The East model: recent results and new progresses

2012/05/08 by Alessandra Faggionato, Fabio Martinelli, Faggionato, Alessandra +5 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Probability (math.PR) #Theoretical and Computational Physics #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1205.1607

arxiv created 2012/05/08 · openalex publication_date 2012/05/08 · arxiv updated 2012/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The East model is a particular one dimensional interacting particle system in which certain transitions are forbidden according to some constraints depending on the configuration of the system. As such it has received particular attention in the physics literature as a special case of a more general class of systems referred to as kinetically constrained models, which play a key role in explaining some features of the dynamics of glasses. In this paper we give an extensive overview of recent rigorous results concerning the equilibrium and non-equilibrium dynamics of the East model together with some new improvements.

Citations

• Logarithmic Sobolev inequalities for finite Markov chains
• Logarithmic Sobolev Inequalities
• Mixing of the upper triangular matrix walk
• On reverse hypercontractivity

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