M. Alava et H. Rieger, CHAOS IN THE RANDOM-FIELD ISING-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4284-4287
The sensitivity of the random field Ising model to small random pertur
bations of the quenched disorder is studied via exact ground states ob
tained 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, unp
erturbed 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 v
ariations and experiments are discussed. [S1063-651X(98)06710-5].