Self similarity and correlations in percolation

A. Kapitulnik, A. Aharony, G. Deutscher, D. Stauffer

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Abstract

The infinite cluster above the percolation threshold is shown by a scaling theory and Monte Carlo simulations to be homogeneous on large length scales (compared with the correlation length). On shorter length scales this cluster is self similar, and its measured fractal dimensionality agrees excellently with the scaling law D=d- beta / nu . The exponents beta and nu are also measured, both from the crossover between the two length scale regions and from correlations near the boundaries.

Original languageEnglish
Article number003
Pages (from-to)L269-L274
JournalJournal of Physics A: Mathematical and General
Volume16
Issue number8
DOIs
StatePublished - 1 Dec 1983
Externally publishedYes

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