Kinetic description of avalanching systems

Details Kinetic description of avalanching systems Kinetic description of avalanching systems

2005-01-24

arxiv.org/abs/cond-mat/0501567v2

Physics

Condensed Matter

Statistical Mechanics

9 pages

Scientific paper

10.1103/PhysRevE.72.037103

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.

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