Subdiffusion and dynamical heterogeneities in a lattice glass model

Details Subdiffusion and dynamical heterogeneities in a lattice glass model Subdiffusion and dynamical heterogeneities in a lattice glass model

2005-01-10

arxiv.org/abs/cond-mat/0501192v2

Phys. Rev. Lett. 95, 015702 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.95.015702

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.

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