### 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 language | English |
---|---|

Article number | 064422 |

Number of pages | 13 |

Journal | Physical Review B Condensed Matter and Materials Physics |

Volume | 77 |

Issue number | 6 |

DOIs | |

Publication status | Published - 20 Feb 2008 |

### Cite this

*Physical Review B Condensed Matter and Materials Physics*,

*77*(6), [064422]. https://doi.org/10.1103/PhysRevB.77.064422

**Numerical approach to metastable states in the zero-temperature random-field Ising model.** / Perez-Reche, F. J.; Rosinberg, M. L.; Tarjus, G.

Research output: Contribution to journal › Article

*Physical Review B Condensed Matter and Materials Physics*, vol. 77, no. 6, 064422. https://doi.org/10.1103/PhysRevB.77.064422

}

TY - JOUR

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

AU - Perez-Reche, F. J.

AU - Rosinberg, M. L.

AU - Tarjus, G.

PY - 2008/2/20

Y1 - 2008/2/20

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 Condensed Matter and Materials Physics

JF - Physical Review B Condensed Matter and Materials Physics

SN - 1098-0121

IS - 6

M1 - 064422

ER -