Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-10-05
Physics
Condensed Matter
Disordered Systems and Neural Networks
15 pages, 19 figures
Scientific paper
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.
Perez-Reche Francisco J.
Rosinberg Martin Luc
Tarjus Gilles
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