Precise determination of the conductivity exponent of 3d percolation using "Percola"

Abstract

Using 20 months of CPU time on our special purpose computer ``Percola'' we determined the exponent for the normal conductivity at the threshold of three-dimensional site and bond percolation. The extrapolation analysis taking into account the first correction to scaling gives a value of t/ν= 2.26 0.04 and a correction exponent ω around 1.4.

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