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Structure-based statistical theory of intermittency

Anderson, J. and Kim, E. (2008) Structure-based statistical theory of intermittency. Physics of Plasmas, 15 (11). Art. No. 114506. ISSN 1070-664X

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Abstract

general statistical theory of the intermittency in turbulence based on short-lived coherent structures (instantons) is presented. The probability density functions (PDFs) of the flux R are shown to have an exponential scaling P(R)∝exp(−cRs) in the tails, with the exponent s = (n+1)/m. Here, n and m are the order of the highest nonlinear interaction term and moments for which the PDFs are computed, respectively; c is constant depending on spatial profile of the coherent structure. The results can have important implications for understanding the universality often observed in simulations and experiments.

Item Type: Article
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Mrs Megan Hobbs
Date Deposited: 17 Mar 2010 13:09
Last Modified: 07 Jun 2010 11:09
Published Version: http://dx.doi.org/10.1063/1.3033751
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.3033751
URI: http://eprints.whiterose.ac.uk/id/eprint/10505

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