350 research outputs found
Strong turbulence, self-organization and plasma confinement
No full textThis 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
Newton Type Methods for Solving Finite-ELement Space, Euler-Implicit Time Discretization of the Hasegawa-Mima Equation
No full textHasegawa-Mima was derived by Akira Hasegawa and Kunioki Mima during late 70s. When normalized, it can be put as the following PDE that is third order in space and first order in time: ∆ u_t + u_t={u, ∆ u} +{p,u}
In a recent work, this equation was reformulated as a coupled system and put in variational form.
Also, a continuous Time Integral Formulation was derived over any time interval. Consequently, a finite element space semi-discretization followed by Euler-Implicit time discretization was obtained and extensively studie
Envelope Solutions for Random Phase Plasmons(非線型非平衡統計力学研究会報告,基研研究会報告)
No full textこの論文は国立情報学研究所の電子図書館事業により電子化されました
セツドウオウケタキドウノコウカニヨルヨワイランリュウノリロンノホセイ
No full text京都大学0048新制・課程博士理学博士甲第1340号理博第285号新制||理||177(附属図書館)3891UT51-48-E557京都大学大学院理学研究科物理学第一専攻(主査)教授 田中 茂利, 教授 巽 友正, 教授 富田 和久, 教授 松原 武生学位規則第5条第1項該当Kyoto UniversityDA
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