title: Subdiffusion and dynamical heterogeneities in a lattice glass model.
abstract: We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighboring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting for attractive or repulsive interactions. The full steady-state distribution can be computed exactly in any space dimension d. Dynamical heterogeneities are characterized by a length scale that diverges when approaching the critical density. The glassy dynamics of the model can be described as a reaction-diffusion process for the mobile regions. The motion of mobile regions is found to be subdiffusive, for a large range of parameters, due to a self-induced trapping mechanism.
authors.affiliation: Department of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland.
authors.forename: Eric
authors.initials: E
authors.lastname: Bertin
authors.forename: Jean-Philippe
authors.initials: JP
authors.lastname: Bouchaud
authors.forename: François
authors.initials: F
authors.lastname: Lequeux