Spiral model, jamming percolation and glass-jamming transitions
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 firstname.lastname@example.org
Published online: 23 January 2008
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  for rigorous proofs.
PACS: 64.70.Pf – Glass transitions / 05.20.-y – Classical statistical mechanics / 05.50.+q – Lattice theory and statistics / 61.43.Fs – Glasses
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008