The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak
The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak
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托卡马克中俘获电子模式的二维动力学气球理论
DOI：
10.1063/1.5048538
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发表时间：
2019-02
影响因子：
2.2
通讯作者：
Liu Z. Y.
中科院分区：
文献类型：
--
作者：
Xie T.;Zhang Y. Z.;Mahajan S. M.;Wu F.;He Hongda;Liu Z. Y.
基于傅立叶-气球变换在上下对称平衡（通过同心圆磁表面示出）中发展了无碰撞俘获电子模式的二维（2D）动力学理论。该系统包括两个方程：气球（积分）方程与参数化的Floquet相位和二阶微分方程的Floquet相位的分布。耦合方程，然后，数值求解作为一个特征值问题产生的2D模式结构（在真实的空间）以及全球（相位无关）的L-模式参数集的特征值。的2D模式结构表现出明显的径向-极向不对称性，由于极向耦合，径向相关长度被发现是，至少，两倍大的极向之一。模式的全局（相位无关）特征值与传统的局部（相位相关）估计有很大不同。这篇论文与发表的论文共享许多技术方面，该论文为离子温度梯度模式[Xie et al.，Phys. Plasmas 24，102506（2017）]。无碰撞捕获电子模式的二维（2D）动力学理论是基于上下对称平衡中的傅立叶气球变换（通过同心圆形磁表面示出）开发的。该系统包括两个方程：气球（积分）方程与参数化的Floquet相位和二阶微分方程的Floquet相位的分布。耦合方程，然后，数值求解作为一个特征值问题产生的2D模式结构（在真实的空间）以及全球（相位无关）的L-模式参数集的特征值。的2D模式结构表现出明显的径向-极向不对称性，由于极向耦合，径向相关长度被发现是，至少，两倍大的极向之一。模式的全局（相位无关）特征值与传统的局部（相位相关）估计有很大不同。本文分享了许多技术方面与发表的论文，wor...
The two-dimensional (2D) kinetic theory for a collisionless trapped electron mode is developed based on the Fourier-ballooning transform in an up-down symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The system consists of two equations: the ballooning (integral) equation with a parameterized Floquet phase and a second order differential equation for the distribution of the Floquet phase. The coupled equations are, then, numerically solved as an eigenvalue problem yielding the 2D mode structure (in real space) as well as the global (phase-independent) eigenvalue for an L-mode parameter set. The 2D mode structure exhibits apparent radial-poloidal asymmetry; due to the poloidal coupling, the radial correlation length is found to be, at least, twice as large as the poloidal one. The global (phase-independent) eigenvalue of the mode differs considerably from the conventional local (phase-dependent) estimate. This paper shares many technical aspects with a published paper that works out the 2D kinetic theory for the ion temperature gradient mode [Xie et al., Phys. Plasmas 24, 102506 (2017)].The two-dimensional (2D) kinetic theory for a collisionless trapped electron mode is developed based on the Fourier-ballooning transform in an up-down symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The system consists of two equations: the ballooning (integral) equation with a parameterized Floquet phase and a second order differential equation for the distribution of the Floquet phase. The coupled equations are, then, numerically solved as an eigenvalue problem yielding the 2D mode structure (in real space) as well as the global (phase-independent) eigenvalue for an L-mode parameter set. The 2D mode structure exhibits apparent radial-poloidal asymmetry; due to the poloidal coupling, the radial correlation length is found to be, at least, twice as large as the poloidal one. The global (phase-independent) eigenvalue of the mode differs considerably from the conventional local (phase-dependent) estimate. This paper shares many technical aspects with a published paper that wor...
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影响因子：
2.2
作者：
T. Xie;Y. Zhang;S. Mahajan;Z. Liu;Hongda He
通讯作者：
T. Xie;Y. Zhang;S. Mahajan;Z. Liu;Hongda He
影响因子：
2.2
作者：
D. Dickinson;C. Roach;J. Skipp;H. Wilson
通讯作者：
D. Dickinson;C. Roach;J. Skipp;H. Wilson
影响因子：
2.6
作者：
Y. Zhang;S. Mahajan
通讯作者：
Y. Zhang;S. Mahajan
影响因子：
2.2
作者：
J. Taylor;H. Wilson;J. Connor
通讯作者：
J. Taylor;H. Wilson;J. Connor
影响因子：
3.3
作者：
C.Z. Cheng;L. Chen
通讯作者：
C.Z. Cheng;L. Chen