Subdiffusion and dynamical heterogeneities in a lattice glass model
Abstract
We study a kinetically constrained lattice glass model in which local densities are globally conserved, but randomly redistributed on neighbouring sites. Redistribution is inhibited at high densities. The full steady-state distribution can be computed exactly in any space dimension d, as a function of a parameter encoding the attractive or repulsive nature of the interactions between particles. Dynamical heterogeneities are characterized by a length scale that diverges when approaching the critical density. Interestingly, the motion of mobile regions is found to be subdiffusive for a large range of parameters. The glassy dynamics of the model can be described as a reaction-(sub)diffusion process for the mobile regions.Keywords
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