Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System

Details Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System

1997-02-02

arxiv.org/abs/cond-mat/9702015v1

Physics

Condensed Matter

4 pages, RevTex, includes 3 PostScript figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.4950

We present a continuous time random walk model for the scale-invariant transport found in a self-organized critical rice pile [Christensen et al., Phys. Rev. Lett. 77, 107 (1996)]. From our analytical results it is shown that the dynamics of the experiment can be explained in terms of L\'evy flights for the grains and a long-tailed distribution of trapping times. Scaling relations for the exponents of these distributions are obtained. The predicted microscopic behavior is confirmed by means of a cellular automaton model.

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