Robert L Jack and Peter Sollich 2008 J. Phys. A: Math. Theor. 41 324001 doi:10.1088/1751-8113/41/32/324001
Robert L Jack1 and Peter Sollich2
Show affiliationsWe 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.
82C21 Dynamic continuum models (systems of particles, etc.)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
82C26 Dynamic and nonequilibrium phase transitions (general)
Soft matter, liquids and polymers
Issue 32 (15 August 2008)
Received 18 October 2007, in final form 10 December 2007
Published 30 July 2008
Robert L Jack and Peter Sollich 2008 J. Phys. A: Math. Theor. 41 324001
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