Multifractality of the current distribution in directed percolation

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, , Citation J Schmittbuhl et al 1992 J. Phys. A: Math. Gen. 25 2119 DOI 10.1088/0305-4470/25/8/025

0305-4470/25/8/2119

Abstract

The authors investigate numerically the distribution of currents in a two-dimensional diode network at the directed percolation threshold. They obtain the multifractal spectrum of this distribution as well as other scaling properties such as the fractal dimension of the backbone, and the scaling of the conductivity. The analysis of the multifractal spectrum provides information about the singly connected bonds in the lattice.

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10.1088/0305-4470/25/8/025