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Equivalence of two different approaches to global δf gyrokinetic simulations

Felix I Parra, Michael Barnes2015年Plasma Physics and Controlled FusionIF 2.2出版社

A set of flux tube gyrokinetic equations that includes the effect of the spatial variation of the density, temperature and rotation gradients on the turbulence is derived. This new set of equations uses periodic boundary conditions. In the limit l⊥/L ≪ 1, where l⊥ is the characteristic perpendicular length of turbulent structures and L is the characteristic size of the device, this new set of flux tube gyrokinetic equations is shown to be equivalent to the traditional global δf gyrokinetic equations to an order higher in l⊥/L than the usual flux tube formulations.

日本語訳

密度、温度、および回転勾配の空間変動が乱流に及ぼす効果を含むフラックスチューブ・ジャイロ運動論方程式のセットを導出する。この新しい方程式セットは周期的境界条件を用いる。極限 l⊥/L ≪ 1(ここで l⊥ は乱流構造の特性垂直長さ、L は装置の特性サイズ)において、この新しいフラックスチューブ・ジャイロ運動論方程式セットは、通常のフラックスチューブ定式化よりも l⊥/L の高次まで、従来の大域的δfジャイロ運動論方程式と等価であることが示される。

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