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

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

Research output: Contribution to journalArticle

  • 16 Citations

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
StatePublished - Feb 2008
Externally publishedYes

Fingerprint

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

Cite this

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, Vol. 77, No. 6, 064422, 02.2008.

Research output: Contribution to journalArticle

@article{dbe019b0f4264dbfa71aa24cae3ef039,
title = "Numerical approach to metastable states in the zero-temperature random-field Ising model",
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.",
author = "Perez-Reche, {Francisco J.} and Rosinberg, {Martin L.} and Gilles Tarjus",
year = "2008",
month = "2",
doi = "10.1103/PhysRevB.77.064422",
volume = "77",
journal = "Physical Review B",
issn = "0031-9007",
number = "6",

}

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

TY - JOUR

T1 - Numerical approach to metastable states in the zero-temperature random-field Ising model

AU - Perez-Reche,Francisco J.

AU - Rosinberg,Martin L.

AU - Tarjus,Gilles

PY - 2008/2

Y1 - 2008/2

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevB.77.064422

DO - 10.1103/PhysRevB.77.064422

M3 - Article

VL - 77

JO - Physical Review B

T2 - Physical Review B

JF - Physical Review B

SN - 0031-9007

IS - 6

M1 - 064422

ER -

Perez-Reche FJ, Rosinberg ML, Tarjus G. Numerical approach to metastable states in the zero-temperature random-field Ising model. Physical Review B. 2008 Feb;77(6). 064422. Available from, DOI: 10.1103/PhysRevB.77.064422