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Exponential Decay of Correlations in the 2D Random Field Ising Model

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An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This… Click to show full abstract

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.

Keywords: exponential decay; random field; field ising; ising model; decay correlations

Journal Title: Journal of Statistical Physics
Year Published: 2019

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