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Predicting PDF tails of flux in plasma sheath region

Anderson, J. and Kim, E.J. (2010) Predicting PDF tails of flux in plasma sheath region. Plasma Physics and Controlled Fusion, 52 (1). Art. no.012001. ISSN 0741-3335

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This letter provides the first prediction of the probability density function (PDF) of flux R in plasma sheath region in magnetic fusion devices which is characterized by dynamical equations with exponential non-linearities. By using a non-perturbative statistical theory (instantons), the PDF tails of first moment are shown to be a modified Gumbel distribution which represents a frequency distribution of the extreme values of the ensemble. The non-Gaussian PDF tails that may be enhanced over Gaussian predictions are the result of intermittency caused by short lived coherent structures (instantons).

Item Type: Article
Copyright, Publisher and Additional Information: © 2010 Institute of Physics. This is an author produced version of a paper subsequently published in Plasma Physics and Conrolled Fusion. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Probability-Distribution Function; Drift-Wave Turbulence; Edge Turbulence; Fusion Devices; Transport; Intermittency; Instantons
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 16 Feb 2010 10:09
Last Modified: 16 Nov 2015 11:48
Published Version: http://dx.doi.org/10.1088/0741-3335/52/1/012001
Status: Published
Publisher: Institute of Physics
Refereed: Yes
Identification Number: 10.1088/0741-3335/52/1/012001
URI: http://eprints.whiterose.ac.uk/id/eprint/10362

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