Anomalous transport in disordered systems under the influence of external fields

Ralf Metzler, Eli Barkai, Joseph Klafter

Research output: Contribution to journalConference articlepeer-review

Abstract

We discuss two models for the description of anomalous diffusion, these being the continuous time random walk scheme, and fractional diffusion equations. We show their interrelations, and combine both approaches for the description of anomalous transport in constant external velocity and force fields. For an arbitrary external force F(x), we introduce a fractional Fokker-Planck equation, which generalises the two Einstein relations.

Original languageEnglish
Pages (from-to)343-350
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume266
Issue number1-4
DOIs
StatePublished - 15 Apr 1999
EventProceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger
Duration: 14 Jul 199817 Jul 1998

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