TITLE

Macroscopic control parameter for avalanche models for bursty transport

AUTHOR(S)
Chapman, S. C.; Rowlands, G.; Watkins, N. W.
PUB. DATE
January 2009
SOURCE
Physics of Plasmas;Jan2009, Vol. 16 Issue 1, pN.PAG
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
36377661

 

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