Random walks on ultrametric spaces: Low temperature patterns

A. Blumen, G. Zumofen, J. Klafter

Research output: Contribution to journalLetterpeer-review

15 Scopus citations


We present the numerically determined distribution of the number of sites visited by thermally activated walkers on ultrametric spaces, which mimic the energetic disorder found in amorphous materials. At high temperatures the results resemble those found for Sierpinski-type fractals. At low temperatures, the distributions are highly structured, showing discontinuities which increase with the number of steps, in contrast to an intuitive picture that would lead to smoothing. We apply the results to the energy transfer in disordered systems and study the decay due to trapping.

Original languageEnglish
Pages (from-to)L861-L868
JournalJournal of Physics A: Mathematical and General
Issue number14
StatePublished - 1 Oct 1986
Externally publishedYes


Dive into the research topics of 'Random walks on ultrametric spaces: Low temperature patterns'. Together they form a unique fingerprint.

Cite this