Probability density for diffusion on fractals

Jayanth R. Banavar, Jorge F. Willemsen

Research output: Contribution to journalArticle

38 Scopus citations

Abstract

We propose an asymptotic formula for the probability density PF(x,t) that a random walker starts at an arbitrary origin on a fractal at time 0 and arrives at site x at time t. We have numerically verified the proposed form for PF by testing a composition rule for probabilities which requires that the walker must have been on some site of the fractal at any intermediate time. We further write a Wiener integral representation of PF.

Original languageEnglish (US)
Pages (from-to)6778-6779
Number of pages2
JournalPhysical Review B
Volume30
Issue number11
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Probability density for diffusion on fractals'. Together they form a unique fingerprint.

  • Cite this