非軸対称トーラスプラズマにおける三次元MHD平衡・安定性と高エネルギー粒子

在托卡马克和恒星等环形等离子体中，研究等离子体的磁流体性质与高能粒子(如α粒子)之间的关系对于实现热核聚变反应堆是不可避免的，也是重要的。本文对非轴对称环面等离子体中三维MHD平衡/稳定性与高能粒子的关联进行了以下理论和数值分析：1)利用基于星子近似的整体MHD稳定性程序，研究了Alfvan连续体谱隙中存在的离散本征模。结果表明，由于有限的等离子体β，TAE模的模式结构和频率会随着转动变换轮廓的改变而改变。高能粒子对TAE模的动力学效应正在被微扰地研究。2)基于WKB近似的局域分析和用三维理想磁流体稳定性c…进行的整体分析。对于螺旋系统特定的引出气球模式，执行了更多的ODE CAS3D。通过对局部分析和全局分析的详细比较，验证了局部分析的有效性，指出其近似的有效性是值得怀疑的。为了估计动力效应如何改变理想的气球运动模式，进行了求解运动气球运动模式方程的局部分析。我们发现有限Larmor半径(FLR)效应稳定了短波长模式，而可压缩性对稳定长波长模式是有效的。3)已经开始开发蒙特卡罗程序，以粒子为最终目标来估计动力学效应。第一步，研究螺旋系统中等离子体的新经典输运。4)在波纹托卡马克的分析中，通过Biot-Savart程序KMAG和三维MHD平衡程序VMEC，考虑了环形线圈的离散性，得到了自由边界MHD平衡。阐明了环向场波纹的有限β依赖性及其对高能粒子波纹损失的影响。较少

In torus plasmas such as tokamaks and stellarators, investigation of the relation between MHD properties of the plasma and high energy particles like alpha particles is inevitable and important to realize a thermo-nuclear fusion reactor. In this study, following theoretical and numerical analyses are performed concerning the correlation between three-dimensional MHD equilibrium/stability and high energy particles in non-axisymmetric torus plasmas;1) Discrete eigenmodes existing in the spectral gap of Alfvan continuum are studied by using a global MHD stability code based on the stellarator approximation. It is found that the mode structure and frequency of the TAE modes are changed by the change of the rotational transform profile due to the finite plasma beta. The kinetic effect of high energy particles on the TAE mode is being studied perturbatively now.2) Both the local analysis based on the WKB approximation and the global analysis by using a three-dimensional ideal MHD stability c … More ode CAS3D are performed for the ballooning mode specific to the helical system. From the detailed comparison between the local and global analysis, the availability of the local analysis, in which the validity of the approximation is pointed out to be questionable, is verified. In order to estimate how the kinetic effect can change the ideal ballooning mode, local analyses solving the kinetic ballooning mode equations are done. We found that the finite Larmor radius (FLR) effect stabilizes short wave length modes and the compressibility is effective to stabilize long wave length modes.3) Development of a Monte-Carlo code has been started to estimate kinetic effects from the view point of particles as a final goal. At the first step, the neoclassical transport is being investigated for a plasma in a helical system. Heliotron J. Though it is difficult to argue the results quantitatively, suppression of the neoclassical transport due to the bumpy field component and the radial electric field, which is demonstrated in the previous studies, is verified qualitatively.4) In the analysis of a rippled tokamak, free-boundary MHD equilibria are obtained by considering discreteness of toroidal coils using a Biot-Savart code KMAG and a three-dimensional MHD equilibrium code VMEC. Finite beta dependence of the toroidal field ripple and its effect on the ripple loss of high energy particles are clarified. Less