Spiral model, jamming percolation and glass-jamming transitions |
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Authors: | G Biroli C Toninelli |
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Institution: | 1. Service de Physique Théorique, CEA/Saclay-Orme des Merisiers, 91191, Gif-sur-Yvette Cedex, France 2. Laboratoire de Probabilités et Modèles Aléatoires CNRS UMR 7599 Univ. Paris VI-VII, 4 Place Jussieu, 75252, Paris Cedex 05, France
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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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