Spatial correlations in the relaxation of the Kob-Andersen model

Details Spatial correlations in the relaxation of the Kob-Andersen model Spatial correlations in the relaxation of the Kob-Andersen model

2004-04-08

arxiv.org/abs/cond-mat/0404214v3

Europhysics Letters 69, pp 235-241 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 6 figures, published version (title has changed)

Scientific paper

10.1209/epl/i2004-10323-2

We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as the density $\rho$ increases, in a way compatible with a double-exponential law. We characterize in detail the trapping time correlation length, the cooperativity length, and the distribution of persistent clusters of particles. This last quantity is related to the typical size of blocked clusters that slow down the dynamics for a given density.

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