Chaos in the random field Ising model

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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.

Details

Original languageEnglish
Pages (from-to)4284-4287
JournalPhysical Review E
Volume58
Issue number4
Publication statusPublished - 1998
MoE publication typeA1 Journal article-refereed

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