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 neighbouring 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.

4 pages, 4 figures

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• Dynamical heterogeneities in a two dimensional driven glassy model: current fluctuations and finite size effects
• Accelerated relaxation and suppressed dynamic heterogeneity in a kinetically constrained (East) model with swaps
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• Duality between random trap and barrier models
• Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
• Nonequilibrium grand-canonical ensemble built from a physical particle reservoir
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• H-theorem at negative temperature: the random exchange model with bounds
• Nonlinear dielectric response in glasses: restoring forces and avoided spin-glass criticality
• Subdiffusive motion in kinetically constrained models
• Non-additive large deviations function for the particle densities of driven systems in contact