Anomalous diffusion on percolating clusters

Yuval Gefen*, Amnon Aharony, Shlomo Alexander

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

897 Scopus citations

Abstract

The mean square distance reached after t random-walk steps on a percolating cluster is shown to behave as t2(2+θ) (instead of t) for short times (for which the cluster is seen to be self-similar). The exponent θ is related to that describing the dc conductivity near percolation. Averaging over all clusters yields the ac conductivity and dielectric constant near percolation in the high-frequency limit, when the polarization of the medium is unimportant.

Original languageEnglish
Pages (from-to)77-80
Number of pages4
JournalPhysical Review Letters
Volume50
Issue number1
DOIs
StatePublished - 1983

Funding

FundersFunder number
Slovak Grant Agency for 11990177f

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