期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/05/P05022
关键词
stochastic processes (theory); diffusion
资金
- Israel Science Foundation
Infiltration of anomalously diffusing particles from one material to another through a biased interface is studied using continuous time random walk and Levy walk approaches. Subdiffusion in both systems may lead to a net drift from one material to another (e. g. < x(t)> > 0) even if particles eventually flow in the opposite direction (e. g. the number of particles in x > 0 approaches zero). A weaker paradox is found for a symmetric interface: a flow of particles is observed while the net drift is zero. For a subdiffusive sample coupled to a superdiffusive system we calculate the average occupation fractions and the scaling of the particle distribution. We find a net drift in this system, which is always directed to the superdiffusive material, while the particles flow to the material with smaller sub-or superdiffusion exponent. We report the exponents of the first passage times distribution of Levy walks, which are needed for the calculation of anomalous infiltration.
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