### 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 |
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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

Perez-Reche, F. J., Rosinberg, M. L., & Tarjus, G. (2008). Numerical approach to metastable states in the zero-temperature random-field Ising model.

*Physical Review B Condensed Matter and Materials Physics*,*77*(6), [064422]. https://doi.org/10.1103/PhysRevB.77.064422