Statistical theory of subcritically-excited strong turbulence in inhomogeneous plasmas. I

Sanae Itoh, Kimitaka Itoh

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A statistical description is developed for a self-sustained subcritical turbulence in inhomogeneous plasmas. Interchange mode in the presence of inhomogeneous magnetic field, which reveals a submarginal strong turbulence, is considered. Nonlinear dispersion relation is extended to a Langevin equation for a dressed test mode, in which nonlinear interactions are kept as renormalized drag and random self noise. Based upon the assumption that the random noise has a faster time scale, the solutions are obtained for the fluctuation level, decorrelation rate, auto- and cross-correlation functions and spectrum. They are expressed as nonlinear functions of non-equilibrium parameters like gradient. Extended fluctuation-dissipation theorem (Einstein relation) is described as statistical relations. Then the Langevin equation is reformulated into a Fokker-Planck equation of the probability distribution function. The steady state probability function is solved. Imposing the constraint of the self-noise, the power-law distribution with respect to the fluctuation amplitude is obtained in the tail of the distribution function.

Original languageEnglish
Pages (from-to)1891-1906
Number of pages16
Journaljournal of the physical society of japan
Volume68
Issue number6
DOIs
Publication statusPublished - Jan 1 1999

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turbulence
probability distribution functions
Fokker-Planck equation
random noise
cross correlation
autocorrelation
drag
dissipation
theorems
distribution functions
gradients
magnetic fields
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Statistical theory of subcritically-excited strong turbulence in inhomogeneous plasmas. I. / Itoh, Sanae; Itoh, Kimitaka.

In: journal of the physical society of japan, Vol. 68, No. 6, 01.01.1999, p. 1891-1906.

Research output: Contribution to journalArticle

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