Kinetically Constrained Models with Random Constraints

Abstract

We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on ${\mathbb{Z}}^2$, where the update threshold is either $1$ or $2$. The second is a mixture of the Fredrickson-Andersen $1$-spin facilitated constraint and the North-East constraint in ${\mathbb{Z}}^2$. We compare three time scales related to these models - the bootstrap percolation time for emptying the origin, the relaxation time of the kinetically constrained model, and the time for emptying the origin of the kinetically constrained model - and understand the effect of the random environment on each of them.

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• Glassy dynamics of kinetically constrained models
• Bootstrap percolation on the random graph $G_{n,p}$
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• Monotone cellular automata in a random environment
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Cited by in corpus (3)

• Kinetically Constrained Models with Random Constraints
• Bisection for kinetically constrained models revisited
• Time Scales of the Fredrickson-Andersen Model on Polluted ${\mathbb{Z}}^2$ and ${\mathbb{Z}}^3$