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Theoretical study of the hysteresis characteristic of electric fields in helical plasmas

S Toda, K Itoh2004年Plasma Physics and Controlled FusionIF 2.2出版社

The hysteresis characteristic in the structure of the radial electric field in helical toroidal plasmas is examined using a one-dimensional transport model. The response of the radial electric field Er against the change in the average plasma density ⟨n⟩ is investigated. The hysteresis of Er against the rise and fall of ⟨n⟩ is studied. In the case of a slow change in ⟨n⟩ (i.e. if the change is much slower than the energy confinement time), the hysteresis cannot be found in a one-dimensional analysis, in contrast to its evaluation by use of a local point model. If one studies the dependence of Er at a fixed position robs on the density, Er(robs)[n], the bifurcation nature can be seen in a rapid change of the curvature d2Er(robs)/dn2, where robs denotes the radial observation point. A hysteresis in the response of Er to ⟨n⟩ can be observed, if the characteristic time of the temporal change is much shorter than the typical confinement time.

日本語訳

ヘリカルトーラスプラズマにおける動径電場構造のヒステリシス特性を、一次元輸送モデルを用いて調べた。平均プラズマ密度⟨n⟩の変化に対する動径電場Erの応答を調査した。⟨n⟩の上昇および下降に対するErのヒステリシスを研究した。⟨n⟩がゆっくり変化する場合(すなわち、その変化がエネルギー閉じ込め時間よりもはるかに遅い場合)、局所点モデルを用いた評価とは対照的に、一次元解析ではヒステリシスは見られない。固定位置robsにおける密度に対するErの依存性Er(robs)[n]を調べると、曲率d2Er(robs)/dn2の急激な変化として分岐の性質が見られる。時間変化の特性時間が典型的な閉じ込め時間よりもはるかに短い場合、⟨n⟩に対するErの応答にヒステリシスが観測され得る。

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