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

Francisco J. Perez-Reche, Martin L. Rosinberg, Gilles Tarjus

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Abstract

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 pages15
JournalPhysical Review B
Volume77
Issue number6
DOIs
Publication statusPublished - Feb 2008
Externally publishedYes

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metastable state
Ising model
magnetization
disorders
cubic lattices
temperature
hysteresis
entropy
magnetic fields

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Perez-Reche, Francisco J. ; Rosinberg, Martin L. ; Tarjus, Gilles. / Numerical approach to metastable states in the zero-temperature random-field Ising model. In: Physical Review B. 2008 ; Vol. 77, No. 6.
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Numerical approach to metastable states in the zero-temperature random-field Ising model. / Perez-Reche, Francisco J.; Rosinberg, Martin L.; Tarjus, Gilles.

In: Physical Review B, Vol. 77, No. 6, 064422, 02.2008.

Research output: Contribution to journalArticle

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