Spiral model, jamming percolation and glass-jamming transitions

Details Spiral model, jamming percolation and glass-jamming transitions Spiral model, jamming percolation and glass-jamming transitions

2007-09-05

arxiv.org/abs/0709.0583v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures, proceedings for StatPhys23

Scientific paper

10.1140/epjb/e2008-00029-9

The Spiral Model (SM) corresponds to a new class of kinetically constrained models introduced in joint works with D.S. Fisher [8,9]. They 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 [5] for rigorous proofs. We also show that our arguments for SM does not need any modification contrary to recent claims of Jeng and Schwarz [10].

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