Generalized diffusion equation for anisotropic anomalous diffusion
Generalized diffusion equation for anisotropic anomalous diffusion
Motivated by studies of comblike structures, we present a generalization of the classical diffusion equation to model anisotropic, anomalous diffusion. We assume that the diffusive flux is given by a diffusion tensor acting on the gradient of the probability density, where each component of the diffusion tensor can have its own scaling law. We also assume scaling laws that have an explicit power-law dependence on space and time. Solutions of the proposed generalized diffusion equation are consistent with previously derived asymptotic results for the probability density on comblike structures.
061103-[4pp]
Sellers, S.
00e24f0b-3a31-46b1-9da4-fba8052c85c6
Barker, J.A.
33bf9dec-cc9b-451c-8192-46099e316b6d
6 December 2006
Sellers, S.
00e24f0b-3a31-46b1-9da4-fba8052c85c6
Barker, J.A.
33bf9dec-cc9b-451c-8192-46099e316b6d
Sellers, S. and Barker, J.A.
(2006)
Generalized diffusion equation for anisotropic anomalous diffusion.
Physical Review E, 74 (6), .
(doi:10.1103/PhysRevE.74.061103).
Abstract
Motivated by studies of comblike structures, we present a generalization of the classical diffusion equation to model anisotropic, anomalous diffusion. We assume that the diffusive flux is given by a diffusion tensor acting on the gradient of the probability density, where each component of the diffusion tensor can have its own scaling law. We also assume scaling laws that have an explicit power-law dependence on space and time. Solutions of the proposed generalized diffusion equation are consistent with previously derived asymptotic results for the probability density on comblike structures.
This record has no associated files available for download.
More information
Published date: 6 December 2006
Identifiers
Local EPrints ID: 48116
URI: http://eprints.soton.ac.uk/id/eprint/48116
ISSN: 1539-3755
PURE UUID: 6f1e6362-6c3e-42ad-977f-795b2e9358cb
Catalogue record
Date deposited: 30 Aug 2007
Last modified: 15 Mar 2024 09:43
Export record
Altmetrics
Contributors
Author:
S. Sellers
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics