Stochastic pathway to anomalous diffusion
- 1 April 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 35 (7) , 3081-3085
- https://doi.org/10.1103/physreva.35.3081
Abstract
We present an appraisal of differential-equation models for anomalous diffusion, in which the time evolution of the mean-square displacement is 〈(t)〉∼ with γ≠1. By comparison, continuous-time random walks lead via generalized master equations to an integro-differential picture. Using Lévy walks and a kernel which couples time and space, we obtain a generalized picture for anomalous transport, which provides a unified framework both for dispersive (γ<1) and for enhanced diffusion (γ>1).
Keywords
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