Current distribution in the three-dimensional random resistor network at the percolation threshold

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, e.g., that t/ν=2.282(5), where t is the conductivity exponent and ν is the correlation length exponent. © 1996 The American Physical Society.