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

Research output: Contribution to journal › Article

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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 languageEnglish
Article numberP10004
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2008
DOIs
StatePublished - Oct 2008
Externally publishedYes

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Metastable states
Magnetization
Mean field
Random field
Ising model
Branch
Unstable
metastable state
magnetization
Thermodynamic limit
Probability distribution
Magnetic field
Imply
Curve
thermodynamics
curves
magnetic fields
Thermodynamics

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

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, P10004, 10.2008.

Research output: Contribution to journal › Article

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Rosinberg, ML, Tarjus, G & Perez-Reche, FJ 2008, 'Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0' Journal of Statistical Mechanics: Theory and Experiment, vol 2008, P10004. DOI: 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.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, P10004, 10.2008.

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.

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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

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

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JO - Journal of Statistical Mechanics: Theory and Experiment

T2 - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

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Rosinberg ML, Tarjus G, Perez-Reche FJ. Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0. Journal of Statistical Mechanics: Theory and Experiment. 2008 Oct;2008. P10004. Available from, DOI: 10.1088/1742-5468/2008/10/P10004

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