MULTIFRACTALITY OF THE CURRENT DISTRIBUTION IN DIRECTED PERCOLATION

We investigate numerically the distribution of currents in a two-dimensional diode network at the directed percolation threshold. We 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.