Twist mapping for the dynamics of magnetic field lines in a tokamak ergodic divertor
Twist mapping for the dynamics of magnetic field lines in a tokamak ergodic divertor
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DOI：
10.1063/1.872689
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发表时间：
1998-06
影响因子：
2.2
通讯作者：
S. Abdullaev;K. Finken;A. Kaleck;K. Spatschek
中科院分区：
文献类型：
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作者：
S. Abdullaev;K. Finken;A. Kaleck;K. Spatschek
提出了一种新的基于辛扭曲映射的托卡马克等离子体边缘各态历经偏滤器磁力线动力学模型。找到了映射中的扰动函数与托卡马克磁场扰动之间的关系，并将其应用于TEXTOR-94环面实验中的动态各态历经偏滤器[Fusion Eng. Design，37，337（1997）]。扰动的极向谐波的频谱被假定为定位在谐波m=12附近。它在共振磁表面q=3附近产生随机层。该映射被应用到随机层的形成和场线扩散在等离子体边缘。对于中等磁场扰动，遍历层由一个随机海定期Kolmogorov-Arnold-Mozer（KAM）稳定岛。在不同的扰动下，研究了Kolmogorov长度和场线扩散率的径向分布。结果表明，Beh…
Symplectic twist mapping is proposed to model magnetic field line dynamics in the ergodic divertor at the tokamak plasma edge. The relationship between a perturbation function in the mapping and magnetic field perturbation in the tokamak is found. The mapping is specified for the Dynamic Ergodic Divertor being proposed for the Torus Experiment for Technology Oriented Research (TEXTOR-94) [Fusion Eng. Design, 37, 337 (1997)]. The spectrum of the poloidal harmonics of perturbation is assumed to be localized around the harmonics m=12. It creates the stochastic layer near the resonant magnetic surface q=3. The mapping is applied to the formation of the stochastic layer and field line diffusivity at the plasma edge. For the moderate magnetic field perturbations, the ergodic layer consists of a stochastic sea with regular Kolmogorov–Arnold–Mozer (KAM) -stability islands. The radial profiles of the Kolmogorov lengths and the field line diffusivity are studied for different perturbations. It is shown that the beh...