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Macroscopic control parameter for avalanche models for bursty transport
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Chapman, Sandra C., Rowlands, G. (George) and Watkins, Nicholas W. (2009) Macroscopic control parameter for avalanche models for bursty transport. Physics of Plasmas, Vol.16 (No.1). doi:10.1063/1.3057392 ISSN 1070-664X.
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Official URL: http://dx.doi.org/10.1063/1.3057392
Abstract
Similarity analysis is used to identify the control parameter RA for the subset of avalanching systems that can exhibit self-organized criticality (SOC). This parameter expresses the ratio of driving to dissipation. The transition to SOC, when the number of excited degrees of freedom is maximal, is found to occur when RA-->0. This is in the opposite sense to (Kolmogorov) turbulence, thus identifying a deep distinction between turbulence and SOC and suggesting an observable property that could distinguish them. A corollary of this similarity analysis is that SOC phenomenology, that is, power law scaling of avalanches, can persist for finite RA with the same RA-->0 exponent if the system supports a sufficiently large range of lengthscales, necessary for SOC to be a candidate for physical (RA finite) systems.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Geophysics -- Data processing, Similarity (Physics), self-organizing systems | ||||
Journal or Publication Title: | Physics of Plasmas | ||||
Publisher: | American Institute of Physics | ||||
ISSN: | 1070-664X | ||||
Official Date: | 13 January 2009 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.1 | ||||
DOI: | 10.1063/1.3057392 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Science and Technology Facilities Council (Great Britain) (STFC), Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF) | ||||
Grant number: | PHY05- 51164 (NSF) |
Data sourced from Thomson Reuters' Web of Knowledge
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