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

S. W.Y. Tam, T. Chang, S. C. Chapman, N. W. Watkins

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1367-1370
Number of pages4
JournalGeophysical Research Letters
Volume27
Issue number9
DOIs
Publication statusPublished - 2000 May 1

Fingerprint

avalanche
avalanches
power law
analogs
power law distribution
magnetotails
group theory
magnetotail
suggestion
indication
statistics
analysis
index
energy

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Earth and Planetary Sciences(all)

Cite this

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Analytical determination of power-law index for the Chapman et al. Sandpile (FSOC) analog for magnetospheric activity - a renormalization-group analysis. / Tam, S. W.Y.; Chang, T.; Chapman, S. C.; Watkins, N. W.

In: Geophysical Research Letters, Vol. 27, No. 9, 01.05.2000, p. 1367-1370.

Research output: Contribution to journalArticle

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