Scaling behavior of diffusion on percolation clusters

S. Havlin, D. Ben-Avraham, H. Sompolinsky

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


A scaling analysis is performed on Monte Carlo simulations of random walks on percolation clusters both above and below the threshold pc. The average diffusion constant is described by a single scaling function in which the crossover from an algebraic decay (in time) near pc to the asymptotic behavior above or below it occurs at time tcross |p-pc|-(2-+). The value of the percolation conductivity exponent is found to be 1.05 ±0.05 for two-dimensional systems and 1.5 ±0.1 for three dimensions.

Original languageEnglish
Pages (from-to)1730-1733
Number of pages4
JournalPhysical Review A
Issue number3
StatePublished - 1983


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