### Abstract

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

Article number | P10004 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2008 |

DOIs | |

Publication status | Published - Oct 2008 |

Externally published | Yes |

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### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2008*, [P10004]. https://doi.org/10.1088/1742-5468/2008/10/P10004

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*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2008, P10004. https://doi.org/10.1088/1742-5468/2008/10/P10004

**Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0.** / Rosinberg, Martin L.; Tarjus, Gilles; Perez-Reche, Francisco J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0

AU - Rosinberg, Martin L.

AU - Tarjus, Gilles

AU - Perez-Reche, Francisco J.

PY - 2008/10

Y1 - 2008/10

N2 - We compute the probability distribution of the number of metastable states at a given applied field in the mean-field random-field Ising model at T = 0. Remarkably, there is a non-zero probability in the thermodynamic limit of observing metastable states on the so-called 'unstable' branch of the magnetization curve. This implies that the branch can be reached when the magnetization is controlled instead of the magnetic field, in contrast to the situation for the pure system. Available from 10.1088/1742-5468/2008/10/P10004

AB - We compute the probability distribution of the number of metastable states at a given applied field in the mean-field random-field Ising model at T = 0. Remarkably, there is a non-zero probability in the thermodynamic limit of observing metastable states on the so-called 'unstable' branch of the magnetization curve. This implies that the branch can be reached when the magnetization is controlled instead of the magnetic field, in contrast to the situation for the pure system. Available from 10.1088/1742-5468/2008/10/P10004

U2 - 10.1088/1742-5468/2008/10/P10004

DO - 10.1088/1742-5468/2008/10/P10004

M3 - Article

VL - 2008

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

M1 - P10004

ER -