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Multifractal current distribution in random-diode networks

Haye Hinrichsen, Olaf Stenull, and Hans-Karl Janssen
Phys. Rev. E 65, 045104(R) – Published 5 April 2002
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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 paper 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.

  • Received 18 October 2001

DOI:https://doi.org/10.1103/PhysRevE.65.045104

©2002 American Physical Society

Authors & Affiliations

Haye Hinrichsen1, Olaf Stenull2,3, and Hans-Karl Janssen2

  • 1Theoretische Physik, Fachbereich 8, Universität GH Wuppertal, 42097 Wuppertal, Germany
  • 2Institut für Theoretische Physik III, Heinrich-Heine-Universität, Universitätsstrasse 1, 40225 Düsseldorf, Germany
  • 3Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104-6396

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Issue

Vol. 65, Iss. 4 — April 2002

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