PMID: 15245058Jul 13, 2004Paper

Phase transitions in a disordered system in and out of equilibrium

Physical Review Letters
Francesca ColaioriStefano Zapperi

Abstract

The equilibrium and nonequilibrium disorder-induced phase transitions are compared in the random-field Ising model. We identify in the demagnetized state the correct nonequilibrium hysteretic counterpart of the T=0 ground state, and present evidence of universality. Numerical simulations in d=3 indicate that exponents and scaling functions coincide, while the location of the critical point differs, as corroborated by exact results for the Bethe lattice. These results are of relevance for optimization, and for the generic question of universality in the presence of disorder.

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Citations

Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ferdinando Mancini, Adele Naddeo
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yang Liu, Karin A Dahmen
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroki Ohta, Shin-Ichi Sasa
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Suman Sinha, Pradipta Kumar Mandal
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pradipta Kumar Mandal, Suman Sinha

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