Diffusion on treelike clusters

S. Havlin, R. Nossal, B. Trus, G. H. Weiss

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We present a general relationship between the diffusion exponent dw and the fractal exponents of trees (i.e., clusters without loops), dw=(df/dl)(2+dl-dls) . The exponents df, dl, and dls are the fractal dimension, the intrinsic dimension of the tree, and the intrinsic dimension of its skeleton, respectively. This new result is supported by scaling arguments and numerical data.

Original languageEnglish
Pages (from-to)7497-7499
Number of pages3
JournalPhysical Review B
Issue number11
StatePublished - 1985
Externally publishedYes


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