A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density ρc ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and time scales diverge as expC(ρc-ρ)-μ. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.
%0 Journal Article
%1 Toninelli2006Jamming
%A Toninelli, Cristina
%A Biroli, Giulio
%A Fisher, Daniel
%D 2006
%I American Physical Society
%J Physical Review Letters
%K percolation glasses lattice-models jamming kinetic-models
%N 3
%P 035702+
%R 10.1103/physrevlett.96.035702
%T Jamming Percolation and Glass Transitions in Lattice Models
%U http://dx.doi.org/10.1103/physrevlett.96.035702
%V 96
%X A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density ρc ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and time scales diverge as expC(ρc-ρ)-μ. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.
@article{Toninelli2006Jamming,
abstract = {{A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density ρc ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and time scales diverge as exp[C(ρc-ρ)-μ]. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Toninelli, Cristina and Biroli, Giulio and Fisher, Daniel},
biburl = {https://www.bibsonomy.org/bibtex/2125a70e68db420b4ffb500879d087836/nonancourt},
citeulike-article-id = {9151677},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.96.035702},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v96/i3/e035702},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v96/i3/e035702},
doi = {10.1103/physrevlett.96.035702},
interhash = {edf45c2b9461c3b8e3f909847dfb6567},
intrahash = {125a70e68db420b4ffb500879d087836},
issn = {1079-7114},
journal = {Physical Review Letters},
keywords = {percolation glasses lattice-models jamming kinetic-models},
month = jan,
number = 3,
pages = {035702+},
posted-at = {2014-02-10 09:49:28},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-08-01T16:13:47.000+0200},
title = {{Jamming Percolation and Glass Transitions in Lattice Models}},
url = {http://dx.doi.org/10.1103/physrevlett.96.035702},
volume = 96,
year = 2006
}