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

Michael Aizenman; Matan Harel; Ron Peled

doi:10.1007/s10955-019-02401-5

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

Michael Aizenman, Matan Harel, Ron Peled

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	304-331
Number of pages	28
Journal	Journal of Statistical Physics
Volume	180
Issue number	1-6
DOIs	https://doi.org/10.1007/s10955-019-02401-5
State	Published - Sep 1 2020

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

2D
Anti-concentration bounds
Disagreement percolation
Exponential decay
Quenched disorder
Random field Ising model

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10.1007/s10955-019-02401-5

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title = "Exponential Decay of Correlations in the 2D Random Field Ising Model",

abstract = "An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model{\textquoteright}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 = "2D, Anti-concentration bounds, Disagreement percolation, Exponential decay, Quenched disorder, Random field Ising model",

author = "Michael Aizenman and Matan Harel and Ron Peled",

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AU - Harel, Matan

AU - Peled, Ron

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KW - Exponential decay

KW - Quenched disorder

KW - Random field Ising model

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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