Abstract
A scaling analysis is performed on Monte Carlo simulations of random walks on percolation clusters both above and below the threshold . The average diffusion constant is described by a single scaling function in which the crossover from an algebraic decay (in time) near to the asymptotic behavior above or below it occurs at time . The value of the percolation conductivity exponent is found to be 1.05 ±0.05 for two-dimensional systems and 1.5 ±0.1 for three dimensions.
- Received 20 December 1982
DOI:https://doi.org/10.1103/PhysRevA.27.1730
©1983 American Physical Society