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On the difficulty of determining tearing mode stability

C M Bishop, J W Connor, R J Hastie, S C Cowley1991年Plasma Physics and Controlled FusionIF 2.2出版社

The effect of local pressure gradients and of a local flattening of the pressure profile (p' to 0) around the resonant surface of a tearing mode is investigated in toroidal geometry. It is shown that the stability index Delta ', calculated from the ideal outer region, is modified by local profile changes in a way reminiscent of the favourable curvature stabilization of linear and nonlinear tearing mode layer theory. If the width of the region of pressure flattening is of the order of the linear resistive layer width, the stabilization from the ideal outer region compensates for the loss of pressure gradient stabilization from the layer, and the overall stability of the mode is largely unaffected. For pressure flattening over a larger region, however, the mode can be strongly destabilized. Since the flattening region may then still be too small to resolve experimentally, this result implies the essential difficulty of determining the tearing mode stability of experimental profiles.

日本語訳

局所的な圧力勾配と、トロイダル幾何学におけるテアリングモードの共鳴面周辺での局所的な圧力平坦化(p'→0)の効果を調査する。外部領域から計算される安定性指数Δ'が、局所的な圧力分布の変化によって修正されることが示され、その修正の仕方は、線形および非線形テアリングモード層理論における曲率の安定化効果を想起させるものである。圧力平坦化領域の幅が線形抵抗層の幅と同程度である場合、外部領域からの安定化効果は、層内での圧力勾配による安定化の喪失を補償し、モードの全体的な安定性はほぼ影響を受けない。しかし、圧力平坦化がより広い領域に及ぶ場合、モードは強く不安定化され得る。平坦化領域が実験的に分解するには依然として小さすぎる可能性があることから、この結果は、実験的な圧力分布からテアリングモードの安定性を決定することの本質的な困難さを示唆している。

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Tearing mode
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