Eur. Phys. J. B 64, 567-572 (2008)
https://doi.org/10.1140/epjb/e2008-00029-9

Spiral model, jamming percolation and glass-jamming transitions

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

Corresponding author: ^a giulio.biroli@cea.fr

Received: 4 September 2007
Published online: 23 January 2008

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.