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Ion-temperature-gradient stability near the magnetic axis of quasisymmetric stellarators

R Jorge, M Landreman2021年Plasma Physics and Controlled FusionIF 2.2出版社

The stability of the ion-temperature gradient mode in quasisymmetric stellarators is assessed. This is performed using a set of analytical estimates together with linear gyrokinetic simulations. The peak growth rates, their corresponding real frequencies and wave-vectors are identified. A comparison is made between a first-order near-axis expansion model and eleven realistic designs obtained using numerical optimization methods. It is found that while the near-axis expansion is able to replicate the growth rates, real frequencies and perpendicular wave-vector at the inner core (both using simplified dispersion relations and first-principle gyrokinetic simulations), it leads to an overestimation of the growth rate at larger radii. An approximate analytic solution of the ITG dispersion relation for the non-resonant limit suggests growth rates could be systematically higher in quasi-axisymmetric (QA) configurations compared to quasi-helically (QH) symmetric ones. However except for very close to the axis, linear gyrokinetic simulations do not show systematic differences between QA and QH configurations.

日本語訳

準対称ステラレーターにおけるイオン温度勾配モードの安定性を評価した。これは、一連の解析的推定と線形ジャイロ運動論シミュレーションを用いて行われた。最大成長率、それに対応する実周波数および波数ベクトルを特定した。一次の近軸展開モデルと、数値最適化手法によって得られた11の現実的な設計との比較を行った。近軸展開モデルは、内部コアにおける成長率、実周波数および垂直波数ベクトルを(簡略化された分散関係と第一原理ジャイロ運動論シミュレーションの両方を用いて)再現できるものの、より大きな半径では成長率を過大評価することが判明した。非共鳴極限におけるITG分散関係の近似解析解は、準対称(QA)配位では準螺旋(QH)配位に比べて成長率が系統的に高くなり得ることを示唆している。しかし、軸に非常に近い場合を除いて、線形ジャイロ運動論シミュレーションではQA配位とQH配位の間に系統的な差異は見られなかった。

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