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

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

2002-05-10

arxiv.org/abs/math-ph/0205014v1

Physics

Mathematical Physics

Scientific paper

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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