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Macroscopic control parameter for avalanche models of bursty transport

Chapman, S. C.; Rowlands, G.; Watkins, N.W.. 2009 Macroscopic control parameter for avalanche models of bursty transport. Physics of Plasmas, 16, 012303. 7, pp. 10.1063/1.3057392

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Abstract/Summary

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: Publication - Article
Digital Object Identifier (DOI): 10.1063/1.3057392
Programmes: BAS Programmes > Global Science in the Antarctic Context (2005-2009) > Natural Complexity Programme
ISSN: 1070-664X
NORA Subject Terms: Physics
Mathematics
Related URLs:
Date made live: 02 Mar 2009 11:57
URI: http://nora.nerc.ac.uk/id/eprint/6049

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