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Multifractal current distribution in random diode networks

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arxiv cond-mat/0110343 v1 pith:B2ZZDCVM submitted 2001-10-17 cond-mat.stat-mech

Haye Hinrichsen , Olaf Stenull , Hans-Karl Janssen This is my paper · ORCID
classification cond-mat.stat-mech
keywords dioderandommultifractalnetworkcurrentcurrentsdirecteddistribution
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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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