Understanding Scale Invariance in a Minimal Model of Complex Relaxation Phenomena

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dc.creatorHurtado, P. I.
dc.creatorMarro, J.
dc.creatorGarrido, P. L.
dc.date2004-04-20
dc.date2006-02-09
dc.date.accessioned2026-07-07T06:36:33Z
dc.date.available2026-07-07T06:36:33Z
dc.descriptionWe report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i.e., the model evolution is discontinuous and displays many scales in a way that closely resembles the relaxation in a large number of complex systems in nature. Such apparent scale invariance simply results in the model from summing over many exponential relaxations, each with a scale which is determined by the curvature of the domain wall at which the avalanche originates. The claim that scale invariance in a nonequilibrium setting is to be associated with criticality is therefore not supported. Some hints that may help in checking this experimentally are discussed.
dc.description9 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0404477
dc.identifierhttp://arxiv.org/abs/cond-mat/0404477
dc.identifierJ. Stat. Mech. (2006) P02004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100116
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleUnderstanding Scale Invariance in a Minimal Model of Complex Relaxation Phenomena
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