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Paradoxes of Subdiffusive Infiltration in Disordered Systems

2010/01/27 by Nickolay Korabel, Eli Barkai · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.104.170603

published as Phys. Rev. Lett. 104, 170603 (2010) · 5 pages, 2 figures

arxiv created 2010/01/27 · arxiv updated 2010/05/04

Abstract

Infiltration of diffusing particles from one material to another where the diffusion mechanism is either normal or anomalous is a widely observed phenomena. When the diffusion is anomalous we find interesting behaviors: diffusion may lead to an averaged net drift <x> from one material to another even if all particles eventually flow in the opposite direction, or may lead to a flow without drift. Starting with an underlying continuous time random walk model we solve diffusion equations describing this problem. Similar drift against flow is found in the quenched trap model. We argue that such a behavior is a general feature of diffusion in disordered systems.

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