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Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models

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Abstract

We present a proof of the exponential convergence to equilibrium of single-spin-flip stochastic dynamics for the two-dimensional Ising ferromagnet in the low-temperature case with not too small external magnetic fieldh uniformly in the volume and in the boundary conditions.

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Martinelli, F., Olivieri, E. & Scoppola, E. Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models. J Stat Phys 61, 1105–1119 (1990). https://doi.org/10.1007/BF01014367

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  • DOI: https://doi.org/10.1007/BF01014367

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