FRACTIONAL DYNAMICS IN RANDOM VELOCITY-FIELDS

Citation
A. Compte et Mo. Caceres, FRACTIONAL DYNAMICS IN RANDOM VELOCITY-FIELDS, Physical review letters, 81(15), 1998, pp. 3140-3143
Citations number
39
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
81
Issue
15
Year of publication
1998
Pages
3140 - 3143
Database
ISI
SICI code
0031-9007(1998)81:15<3140:FDIRV>2.0.ZU;2-B
Abstract
We develop an iterative approach, from which an exact systematic calcu lation of the moments of the probability density of test particles, un der a generalized Fickian evolution and in the presence of a stratifie d random velocity field, can be calculated. The type of fractional dif fusion-advection equation studied is useful for transport in anisotrop ic and heterogeneous media, Our method stresses the relevance of the c oupling between anomalous diffusion and convection by stratified rando m velocity fields. [S0031-9007(98)07342-6].