2012

The East model: recent results and new progresses

Faggionato, Alessandra, Martinelli, Fabio, Roberto, Cyril et al.

Understand

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.

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Similar

P. Sollich and M.R. Evans, Glassy time-scale divergence and anomalous coarsening in a kinetically constrained spin chain , Phys. Rev. Lett 83
1999
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Closest in time.
by same author, Aging through hierarchical coalescence in the east model , Com. Math. Phys. 309
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Closest in time.

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