Translator Disclaimer
2019 Exponential convergence to equilibrium for the $d$-dimensional East model
Laure Marêché
Electron. Commun. Probab. 24: 1-10 (2019). DOI: 10.1214/19-ECP261

Abstract

Kinetically constrained models (KCMs) are interacting particle systems on $\mathbb{Z} ^{d}$ with a continuous-time constrained Glauber dynamics, which were introduced by physicists to model the liquid-glass transition. One of the most well-known KCMs is the one-dimensional East model. Its generalization to higher dimension, the $d$-dimensional East model, is much less understood. Prior to this paper, convergence to equilibrium in the $d$-dimensional East model was proven to be at least stretched exponential, by Chleboun, Faggionato and Martinelli in 2015. We show that the $d$-dimensional East model exhibits exponential convergence to equilibrium in all settings for which convergence is possible.

Citation

Download Citation

Laure Marêché. "Exponential convergence to equilibrium for the $d$-dimensional East model." Electron. Commun. Probab. 24 1 - 10, 2019. https://doi.org/10.1214/19-ECP261

Information

Received: 2 May 2019; Accepted: 19 August 2019; Published: 2019
First available in Project Euclid: 13 September 2019

zbMATH: 1422.60160
MathSciNet: MR4003129
Digital Object Identifier: 10.1214/19-ECP261

Subjects:
Primary: 60K35

JOURNAL ARTICLE
10 PAGES


SHARE
Back to Top