Analytical theory of the probability distribution function of structure formation

Johan Anderson; Eun Jin Kim

doi:10.1063/1.2973177

Analytical theory of the probability distribution function of structure formation

Johan Anderson, Eun Jin Kim

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Article number	082312
Journal	Physics of Plasmas
Volume	15
Issue number	8
DOIs	https://doi.org/10.1063/1.2973177
Publication status	Published - 8 Sep 2008
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)
Condensed Matter Physics

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10.1063/1.2973177

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AB - 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.

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