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16 April 2024
 
  » arxiv » cond-mat/0501192

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Subdiffusion and dynamical heterogeneities in a lattice glass model
Eric Bertin ; Jean-Philippe Bouchaud ; Francois Lequeux ;
Date 10 Dec 2004
Journal Phys. Rev. Lett. 95, 015702 (2005) DOI: 10.1103/PhysRevLett.95.015702
Subject Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech
AbstractWe 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.
Source arXiv, cond-mat/0501192
Other source [GID 953768] pmid16090631
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