Exponential Decay of Correlations in the 2D Random Field Ising Model
Author(s): Aizenman, Michael; Harel, Matan; Peled, Ron
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http://arks.princeton.edu/ark:/88435/pr1wd3q191| 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. |
| Publication Date: | 13-Nov-2019 |
| DOI: | doi:10.1007/s10955-019-02401-5 |
| ISSN: | 0022-4715 |
| EISSN: | 1572-9613 |
| Keywords: | random field Ising model, quenched disorder, 2D, disagreement percolation, exponential decay, anti-concentration bounds |
| Language: | en |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | Journal of Statistical Physics |
| Version: | Final published version. This is an open access article. |
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