### Abstract

Original language | English |
---|---|

Article number | 064422 |

Number of pages | 15 |

Journal | Physical Review B |

Volume | 77 |

Issue number | 6 |

DOIs | |

State | Published - Feb 2008 |

Externally published | Yes |

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### Cite this

*Physical Review B*,

*77*(6), [064422]. DOI: 10.1103/PhysRevB.77.064422

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*Physical Review B*, vol 77, no. 6, 064422. DOI: 10.1103/PhysRevB.77.064422

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

Research output: Contribution to journal › Article

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 -