Exponential decay of correlations in the two-dimensional random field Ising model

2019/05/14 by Ding, Jian, Xia, Jiaming
#60K35 #82B44 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.05651

Abstract

We study random field Ising model on \mathbb Z² where the external field is given by i.i.d. Gaussian variables with mean zero and positive variance. We show that the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary.

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