Fractal to Euclidean crossover and scaling for random walkers on percolation clusters
- 15 July 1984
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 81 (2) , 1015-1018
- https://doi.org/10.1063/1.447736
Abstract
Simulations of random walkers on two‐dimensional (square lattice) percolation clusters were performed for a range of occupation probabilities from critical to unity. The number of distinct sites visited, over 2×105 steps, shows the conjectured scaling, crossover and superuniversaility (ds=4/3, within 1%) behavior over a wide range of site occupation probabilities. Possible deviations from superuniversality and/or scaling are discussedKeywords
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