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Strong turbulence, self-organization and plasma confinement

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Abstract

This paper elucidates the close connections between hydrodynamic models of two-dimensional fluids and reduced models of plasma dynamics in the presence of a strong magnetic field. The key element is the similarity of the Coriolis force to the Lorentz force. The reduced plasma model, the Hasegawa–Mima equation, is equivalent to the two-dimensional ion vortex equation. The paper discusses the history of the Hasegawa–Mima model and that of a related reduced system called the Hasegawa–Wakatani model. The 2D fluid ↔ magnetized plasma analogy is exploited to argue that magnetized plasma turbulence exhibits a dual cascade, including an inverse cascade of energy. Generation of ordered mesoscopic flows in plasmas (akin to zonal jets) is also explained. The paper concludes with a brief explanation of the relevance of the quasi-2D dynamics to aspects of plasma confinement physics.

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Authors and Affiliations

  1. Osaka University, Suita, Osaka, Japan

    Akira Hasegawa & Kunioki Mima

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  1. Akira Hasegawa
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  2. Kunioki Mima
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Correspondence to Kunioki Mima.

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Hasegawa, A., Mima, K. Strong turbulence, self-organization and plasma confinement. EPJ H 43, 499–521 (2018). https://doi.org/10.1140/epjh/e2018-90033-4

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