Journals of the American Physical Society - Numerical approach to metastable states in the zero-temperature random-field Ising model

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December 2007, to be published in Physical Review B1

Numerical approach to metastable states in the zero-temperature random-field Ising model
F. J. P\'{e}rez-Reche, M. L. Rosinberg, and G. Tarjus

We study numerically the number of single-spin-flip stable states in the $T=0$ Random Field Ising Model (RFIM) on random regular graphs of connectivity $z=2$ and $z=4$ and on the cubic lattice. The annealed and quenched complexities (i.e. the entropy densities) of the metastable states with given magnetization are calculated as a function of the external magnetic field. The results show that the appearance of a (disorder-induced) out-of-equilibrium phase transition in the magnetization hysteresis loop at low disorder can be ascribed to a change in the distribution of the metastable states in the field-magnetization plane.

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