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Title: Numerical approach to metastable states in the zero-temperature random-field Ising model
Authors: Perez-Reche, Francisco J.
Rosinberg, Martin L.
Tarjus, Gilles
Affiliation: University of Abertay Dundee. School of Contemporary Sciences
University of Abertay Dundee. Scottish Informatics, Mathematics, Biology and Statistics Centre
Keywords: Ising model
Issue Date: Feb-2008
Publisher: American Physical Society
Type: Journal Article
Refereed: peer-reviewed
Rights: This is the author's final version of this article. Published version (c)American Physical Society, available from http://dx.doi.org/10.1103/PhysRevB.77.064422
Citation: Perez-Reche, F.J., Rosinberg, M.L. and Tarjus, G. 2008. Numerical approach to metastable states in the zero-temperature random-field Ising model. Physical Review B. 77(6): 064422. Available from http://dx.doi.org/10.1103/PhysRevB.77.064422
Abstract: We study numerically the number of single-spin-flip stable states in the T=0 random field Ising model on random regular graphs of connectivity z=2 and z=4 and on the cubic lattice. The annealed and quenched complexities (i.e., the entropy densities) of the metastable states with given magnetization are calculated as a function of the external magnetic field. The results show that the appearance of a (disorder-induced) out-of-equilibrium phase transition in the magnetization hysteresis loop at low disorder can be ascribed to a change in the distribution of the metastable states in the field-magnetization plane.
URI: http://hdl.handle.net/10373/1126
ISSN: 0031-9007
Appears in Collections:SIMBIOS Collection

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