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 language | English |
|---|---|
| Pages (from-to) | 1367-1370 |
| Number of pages | 4 |
| Journal | Geophysical Research Letters |
| Volume | 27 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2000 May 1 |
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All Science Journal Classification (ASJC) codes
- Geophysics
- Earth and Planetary Sciences(all)
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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 journal › Article
TY - JOUR
T1 - Analytical determination of power-law index for the Chapman et al. Sandpile (FSOC) analog for magnetospheric activity - a renormalization-group analysis
AU - Tam, S. W.Y.
AU - Chang, T.
AU - Chapman, S. C.
AU - Watkins, N. W.
PY - 2000/5/1
Y1 - 2000/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034352922&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034352922&partnerID=8YFLogxK
U2 - 10.1029/2000GL000030
DO - 10.1029/2000GL000030
M3 - Article
AN - SCOPUS:0034352922
VL - 27
SP - 1367
EP - 1370
JO - Geophysical Research Letters
JF - Geophysical Research Letters
SN - 0094-8276
IS - 9
ER -