Anomalous infiltration

Nickolay Korabel, Eli Barkai

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26 Scopus citations


Infiltration of anomalously diffusing particles from one material to another through a biased interface is studied using continuous time random walk and Lévy 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 Lévy walks, which are needed for the calculation of anomalous infiltration.

Original languageEnglish
Article numberP05022
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number5
StatePublished - May 2011


  • diffusion
  • stochastic processes (theory)


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