Duality between random trap and barrier models

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dc.creatorJack, Robert L.
dc.creatorSollich, Peter
dc.date2007-10-09
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:53:36Z
dc.date.available2026-07-07T09:53:36Z
dc.descriptionWe discuss the physical consequences of a duality between two models with quenched disorder, in which particles propagate in one dimension among random traps or across random barriers. We derive an exact relation between their diffusion fronts at fixed disorder, and deduce from this that their disorder-averaged diffusion fronts are exactly equal. We use effective dynamics schemes to isolate the different physical processes by which particles propagate in the models and discuss how the duality arises from a correspondence between the rates for these different processes.
dc.description15pages, 4figs, IOP format, final version
dc.identifierhttps://arxiv.org/abs/0710.1665
dc.identifierhttp://arxiv.org/abs/0710.1665
dc.identifierJ. Phys. A 41, 324001 (2008)
dc.identifierdoi:10.1088/1751-8113/41/32/324001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166013
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleDuality between random trap and barrier models
dc.typetext

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