Mixing time and local exponential ergodicity of the East-like process in $\mathbf Z^d$

Paul Chleboun; Alessandra Faggionato; Fabio Martinelli

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arXiv · 1501.02240

Mixing time and local exponential ergodicity of the East-like process in $\mathbf Z^d$

Paul Chleboun·Alessandra Faggionato·Fabio Martinelli

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Abstract

The East process, a well known reversible linear chain of spins, represents the prototype of a general class of interacting particle systems with constraints modeling the dynamics of real glasses. In this paper we consider a generalization of the East process living in the d-dimensional lattice and we establish new progresses on the out- of-equilibrium behavior. In particular we prove a form of (local) exponential ergodicity when the initial distribution is far from the stationary one and we prove that the mixing time in a finite box grows linearly in the side of the box.

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BibTeX RIS

Paul Chleboun, Alessandra Faggionato, Fabio Martinelli. 2015-01-09. Mixing time and local exponential ergodicity of the East-like process in $\mathbf Z^d$. https://arxiv.org/abs/1501.02240

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