Numerical approach to metastable states in the zero-temperature random-field Ising model

F. J. Perez-Reche, M. L. Rosinberg, G. Tarjus

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19 Citations (Scopus)


We study numerically the number of single-spin-flip stable states in the T=0 random field Ising model 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.

Original languageEnglish
Article number064422
Number of pages13
JournalPhysical Review B Condensed Matter and Materials Physics
Issue number6
Publication statusPublished - 20 Feb 2008

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