Disorder-Induced Critical Phenomena in Hysteresis: A Numerical Scaling Analysis

dc.creatorPerkovic, Olga
dc.creatorDahmen, Karin A.
dc.creatorSethna, James P.
dc.date1996-09-06
dc.date.accessioned2026-07-07T03:08:52Z
dc.date.available2026-07-07T03:08:52Z
dc.descriptionExperimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic jump, while for large disorder the hysteresis loop is smooth. The transition between these two shapes is critical, with diverging length scales and power laws. We simulate such a system with the zero temperature random field Ising model, in 2, 3, 4, 5, 7, and 9 dimensions, with systems of up to 1000^3 spins, and find the critical exponents from scaling collapses of several measurements. The numerical results agree well with the analytical predictions from a renormalization group calculation.
dc.description477 kB, 45 pages, 42 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9609072
dc.identifierhttp://arxiv.org/abs/cond-mat/9609072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27665
dc.subjectCondensed Matter
dc.titleDisorder-Induced Critical Phenomena in Hysteresis: A Numerical Scaling Analysis
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