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Non-perturbative statistical theory of intermittency in ITG drift wave turbulence with zonal flows

Anderson, J. and Kim, E. (2009) Non-perturbative statistical theory of intermittency in ITG drift wave turbulence with zonal flows. Nuclear Fusion, 49 (7). 075027-1. ISSN 0029-5515

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Abstract

The probability distribution functions (PDFs) of momentum flux and zonal flow formation in ion-temperature-gradient (ITG) turbulence are investigated in two different models. The first is a general five-field model (ni, , Ti, Te, vi) where a reductive perturbation method is used to derive dynamical equations for drift waves and a zonal flow. The second is a reduced two-field model (, Ti) that has an exact non-linear solution (bipolar vortex soliton). In both models the exponential tails of the zonal flow PDFs are found with the same scaling ( ), but with different coefficients cZF. The PDFs of momentum flux is, however, found to be qualitatively different with the scaling (PDF ~ exp{−cMRs}), where s = 2 and s = 3/2 in the five and two-field models, respectively.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 IOP Science. This is an author produced version of a paper subsequently published in Nuclear Fusion. Uploaded in accordance with the publisher's self-archiving policy.
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: 29 Mar 2010 11:23
Last Modified: 06 Jun 2014 12:41
Published Version: http://dx.doi.org/10.1088/0029-5515/49/7/075027
Status: Published
Publisher: IOP Science
Identification Number: 10.1088/0029-5515/49/7/075027
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10503

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