Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System
Condensed Matter
2016-08-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9702015,
title = {Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System},
author = {Marian Boguna and Alvaro Corral},
journal= {arXiv preprint arXiv:cond-mat/9702015},
year = {2016}
}
Comments
4 pages, RevTex, includes 3 PostScript figures, submitted to Phys. Rev. Lett