Abstract
Using Monte Carlo simulation, random walks on a two-dimensional Sierpinski gasket in the presence of an external field were studied. It was observed that the random walk motion of a particle displayed a crossover from anomalous diffusion to drift for a non-zero bias field, and the crossover time tcr was a decreasing function of the external bias field. The associated dynamic exponents obtained in a computer simulation agree with the predictions of Stinchcombe's scaling treatment (1985).
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