Publication : t06/034
Jamming percolation and glassy dynamics
Toninelli C. (Institut des Hautes Etudes Scientifiques Le Bois-Marie 35, Rte de Chartres, F-91440 Bures-sur-Yvette, FRANCE)Biroli G. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2007
We present a detailed physical analysis of the dynamical glass-jamming transition which occurs for the so called Knight models recently introduced and analyzed in a joint work with D.S.Fisher [C.Toninelli, G.Biroli, D.S.Fisher Phys. Rev. Lett. 96, 035702 (2006)]. Furthermore, we review some of our previous works on Kinetically Constrained Models. The Knights models correspond to a new class of kinetically constrained models which provide the first example of finite dimensional models with an {\sl ideal glass-jamming transition}. This is due to the underlying percolation transition of particles which are mutually blocked by the constraints. This {\sl jamming percolation} 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 when $\rho\nearrow\rho_c$. These properties give rise for Knight models to an ergodicity breaking transition at $\rho_c$: at and above $\rho_{c}$ a finite fraction of the system is frozen. In turn, this finite jump in the density of frozen sites leads to a two step relaxation for dynamic correlations in the unjammed phase, analogous to that of glass forming liquids. Also, due to the faster than power law divergence of the dynamical correlation length, relaxation times diverge in a way similar to the Vogel-Fulcher law.
Revue : J. Stat. Phys. 126 731-763 (2007)
DOI : 10.1007/s10955-006-9177-9
Preprint : arXiv:cond-mat/0603860
Keywords : Kinetically constrained lattice gases; Glassy dynamics; bootstrap percolation; Jamming transition
Langue : Anglais
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