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H-mode transitions and limit cycle oscillations from mean field transport equations

Gary M Staebler, R J Groebner2015年Plasma Physics and Controlled FusionIF 2.2出版社

The mean field toroidal and parallel momentum transport equations will be shown to admit both one-step transitions to suppressed transport (L/H) and limit cycle oscillations (LCO). Both types of transitions are driven by the suppression of turbulence by the mean field ExB velocity shear. Using experimental data to evaluate the coefficients of a reduced transport model, the observed frequency of the LCO can be matched. The increase in the H-mode power threshold above and below a minimum density agrees with the trends in the model. Both leading and lagging phase relations between the turbulent density fluctuation amplitude and the ExB velocity shear can occur depending on the evolution of the linear growth rate of the turbulence. The transport solutions match the initial phase of the L/H transition where the poloidal and ExB velocities are observed to change, and the density fluctuations drop, faster than the diamagnetic velocity.

日本語訳

平均場トロイダルおよび平行運動量輸送方程式は、抑制された輸送(L/H)への一段階遷移とリミットサイクル振動(LCO)の両方を許容することを示す。両方のタイプの遷移は、平均場ExB速度シアによる乱流の抑制によって駆動される。実験データを用いて還元輸送モデルの係数を評価すると、観測されたLCOの周波数を一致させることができる。Hモードパワー閾値の密度に対する増加は、モデルの傾向と一致する。乱流密度変動振幅とExB速度シアの間の位相関係は、乱流の線形成長率の時間発展に依存して、進みと遅れの両方が生じ得る。輸送解は、L/H遷移の初期段階と一致し、そこではポロイダル速度とExB速度が変化し、密度変動が反磁性速度よりも速く低下することが観測される。

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