Off-Threshold Multifractality in Percolation

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Abstract
The occurrence of multifractality in the current distribution of percolative random resistor network is considered away from threshold, for finite-size lattices. This analysis reveals that, when such a quantity is integrated from the homogeneous state to the percolation threshold, the distribution shows two power-law behaviours, for large and for small currents. The exponents of these power-laws are universal and related to the multifractal spectrum by a simple geometrical construction. We test and verify our analysis on a simple model by means of numerical simulations.