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Current Distribution in the Three-Dimensional Random Resistor Network at the Percolation Threshold

G. George Batrouni·Alex Hansen·Brond Larson
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Abstract

We study the multifractal properties of the current distribution of the three-dimensional random resistor network at the percolation threshold. For lattices ranging in size from $8^3$ to $80^3$ we measure the second, fourth and sixth moments of the current distribution, finding {\it e.g.\/} that $t/ν=2.282(5)$ where $t$ is the conductivity exponent and $ν$ is the correlation length exponent.

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G. George Batrouni, Alex Hansen, Brond Larson. 1995-08-11. Current Distribution in the Three-Dimensional Random Resistor Network at the Percolation Threshold. https://doi.org/10.1103/physreve.53.2292

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