Jamming Percolation and Glass Transition in Lattice Models
C. Toninelli. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We will introduce a lattice gas model with kinetic
constraints, the Spiral Model, for which a dynamical glass transition
occurs at a finite critical density, $\rho_c$.
Above $\rho_c$ ergodicity is broken due to the discontinuous
appearance of an infinite spanning cluster of jammed particles.
Furthermore, the crossover length diverges exponentially as
$\rho_c$ is approached from below and the dynamical correlations
display a two-step relaxation.
We will explain how the mechanism at the root of this peculiar
phenomena is related to the underlying occurrence of an unconventional percolation transition.
Finally, we will discuss the common features of the
Spiral Model transition with the liquid/glass and other jamming
transitions.
%0 Book Section
%1 statphys23_1065
%A Toninelli, C.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K constrained kinetically models statphys23 topic-9 transition
%T Jamming Percolation and Glass Transition in Lattice Models
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1065
%X We will introduce a lattice gas model with kinetic
constraints, the Spiral Model, for which a dynamical glass transition
occurs at a finite critical density, $\rho_c$.
Above $\rho_c$ ergodicity is broken due to the discontinuous
appearance of an infinite spanning cluster of jammed particles.
Furthermore, the crossover length diverges exponentially as
$\rho_c$ is approached from below and the dynamical correlations
display a two-step relaxation.
We will explain how the mechanism at the root of this peculiar
phenomena is related to the underlying occurrence of an unconventional percolation transition.
Finally, we will discuss the common features of the
Spiral Model transition with the liquid/glass and other jamming
transitions.
@incollection{statphys23_1065,
abstract = {We will introduce a lattice gas model with kinetic
constraints, the Spiral Model, for which a dynamical glass transition
occurs at a finite critical density, $\rho_c$.
Above $\rho_c$ ergodicity is broken due to the discontinuous
appearance of an infinite spanning cluster of jammed particles.
Furthermore, the crossover length diverges exponentially as
$\rho_c$ is approached from below and the dynamical correlations
display a two-step relaxation.
We will explain how the mechanism at the root of this peculiar
phenomena is related to the underlying occurrence of an unconventional percolation transition.
Finally, we will discuss the common features of the
Spiral Model transition with the liquid/glass and other jamming
transitions.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Toninelli, C.},
biburl = {https://www.bibsonomy.org/bibtex/2b053ce31965d76231a7d9d7cb1e18feb/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {9e5ac17674ce2669f9a8b067d075a17a},
intrahash = {b053ce31965d76231a7d9d7cb1e18feb},
keywords = {constrained kinetically models statphys23 topic-9 transition},
month = {9-13 July},
timestamp = {2007-06-20T10:16:38.000+0200},
title = {Jamming Percolation and Glass Transition in Lattice Models},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1065},
year = 2007
}