Long-time Behavior for the Stochastic Ising Model with Unbounded Random Couplings

2002/05/10 by H. Spohn, Spohn, H., E. Zhizhina +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0205014

arxiv created 2002/05/10 · arxiv updated 2009/11/30

Abstract

We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged spin auto-correlation function has an exponential decay in time. We prove that, if the couplings are unbounded, the decay switches to either a power law or a stretched exponential, in general.

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