Anomalous transport in disordered systems under the influence of external fields

Ralf Metzler, Eli Barkai, Joseph Klafter

Research output: Contribution to journalConference articlepeer-review

71 Scopus citations

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
Externally publishedYes
EventProceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger
Duration: 14 Jul 199817 Jul 1998

Bibliographical note

Funding Information:
RM is Feodor–Lynen fellow of the Alexander von Humboldt Stiftung, Bonn am Rhein, Germany. Financial support from the German Israeli Foundation (GIF) is acknowledged. We thank Igor Sokolov and Theo F. Nonnenmacher for helpful discussions. RM thanks Israela Becker for fruitful comments.

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