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Interpretation of negative central shear electron internal transport barriers

André L Rogister2006年Plasma Physics and Controlled FusionIF 2.2出版社

Box-type electron temperature profiles observed in negative central shear plasmas with electron internal transport barriers are explained with the help of a novel instability mechanism that is predicted when keeping account of the radial component of the trapped electron gradB and curvature drifts in the theory of the trapped electron mode. These radial velocity components lead to a new term in the quasi-slab radial eigenvalue equation which modifies the asymptotic behaviour in such a way that growing–decaying pairs of bounded solutions are obtained (instead of the usual magnetic shear damped solutions) if . There are no bounded solutions if . As LTe = Te/∂rTe is usually negative, instability requires negative magnetic shear . The driving mechanism is largest for quasi-slab modes in view of the poloidal angle dependence of the radial drift components. The ratio , where Qe is the anomalous electron energy flux and Γe the particle flux, is quite large owing to the non-adiabatic trapped electron response and the condition that must be satisfied to avoid ion Landau damping on the side-bands ( is the electron diamagnetic frequency, l the toroidal mode number, 1/qR the parallel wave vector of the side-bands and the sound speed).

日本語訳

箱型の電子温度分布は、負の中心磁気シアを持つプラズマ中の電子内部輸送障壁で観測され、捕捉電子モードの理論において捕捉電子のgradBドリフトと曲率ドリフトの径方向成分を考慮することで予測される新規の不安定性機構によって説明される。これらの径方向速度成分は、準スラブ径方向固有値方程式に新しい項をもたらし、その項は漸近挙動を、もし の場合には(通常の磁気シア減衰解の代わりに)有界解の成長・減衰ペアが得られるように修正する。もし の場合には有界解は存在しない。LTe = ∂rTe/Te は通常負であるので、不安定性には負の磁気シア が必要である。駆動機構は、径方向ドリフト成分のポロイダル角度依存性を考慮すると、準スラブモードで最大となる。比 は、ここでQeは異常電子エネルギー流束、Γeは粒子流束であるが、非断熱捕捉電子応答と、サイドバンド上のイオンランダウ減衰を避けるために満たされなければならない条件 のために非常に大きい( は電子反磁性周波数、lはトロイダルモード数、1/qRはサイドバンドの平行波数、 は音速である)。

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