Abstract
A scaling analysis is performed on Monte Carlo simulations of random walks on percolation clusters both above and below the threshold pc. The average diffusion constant is described by a single scaling function in which the crossover from an algebraic decay (in time) near pc to the asymptotic behavior above or below it occurs at time tcross |p-pc|-(2-+). 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1730-1733 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1983 |