Transition in multiple-scale-lengths turbulence in plasmas

S. I. Itoh, K. Itoh, M. Yagi, M. Kawasaki, A. Kitazawa

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The statistical theory of strong turbulence in inhomogeneous plasmas is developed for the cases where fluctuations with different scale lengths coexist. Statistical nonlinear interactions between semimicro and micro modes are first kept in the analysis as the drag, noise and drive. The nonlinear dynamics determines both the fluctuation levels and the cross field turbulent transport for the fixed global parameters. A quenching or suppressing effect is induced by their nonlinear interplay, even if both modes are unstable when analyzed independently. Influence of the inhomogeneous global radial electric field is discussed. A new insight is given for the physics of the internal transport barrier. The thermal fluctuation of the scale length of λ D is assumed to be statistically independent. The hierarchical structure is constructed according to the scale lengths. Transitions in turbulence are found and phase diagrams with cusp type catastrophe are obtained. Dynamics is followed. Statistical properties of the subcritical excitation are discussed. The probability density function (PDF) and transition probability are obtained. Power laws are obtained in the PDF as well as in the transition probability. Generalization for the case where turbulence is composed of three classes of modes is also developed. A new catastrophe of turbulent states is obtained.

Original languageEnglish
Pages (from-to)1947-1954
Number of pages8
JournalPhysics of Plasmas
Volume9
Issue number5
DOIs
Publication statusPublished - May 1 2002

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turbulence
probability density functions
transition probabilities
cusps
drag
quenching
diagrams
phase diagrams
physics
electric fields
excitation
interactions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Itoh, S. I., Itoh, K., Yagi, M., Kawasaki, M., & Kitazawa, A. (2002). Transition in multiple-scale-lengths turbulence in plasmas. Physics of Plasmas, 9(5), 1947-1954. https://doi.org/10.1063/1.1455005

Transition in multiple-scale-lengths turbulence in plasmas. / Itoh, S. I.; Itoh, K.; Yagi, M.; Kawasaki, M.; Kitazawa, A.

In: Physics of Plasmas, Vol. 9, No. 5, 01.05.2002, p. 1947-1954.

Research output: Contribution to journalArticle

Itoh, SI, Itoh, K, Yagi, M, Kawasaki, M & Kitazawa, A 2002, 'Transition in multiple-scale-lengths turbulence in plasmas', Physics of Plasmas, vol. 9, no. 5, pp. 1947-1954. https://doi.org/10.1063/1.1455005
Itoh SI, Itoh K, Yagi M, Kawasaki M, Kitazawa A. Transition in multiple-scale-lengths turbulence in plasmas. Physics of Plasmas. 2002 May 1;9(5):1947-1954. https://doi.org/10.1063/1.1455005
Itoh, S. I. ; Itoh, K. ; Yagi, M. ; Kawasaki, M. ; Kitazawa, A. / Transition in multiple-scale-lengths turbulence in plasmas. In: Physics of Plasmas. 2002 ; Vol. 9, No. 5. pp. 1947-1954.
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