Chapman, Sandra C. and Watkins, N. W.. (2009) Avalanching systems under intermediate driving rate. Plasma Physics and Controlled Fusion, Vol.51 (No.12). article no. 124006 . ISSN 0741-3335

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Abstract

The paradigm of self-organized criticality (SOC) has found application in understanding scaling and bursty transport in driven, dissipative plasmas. SOC is, however, a limiting process that occurs as the ratio of driving rate to dissipation rate is taken to zero. We consider the more realistic scenario of finite driving rate. Similarity analysis reveals that there is a control parameter R-A which is analogous to the Reynolds number R-E of turbulence in that it relates to the number of excited degrees of freedom, that is, the range of spatio-temporal scales over which one finds scaling behaviour. However for avalanching systems the number of excited degrees of freedom is maximal at the zero driving rate, SOC limit, in the opposite sense to fluid turbulence. Practically, at finite R-E or R-A one observes scaling over a finite range which for turbulence, increases with R-E and for SOC, decreases with increasing R-A, suggesting an observable trend to distinguish them. We use the BTW sandpile model to explore this idea and find that whilst avalanche distributions can, depending on the details of the driving, reflect this behaviour, power spectra do not and thus are not clear discriminators of an SOC state.

Item Type:	Journal Article
Subjects:	Q Science > QB Astronomy Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Magnetosphere, Plasma (Ionized gases), Finite size scaling (Statistical physics), Critical phenomena (Physics)
Journal or Publication Title:	Plasma Physics and Controlled Fusion
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0741-3335
Official Date:	December 2009
Volume:	Vol.51
Number:	No.12
Number of Pages:	9
Page Range:	article no. 124006
Identification Number:	10.1088/0741-3335/51/12/124006
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Version or Related Resource:	Paper presented: 36th European-Physical-Society Conference on Plasma Physics, Natl Palace Culture, Sofia, Bulgaria, 29 Jun - 03 Jul 2009
Conference Paper Type:	Paper
Type of Event:	Conference
URI:	http://wrap.warwick.ac.uk/id/eprint/16914

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