Critical exponent for 3-D percolation conductivity, revisited

Abstract

When we apply finite-size-scaling analysis to Monte-Carlo calculations of the electrical conductivity of simple-cubic, bond- and site-percolation lattices, we obtain a correlation-length critical exponent in good agreement with current values but, for the conductivity exponent, we find t = 2.06 ± 0.16, significantly higher than the value currently cited. This new value appears, however, in essential agreement with a recently proposed theoretical conjecture