Scaling behaviour for excitation trapping on fractals

G. Zumofen, A. Blument, J. Klafter

Research output: Contribution to journalLetterpeer-review


We study the decay behaviour of a nearest-neighbour random walker which gets trapped at the first encounter of a sink. As underlying structures they consider fractals (Sierpinski gaskets) and regular lattices and establish the scaling behaviour of the decay law with respect to x=-nd2/ln(1-p), where n is the number of steps, p the sink concentration and d the spectral dimension. The decay scales well for x large. For small x, scaling is reasonable for the gaskets and the linear chain, and rather poor for the square lattice.

Original languageEnglish
Pages (from-to)L479-L485
JournalJournal of Physics A: Mathematical and General
Issue number9
StatePublished - 21 Jun 1984
Externally publishedYes


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