Duality between random trap and barrier models
Peter Sollich
Département de mathématiques, King's College
Mon, Mar. 10th 2008, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We 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.


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