Duality between random trap and barrier models

Details Duality between random trap and barrier models Duality between random trap and barrier models

2007-10-09

arxiv.org/abs/0710.1665v2

J. Phys. A 41, 324001 (2008)

Physics

Condensed Matter

Statistical Mechanics

15pages, 4figs, IOP format, final version

Scientific paper

10.1088/1751-8113/41/32/324001

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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