Kinetic description of avalanching systems
Statistical Mechanics
2009-11-11 v2 Other Condensed Matter
Abstract
Avalanching systems are treated analytically using the renormalization group (in the self-organized-criticality regime) or mean-field approximation, respectively. The latter describes the state in terms of the mean number of active and passive sites, without addressing the inhomogeneity in their distribution. This paper goes one step further by proposing a kinetic description of avalanching systems making use of the distribution function for clusters of active sites. We illustrate application of the kinetic formalism to a model proposed for the description of the avalanching processes in the reconnecting current sheet of the Earth magnetosphere.
Keywords
Cite
@article{arxiv.cond-mat/0501567,
title = {Kinetic description of avalanching systems},
author = {M. Gedalin and M. Balikhin and D. Coca and G. Consolini and R. A. Treumann},
journal= {arXiv preprint arXiv:cond-mat/0501567},
year = {2009}
}
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9 pages