Scalin behavior of multifractal-moment distributions near criticalityReport as inadecuate

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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 Δp, the deviation from the critical concentration, only through the scaled variable ΔpL1-ν. At Δp=0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hLφ. This is consistent with a previously proposed scaling ansatz for the joint probability distribution of multifractal moments. In the Δp ≠0 direction, the relative fluctuations are largest when the bulk correlation length is of the order of L.

Author: G. Albinet R. Tremblay A.-M.S. Tremblay



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