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

Johan Anderson, Eun Jin Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)

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,φTe, 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 (φ, 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 (PDF ∼ exp{?cZFφ3ZF}), but with different coefficients c ZF. 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.

Original languageEnglish
Article number075027
JournalNuclear Fusion
Volume49
Issue number7
DOIs
Publication statusPublished - 1 Jul 2009
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Nuclear and High Energy Physics

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