TY - JOUR

T1 - Anomalous infiltration

AU - Korabel, Nickolay

AU - Barkai, Eli

PY - 2011/5

Y1 - 2011/5

N2 - 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.

AB - 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.

KW - diffusion

KW - stochastic processes (theory)

UR - http://www.scopus.com/inward/record.url?scp=79958047931&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2011/05/P05022

DO - 10.1088/1742-5468/2011/05/P05022

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AN - SCOPUS:79958047931

SN - 1742-5468

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 5

M1 - P05022

ER -