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Analytical theory for probability distribution function of structure formation

Anderson, J. and Kim, E. (2008) Analytical theory for probability distribution function of structure formation. Physics of Plasmas, 15 (8). Art. No. 082312. ISSN 1070-664X

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Abstract

The probability distribution function (PDF) tails of the zonal flow structure formation and the PDF tails of momentum flux are computed by incorporating the effect of a shear flow in ion-temperature-gradient (ITG) turbulence. The bipolar vortex soliton (modon) is assumed to be the coherent structure responsible for bursty and intermittent events driving the PDF tails. It is found that stronger zonal flows are generated in ITG turbulence than Hasegawa–Mima turbulence, as well as further from marginal stability. This suggests that although ITG turbulence has a higher level of heat flux, it also more likely generates stronger zonal flows, leading to a self-regulating system. It is also shown that shear flows can significantly reduce the PDF tails of Reynolds stress and structure formation.

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 13:39
Last Modified: 07 Jun 2010 11:10
Published Version: http://dx.doi.org/doi:10.1063/1.2973177
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.2973177
URI: http://eprints.whiterose.ac.uk/id/eprint/10512

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