Biased diffusion in chainlike fractal structures: Universal behaviour

R. Roman; M. Schwartz; A. Bunde; S. Havlin

doi:10.1209/0295-5075/7/5/002

Biased diffusion in chainlike fractal structures: Universal behaviour

R. Roman
, M. Schwartz
, A. Bunde
, S. Havlin

Department of Physics - at Bar-Ilan University

University of Hamburg
Bar-Ilan University
Tel Aviv University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We study diffusion on topologically linear fractal structures under the influence of a uniform external field. Due to the fractal nature of the chain, the uniform field acts on a random walker like random correlated (local) fields in a one-dimensional chain. We find that the mean square displacement of the walker is universal and depends logarithmically on time t as ⟨r²⟩∼ln²t, independent of the fractal dimension of the chain.

Original language	English
Pages (from-to)	389-393
Number of pages	5
Journal	EPL
Volume	7
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/7/5/002
State	Published - 1 Nov 1988

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Biased diffusion in chainlike fractal structures: Universal behaviour

Abstract

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