On the gyrokinetic model in long wavelength regime
On the gyrokinetic model in long wavelength regime
复制标题
长波长区域的回旋运动模型
DOI：
10.1088/0741-3335/55/7/074011
复制
发表时间：
2013
影响因子：
2.2
通讯作者：
M Yagi
中科院分区：
文献类型：
--
作者：
N Miyato;B D Scott;M Yagi
从粒子密度与导向中心变换和标准陀螺动力学公式中涉及的陀螺中心变换相关的推向表示的角度考虑了陀螺动力学准中性方程。结果表明，在长波长范围内，应同时考虑导向中心变换的高阶位移矢量和陀螺中心位移矢量。导向中心变换的高阶位移矢量在陀螺动力学准中性方程中产生了与磁场非均匀性有关的附加高阶项。当电场的梯度尺度长度可以与磁场的梯度尺度长度相当时，如在低纵横比托卡马克中，这些附加项可能是重要的。此外，还应修改陀螺动力学哈密顿量以保持一致性。
The gyrokinetic quasi-neutrality equation is considered from the point of view of the push-forward representation of particle density associated with the guiding-center transformation and the gyro-center transformation involved in the standard gyrokinetic formulation. It is clearly shown that the higher order displacement vector of the guiding-center transformation as well as the gyro-center displacement vector should be taken into account in the long wavelength regime. The higher order displacement vector of the guiding-center transformation yields additional higher order terms related to nonuniformity of magnetic field in the gyrokinetic quasi-neutrality equation. These additional terms may be important when the gradient scale length of electric field can be comparable to that of the magnetic field as in low aspect ratio tokamaks. Also the gyrokinetic Hamiltonian should be modified for consistency.