Statistical Theory of Plasmas Turbulence

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概要

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• We present a statistical theory of intermittency in plasma turbulence based on short-lived coherent structures (instantons). In general, the probability density functions (PDFs) of the flux R are shown to have an exponential scaling P(R) ∝ exp (-cRs ) in the tails. In ion-temperature-gradient turbulence, the exponent takes the value s = 3/2 for momentum flux and s = 3 for zonal flow formation. The value of s follows from the order of the highest nonlinear interaction term and the moments for which the PDFs are computed. The constant c depends on the spatial profile of the coherent structure and other physical parameters in the model. Our theory provides a powerful mechanism for ubiquitous exponential scalings of PDFs, often observed in various tokamaks. Implications of the results, in particular, on structure formation are further discussed.

• 社団法人 プラズマ・核融合学会の論文

著者

• Kim Eun-Jin

  Department of Applied Physics, Hanyang University, Ansan 426-791, Korea

• ANDERSON Johan

  Department of Applied Mathematics, University of Sheffield, Sheffield, S3 7RH, U.K.

• KIM Eun-jin

  Department of Applied Mathematics, University of Sheffield, Sheffield, S3 7RH, U.K.

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• Statistical Theory of Plasmas Turbulence

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