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Please use this identifier to cite or link to this item: http://hdl.handle.net/10373/1121

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Title: Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0
Authors: Rosinberg, Martin L.
Tarjus, Gilles
Perez-Reche, Francisco J.
Affiliation: University of Abertay Dundee. School of Contemporary Sciences
University of Abertay Dundee. Scottish Informatics, Mathematics, Biology and Statistics Centre
Keywords: Energy landscapes (theory)
Disordered systems (theory)
Classical phase transitions (theory)
Metastable states
Issue Date: Oct-2008
Publisher: Institute of Physics
Type: Journal Article
Refereed: peer-reviewed
Rights: Rosinberg, M.L., Tarjus, G. and 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. Available from http://dx.doi.org/10.1088/1742-5468/2008/10/P10004. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher-authenticated version is available online at DOI: 10.1088/1742-5468/2008/10/P10004
Citation: Rosinberg, M.L., Tarjus, G. and 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. Available from http://dx.doi.org/10.1088/1742-5468/2008/10/P10004
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 http://dx.doi.org/10.1088/1742-5468/2008/10/P10004
URI: http://hdl.handle.net/10373/1121
ISSN: 1742-5468
Appears in Collections:SIMBIOS Collection

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