Stationary Spectrum of Pseudo-Three-Dimensional Electrostatic Turbulence in Magnetized Plasmas

書誌事項

タイトル別名
  • Stationary Spectrum of Pseudo Three Dim
公開日
1978
DOI
  • 10.1143/jpsj.45.1005
公開者
一般社団法人 日本物理学会

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説明

We present a stationary k-spectrum of pseudo-three-dimensional electrostatic plasma turbulence in a uniform, loss-less, magnetized plasma based on the model equation of Hasegawa and Mima; ∂⁄∂t(φ−2φ)+[φ×\hatz·]2φ=0. The k-spectrum for a potential φk is given by ⟨|φk|2⟩=(1+k2)−1(α+βk2)−1, where α and β are constants. The existence of the two constants, α and β, in the spectrum is the consequence of the two rugged constants of motion. The spectrum is obtained using three different methods, namely, the method of Gibbs distribution, of Hopf’s equation and of Wiener Hermite expansion. Because of the similarity of the equation, the obtained spectrum should also apply to the hydrodynamic turbulence of geostrophic vortices.

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