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 (11)

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• The Asymmetric One-Dimensional Constrained Ising Model
• Glassy dynamics in the East model
• Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
• Fredrickson-Andersen one spin facilitated model out of equilibrium
• Universality in one-dimensional hierarchical coalescence processes
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Cited by in corpus (10)

• Universality results for kinetically constrained spin models in two dimensions
• Time scale separation in the low temperature East model: Rigorous results
• Relaxation to equilibrium of generalized East processes on ${\mathbb{Z}}^d$: Renormalization group analysis and energy-entropy competition
• Refined universality for critical KCM: lower bounds
• Front progression for the East model
• On a front evolution problem for the multidimensional East model
• Modified stochastic fragmentation of an interval as an ageing process
• A parity breaking Ising chain Hamiltonian as a Brownian motor
• Time scale separation and dynamic heterogeneity in the low temperature East model
• Mixing time of a kinetically constrained spin model on trees: power law scaling at criticality