Chaos in the random field Ising model

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© 1998 American Physical Society (APS). This is the accepted version of the following article: Alava, Mikko J. & Rieger, Heiko. 1998. Chaos in the random field Ising model. Physical Review E. Volume 58, Issue 4. 4284-4287. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.4284, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.58.4284.
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School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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4284-4287

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Physical Review E, Volume 58, Issue 4

Abstract

The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos, meaning that the overlap of the old, unperturbed ground state and the new one is smaller than 1, but extensive. In three dimensions the rearrangements are marginal (concentrated in the well defined domain walls). Implications for finite temperature variations and experiments are discussed.

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Alava, Mikko J. & Rieger, Heiko. 1998. Chaos in the random field Ising model. Physical Review E. Volume 58, Issue 4. 4284-4287. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.4284.