Exponential convergence for the Fredrikson-Andersen one spin facilitated model

Thomas Mountford; Glauco Valle

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arXiv · 1609.01364

Exponential convergence for the Fredrikson-Andersen one spin facilitated model

Thomas Mountford·Glauco Valle

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Abstract

We prove exponential convergence to equilibrium for the Fredrikson-Andersen one spin facilitated model on bounded degree graphs satisfying a subexponential, but larger than polynomial, growth condition. This was a classical conjecture related to non-attractive spin systems. Our proof rely on coupling techniques based on Harris graphical construction for interacting particle systems.

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Thomas Mountford, Glauco Valle. 2016-09-06. Exponential convergence for the Fredrikson-Andersen one spin facilitated model. https://arxiv.org/abs/1609.01364

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