Trapping and reaction rates on fractals: A random-walk study

A. Blumen*, J. Klafter, G. Zumofen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this Rapid Communication we study random walks on Sierpinski gaskets, which are fractal structures of simple geometry. We determine the probability of the walker to be captured by traps randomly distributed on the gaskets. The general reaction process is modeled through a kinetic approach. The decay laws which we find are smooth extensions to dimensionalities between one and two.

Original languageEnglish
Pages (from-to)6112-6115
Number of pages4
JournalPhysical Review B-Condensed Matter
Issue number10
StatePublished - 1983
Externally publishedYes


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