The East model: recent results and new progresses

TL;DR

This paper reviews recent rigorous results on the East model, a kinetically constrained system relevant to glass dynamics, and presents new improvements in understanding its equilibrium and non-equilibrium behavior.

Contribution

It provides an extensive overview of recent advances and introduces new results concerning the dynamics of the East model.

Findings

Enhanced understanding of the East model's equilibrium properties

New bounds on non-equilibrium dynamics

Improved analytical techniques for kinetically constrained models

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.