Direct Numerical Observation of Anomalous Diffusion in Random Media

Details Direct Numerical Observation of Anomalous Diffusion in Random Media Direct Numerical Observation of Anomalous Diffusion in Random Media

1998-03-20

arxiv.org/abs/cond-mat/9803257v2

Physics

Condensed Matter

Statistical Mechanics

J. Phys. A, to appear

Scientific paper

10.1088/0305-4470/31/35/005

We present computer simulations of anomalous diffusion, $< r^2(t) > \sim a t^{1-\delta}$, 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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