<RESEARCH REPORT>Magnetohydrodynamic Equilibrium and Stability of Spheromak with Spheroidal Plasma-Vacuum Interface
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- KANEKO Shobu
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo
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- KAMITANI Atsushi
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo
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- TAKIMOTO Akio
- Central Research Laboratories, Matsushita Electric Industrial Co., Ltd.
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説明
The analytic solutions to the Grad-Shafranov equation are obtained for a prolate and an oblate spheroidal plasma by using Hill's vortex model. Effects of a toroidal magnetic field B_ℒ on the MHD equilibrium configurations are investigated by using these analytic solutions. When B_ℒ is larger than that of the force-free configuration, the spheroidal plasmas in a vacuum magnetic field are shown to be unable in the MHD equilibrium. The several physical quantities on the equilibrium configuration are evaluated. The spheromak plasma is proved to be unstable if dp/dψ=⃥0 and d^2V/dψ^2≥0 on the magnetic axis. Here p is the pressure and V(ψ) the volume surrounded by a magnetic surface of ψ=const. The equilibrium configurations of the spheroidal plasmas by using Hill's vortex model are shown to satisfy the above conditions, i.e., to be unstable.
収録刊行物
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- Research report
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Research report 732 1-31, 1985-05
核融合科学研究所
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詳細情報 詳細情報について
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- CRID
- 1573387451604540672
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- NII論文ID
- 110000012018
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- NII書誌ID
- AA0081640X
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- ISSN
- 04694732
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- 本文言語コード
- en
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- データソース種別
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