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Multifractal current distribution in random diode networks

Haye Hinrichsen·Olaf Stenull·Hans-Karl Janssen
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Abstract

Recently it has been shown analytically that electric currents in a random diode network are distributed in a multifractal manner [O. Stenull and H. K. Janssen, Europhys. Lett. 55, 691 (2001)]. In the present work we investigate the multifractal properties of a random diode network at the critical point by numerical simulations. We analyze the currents running on a directed percolation cluster and confirm the field-theoretic predictions for the scaling behavior of moments of the current distribution. It is pointed out that a random diode network is a particularly good candidate for a possible experimental realization of directed percolation.

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Haye Hinrichsen, Olaf Stenull, Hans-Karl Janssen. 2001-10-17. Multifractal current distribution in random diode networks. https://doi.org/10.1103/physreve.65.045104

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