## Abstract

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 language | English |
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Article number | P05022 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2011 |

Issue number | 5 |

DOIs | |

State | Published - May 2011 |

## Keywords

- diffusion
- stochastic processes (theory)

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty