期刊
JOURNAL OF STATISTICAL PHYSICS
卷 180, 期 1-6, 页码 304-331出版社
SPRINGER
DOI: 10.1007/s10955-019-02401-5
关键词
Random field Ising model; Quenched disorder; 2D; Disagreement percolation; Exponential decay; Anti-concentration bounds
资金
- NSF [DMS-1613296]
- Weston Visiting Professorship at the Weizmann Institute of Science
- Israel Science Foundation [861/15]
- European Research Council [678520]
- Zuckerman Postdoctoral Fellowship
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.
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