Chaos in the Random Field Ising Model

Details Chaos in the Random Field Ising Model Chaos in the Random Field Ising Model

1998-04-14

arxiv.org/abs/cond-mat/9804136v1

Phys. Rev. E 58, 4284 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, 6 eps-figures included

Scientific paper

10.1103/PhysRevE.58.4284

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 one, 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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