Multifractal current distribution in random diode networks
Statistical Mechanics
2009-11-07 v1
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.
Cite
@article{arxiv.cond-mat/0110343,
title = {Multifractal current distribution in random diode networks},
author = {Haye Hinrichsen and Olaf Stenull and Hans-Karl Janssen},
journal= {arXiv preprint arXiv:cond-mat/0110343},
year = {2009}
}
Comments
RevTeX, 4 pages, 5 eps figures