Mechanism of stabilization of ballooning modes by toroidal rotation shear in tokamaks.

Mechanism of stabilization of ballooning modes by toroidal rotation shear in tokamaks.
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DOI:
10.1103/physrevlett.94.175001
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发表时间:
2005-05
影响因子:
8.6
通讯作者:
M. Furukawa;S. Tokuda
M. Furukawa;S. Tokuda
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
M. Furukawa;S. Tokuda

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本文将环形旋转托卡马克中的气球微扰展开为与静态等离子体中气球模相关的本征值问题的平方可积本征函数。特别地,选择权函数使得特征值问题仅具有离散谱。由于环向旋转剪切,本征值随时间演化,导致它们之间的交叉数无限。交叉导致能量从不稳定模式转移到无限多的稳定模式;这种转移作为气球模式的稳定机制。
A ballooning perturbation in a toroidally rotating tokamak is expanded by square-integrable eigenfunctions of an eigenvalue problem associated with ballooning modes in a static plasma. Especially a weight function is chosen such that the eigenvalue problem has only the discrete spectrum. The eigenvalues evolve in time owing to toroidal rotation shear, resulting in a countably infinite number of crossings among them. The crossings cause energy transfer from an unstable mode to the infinite number of stable modes; such transfer works as the stabilization mechanism of the ballooning mode.