Multifractal current distribution in random diode networks

Details Multifractal current distribution in random diode networks Multifractal current distribution in random diode networks

2001-10-17

arxiv.org/abs/cond-mat/0110343v1

Phys. Rev. E - Rapid Comm. 65, 045104 (2002).

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 4 pages, 5 eps figures

Scientific paper

10.1103/PhysRevE.65.045104

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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