Spiral model, jamming percolation and glass-jamming transitions
- 114 Downloads
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.
PACS64.70.Pf Glass transitions 05.20.-y Classical statistical mechanics 05.50.+q Lattice theory and statistics 61.43.Fs Glasses
Unable to display preview. Download preview PDF.
- 6.C. Toninelli, G. Biroli, Spiral Model: a new cellular automaton with a discontinuous glass transition e-print arXiv:0709.0378Google Scholar
- 8.N. Cancrini, F. Martinelli, C. Roberto, C. Toninelli, Kinetically constrained spin models, to appear in Probab. Th. and Rel. Fields, preprint math.PR/0610106Google Scholar
- 11.M. Jeng, J.M. Schwarz, On the study of jamming percolation, arXiv:0708.0582 (v1)Google Scholar