Analytical determination of power-law index for the Chapman et al. sandpile (FSOC) analog for magnetospheric activity - a renormalization-group analysis

Tam, Sunny W. Y.; Chang, Tom; Chapman, S. C.; Watkins, N. W.. 2000 Analytical determination of power-law index for the Chapman et al. sandpile (FSOC) analog for magnetospheric activity - a renormalization-group analysis. Geophysical Research Letters, 27 (9). 1367-1370. https://doi.org/10.1029/2000GL000030

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Abstract/Summary

Recent suggestion and experimental indications that the magnetotail dynamics exhibit self-organized critical behavior have re-motivated interest in sandpile (avalanche) models. Some examples of specific interest for geomagnetic activity have the property that internal avalanches exhibit inverse power law statistics whereas systemwide avalanches have a well-defined mean. Here, we apply the concept of renormalization group to such a model. We demonstrate that invariant analysis based on the renormalization-group theory can explain the power law distribution of energy release by internal avalanches in the large-scale regime of these systems.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1029/2000GL000030
Programmes:	BAS Programmes > Pre 2000 programme
ISSN:	00948276
Additional Keywords:	sandpile, magnetospheric, magnetotail, sandpile models, avalanche models, sand pile
Date made live:	17 Jul 2013 12:31 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/502485

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