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 journalArticle

  • 2 Citations

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

Fingerprint

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

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, Vol. 2008, P10004, 10.2008.

Research output: Contribution to journalArticle

@article{dad7420151d347a88942b5291cd5cb77,
title = "Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0",
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",
author = "Rosinberg, {Martin L.} and Gilles Tarjus and Perez-Reche, {Francisco J.}",
year = "2008",
month = "10",
doi = "10.1088/1742-5468/2008/10/P10004",
volume = "2008",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",

}

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 journalArticle

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

T2 - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

M1 - P10004

ER -