Scaling Behavior of Multifractal-moment Distributions Near Criticality

TitleScaling Behavior of Multifractal-moment Distributions Near Criticality
Publication TypeJournal Article
Year of Publication1993
AuthorsAlbinet, G, Tremblay, A-MS, Tremblay, A-MS
JournalJournal De Physique I
Volume3
Pagination323–330
Abstract

Sample to sample fluctuations of the multifractal moments of percolating random-resistor networks are studied via Monte Carlo simulations. For systems of size L, these fluctuations depend on DELTAp, the deviation from the critical concentration, only through the scaled variable DELTApL1/nu. At DELTAp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL(phi). This is consistent with a previously proposed scaling ansatz for the joint probability distribution of multifractal moments. In the DELTAp not-equal 0 direction, the relative fluctuations are largest when the bulk correlation length is of the order of L.

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