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 journalArticlepeer-review

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

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Earth and Planetary Sciences(all)

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