Analysis of ripple resonance diffusion of alpha particles in burning plasma

燃烧等离子体中α粒子的波纹共振扩散分析

• 批准号: 21560856
• 负责人: TSUTSUI Hiroaki
• 金额: $ 2.91万
• 依托单位: Tokyo Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21560856/
• 关键词: プラズマ・核融合; 計算物理; シミュレーション工学; 数理物理; 確率論; トロイダル磁場リップル; トカマク; α粒子; 共鳴; 粒子モンテカルロ; 旋回中心; 拡散; ポアンカレマップ

The confinement of alpha particles is important in tokamak systems. Guiding center equations which ignores Larmor radius are used in order to evaluate alpha-particles orbits, while the equations are not valid for spherical tokamaks in which the characteristic length of variation of magnetic field is not negligible compared with Larmor radius. Although these differences, which are finite Larmor radius effects, appear as locations of banana tips, the differences are quantitative, not qualitative. Next we analyzed the ripple-resonance diffusion, which are caused by the resonance of banana-particle motions and magnetic field ripples, numerically and theoretically. The diffusion coefficients are enhanced around the ripple resonance energy while they are not so much enhanced in the neighborhood of it. Consequently, they have a local minimum near the resonance energy, and hence they have an M-shaped energy dependence. Ripple resonance is caused by a radial change of the toroidal precession of banana particles, and creates islands in a phase space.

α粒子的约束在托卡马克系统中很重要。在计算α粒子轨道时，采用了忽略Larmor半径的导引中心方程，而对于磁场变化特征长度与Larmor半径相比不可忽略的球形托卡马克，导引中心方程则不适用。虽然这些差异，这是有限的拉莫尔半径的影响，出现在香蕉尖的位置，差异是定量的，而不是定性的。其次，我们分析了波纹共振扩散，这是由香蕉粒子的运动和磁场波纹的共振，从数值和理论。扩散系数在涟漪共振能附近增强，而在波纹共振能附近增强不明显，因此在共振能附近存在局部极小值，具有M型能量依赖性。涟漪共振是由香蕉颗粒的环形进动的径向变化引起的，并且在相空间中产生岛。

项目成果

Physical mechanism of ripple resonance diffusion of alphaparticles in tokamaks

托卡马克中α粒子波纹共振扩散的物理机制

• 发表时间: 2010
• 作者: H. Tsutsui;H. Mimata;S. Tsuji-Iio;R. Shimada;K. Tani
• 通讯作者: K. Tani

Finite larmor radius effect in ripple resonance diffusion of alphaparticles in tokamaks

托卡马克中α粒子波纹共振扩散的有限拉莫尔半径效应

• 发表时间: 2011
• 作者: H. Tsutsui;S. Tsuji-Iio;R. Shimada;K. Tani
• 通讯作者: K. Tani

Finite larmor radius effect in ripple resonance diffusion of alpha partides in tokamaks

托卡马克中α粒子波纹共振扩散的有限拉莫尔半径效应

• 发表时间: 2011
• 作者: H.Tsutsui;S.Tsuji-Iio;R.Shimada;K.Tani
• 通讯作者: K.Tani

Effects of time-varying E×B flow on slab ion-temperature-gradient turbulence

时变E×B流对平板离子温度梯度湍流的影响

• 发表时间: 2010
• 期刊: Phys.Plasmas
• 作者: S.Maeyama;A.Ishizawa;T.-H.Watanabe;M.M.Skoric;N.Nakajima;S.Tsuji-Iio;H.Tsutsui
• 通讯作者: H.Tsutsui

Numerical Study of the Ripple Resonance Diffusion of Alpha Particles in Tokamaks

托卡马克中α粒子波纹共振扩散的数值研究

• 发表时间: 2009
• 期刊: Plasma and Fusion Research
• 影响因子: 0.8
• 作者: Hideyuki MIMATA;Keiji TANI1;HiroakiTSUTSUI;Kenji TOBITA;Shunji TSUJI-IIO;Ryuichi SHIMADA
• 通讯作者: Ryuichi SHIMADA