Critical exponent of percolation conductivity by finite-size scaling

Calculates the critical exponent of percolation conductivity t for two- and three-dimensional networks by using a finite-size scaling technique. In two dimensions the authors obtain t=1.264+or-0.054, in excellent agreement with the recent transfer-matrix calculation of Derrida and Vannimenus (t=1.28+or-0.03, 1982). In three dimensions the finite-size scaling technique yields t=1.87+or-0.04, in very good agreement with the available experimental data as well as the series expansion estimate of Fisch and Harris (t=1.95+or-0.03, 1977). The results lend support to the recent conjecture of Alexander and Orbach (1982) that relates t to the correlation length exponent v and the percolation probability exponent beta .