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A sawtooth model based on the transport catastrophe

K Itoh, S -I Itoh, A Fukuyama1995年Plasma Physics and Controlled FusionIF 2.2出版社

A new model of the sawtooth, which is not triggered by the m=l helical mode, is proposed. A catastrophic change in the transport coefficient is predicted in the central region, where the safety factor q is lower than unity. The magnetic component in fluctuation increases as the plasma pressure increases. If the pressure gradient exceeds a certain threshold, a magnetic stochasticity sets in. The electron thermal conductivity can be enhanced by the factor of the ion-to-electron mass ratio, leading to the rapid flattening of the electron pressure profile. An enhanced transport coefficient also occurs for ions. The increment of the transport associated with the strong magnetic perturbation continues until the ion pressure profile is flattened. Hysteresis behaviour of transport flux to the pressure gradient is obtained. The current profile is influenced by the enhanced current diffusivity from the same mechanism, but the change in the q profile remains small. Simple model equations which follow the dynamics are introduced. The dynamic solution of sawtooth crash is simulated.

日本語訳

鋸歯状振動の新しいモデルを提案する。これは、m=lのヘリカルモードによって引き起こされるものではない。中心領域では輸送係数の壊滅的な変化が予測され、そこでは安全係数qが1より小さくなる。磁場の擾乱成分はプラズマ圧力の増加とともに増大する。圧力勾配がある閾値を超えると、磁場の確率性が発生する。電子の熱伝導率はイオンと電子の質量比の因子によって増強され、電子圧力プロファイルの急速な平坦化をもたらす。イオンに対しても輸送係数の増強が発生する。強い磁場擾乱に伴う輸送の増分は、イオン圧力プロファイルが平坦化されるまで継続する。圧力勾配に対する輸送フラックスのヒステリシス挙動が得られる。同じメカニズムによる電流拡散率の増強が電流プロファイルに影響を及ぼすが、qプロファイルの変化は小さいままである。ダイナミクスを追跡する単純なモデル方程式が導入される。鋸歯状振動のクラッシュの動的解が提示される。

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Sawtooth oscillation
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