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April 2020 Kinetically constrained models with random constraints
Assaf Shapira
Ann. Appl. Probab. 30(2): 987-1006 (April 2020). DOI: 10.1214/19-AAP1527

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.

Citation

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Assaf Shapira. "Kinetically constrained models with random constraints." Ann. Appl. Probab. 30 (2) 987 - 1006, April 2020. https://doi.org/10.1214/19-AAP1527

Information

Received: 1 December 2018; Revised: 1 July 2019; Published: April 2020
First available in Project Euclid: 8 June 2020

zbMATH: 07236140
MathSciNet: MR4108128
Digital Object Identifier: 10.1214/19-AAP1527

Subjects:
Primary: 60K37, 82C22

Rights: Copyright © 2020 Institute of Mathematical Statistics

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Vol.30 • No. 2 • April 2020
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