Paradoxes of Subdiffusive Infiltration in Disordered Systems

Details Paradoxes of Subdiffusive Infiltration in Disordered Systems Paradoxes of Subdiffusive Infiltration in Disordered Systems

2010-01-27

arxiv.org/abs/1001.4982v1

Phys. Rev. Lett. 104, 170603 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.104.170603

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 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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