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Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models
Authors:Fabio Martinelli  Enzo Olivieri  Elisabetta Scoppola
Institution:(1) Dipartimento di Matematica, Università ldquoLa Sapienzardquo, Rome, Italy;(2) Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila, L'Aquila, Italy;(3) CNR-GNFM, Italy;(4) Dipartimento di Fisica, Università ldquoLa Sapienzardquo, Rome, Italy
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.
Keywords:Ising model  Glauber dynamics  metastability
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