Abstract

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.

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Authors and Affiliations

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

    G. Biroli

  2. Laboratoire de Probabilités et Modèles Aléatoires CNRS UMR 7599 Univ. Paris VI-VII, 4 Place Jussieu, 75252, Paris Cedex 05, France

    C. Toninelli

Authors
  1. G. Biroli
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  2. C. Toninelli
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Correspondence to G. Biroli.

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Biroli, G., Toninelli, C. Spiral model, jamming percolation and glass-jamming transitions. Eur. Phys. J. B 64, 567–572 (2008). https://doi.org/10.1140/epjb/e2008-00029-9

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  • DOI: https://doi.org/10.1140/epjb/e2008-00029-9

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