Spatial correlations in the relaxation of the Kob-Andersen model

Abstract

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.

arXiv comment7 pages, 6 figures, published version (title has changed)

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• The relation between the structure of blocked clusters and the relaxation dynamics in kinetically-constrained models
• Ageing, dynamical heterogeneities and crystallization in the Biroli-Mezard model
• Dynamic propensity in a kinetically constrained lattice gas
• Diffusive scaling of the Kob-Andersen model in ${\mathbb{Z}}^d$
• Finite-size effects and intermittency in a simple aging system
• Kinetically constrained model for gravity-driven granular flow and clogging
• A Multispin Algorithm for the Kob-Andersen Stochastic Dynamics on Regular Lattices
• Rotational correlation and dynamic heterogeneity in a kinetically constrained lattice gas
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