The East model: recent results and new progresses

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.

References in corpus (4)

• Dynamic first-order phase transition in kinetically constrained models of glasses
• Glassy dynamics in the East model
• Fredrickson-Andersen one spin facilitated model out of equilibrium
• Mixing of the upper triangular matrix walk

Cited by in corpus (1)

• Mixing time of a kinetically constrained spin model on trees: power law scaling at criticality