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

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

doi:10.1088/1742-5468/2008/10/P10004

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

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

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Abstract

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

Original language	English
Article number	P10004
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2008
DOIs	https://doi.org/10.1088/1742-5468/2008/10/P10004
Publication status	Published - Oct 2008
Externally published	Yes

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Rosinberg, M. L., Tarjus, G., & Perez-Reche, F. J. (2008). Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0. Journal of Statistical Mechanics: Theory and Experiment, 2008, [P10004]. https://doi.org/10.1088/1742-5468/2008/10/P10004

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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

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10.1088/1742-5468/2008/10/P10004

Rosinberg_JSTAT2008Accepted author manuscript, 194 KB