Direct Numerical Observation of Anomalous Diffusion in Random Media
Abstract
We present computer simulations of anomalous diffusion, < r2(t) > a t1-δ, in two dimensions. The Monte Carlo calculations are in excellent agreement with previous renormalization group calculations. Interestingly, use of a high quality pseudo-random number generator is necessary to observe the anomalous diffusion. A linear-feedback, shift-register method leads to incorrect, ballistic motion of the random walkers.
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