PERCOLATIVE CONDUCTION IN 3 DIMENSIONS

We employ finite-size scaling to analyze the critical behavior of large [up to (80)3] three-dimensional random resistor lattices. The ratio of the conductivity exponent t to the correlation length exponent is found to be t=2.2760.012. Combining this with the accepted value =0.880.02 gives t=2.0030.047, very close to the upper bound t=2 recently proposed by Golden. Studying the connectivity of lattices up to (200)3, we estimate that the bond percolation threshold pc=0.2488 30.000 05, slightly smaller than some recent estimates, and have also confirmed the accepted value of 1990 The American Physical Society.