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
Publication statusPublished - Oct 2008
Externally publishedYes

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Metastable States
Magnetization
metastable state
Mean Field
Random Field
Ising model
Ising Model
Branch
Unstable
magnetization
Thermodynamic Limit
Probability Distribution
Magnetic Field
Imply
thermodynamics
Curve
curves
magnetic fields
Random field
Thermodynamics

Cite this

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. 2008 ; Vol. 2008.
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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. 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.

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.

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

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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. https://doi.org/10.1088/1742-5468/2008/10/P10004

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