Fractional Dynamics in Random Velocity Fields
- 12 October 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 81 (15), 3140-3143
- https://doi.org/10.1103/physrevlett.81.3140
Abstract
We develop an iterative approach, from which an exact systematic calculation of the moments of the probability density of test particles, under a generalized Fickian evolution and in the presence of a stratified random velocity field, can be calculated. The type of fractional diffusion-advection equation studied is useful for transport in anisotropic and heterogeneous media. Our method stresses the relevance of the coupling between anomalous diffusion and convection by stratified random velocity fields.This publication has 35 references indexed in Scilit:
- Random walk on a 2D anisotropic percolation networkPhysica A: Statistical Mechanics and its Applications, 1998
- Theory of anomalous chemical transport in random fracture networksPhysical Review E, 1998
- Continuous time random walks on moving fluidsPhysical Review E, 1997
- Stochastic foundations of fractional dynamicsPhysical Review E, 1996
- Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applicationsPhysics Reports, 1990
- Coherent-medium approximation in the stochastic transport theory of random mediaPhysical Review B, 1981
- Excitation dynamics in random one-dimensional systemsReviews of Modern Physics, 1981
- Conduction in anisotropic disordered systems: Effective-medium theoryPhysical Review B, 1974
- Percolation and ConductionReviews of Modern Physics, 1973
- Stochastic Transport in a Disordered Solid. I. TheoryPhysical Review B, 1973