论文标题
轴对称磁场中指南中心运动轨道光谱的分析计算
Analytical Calculation of the Orbital Spectrum of the Guiding Center Motion in Axisymmetric Magnetic Fields
论文作者
论文摘要
在规范的哈密顿指导中心理论的背景下，分析了轴对称环形磁场中的带电粒子运动。在零漂移宽度的近似下，引入了对测量磁场线漂移轨道偏差的变量的规范转换，并获得了对动作角度变量的分析转换。后者用于为漂移运动的轨道光谱提供紧凑的配方，即弹跳/转运频率以及弹跳/传输平均的环形旋风进液和回旋频率。这些公式与数值计算出的全漂移宽度频率具有显着的一致性，并且基于假汉密尔顿描述的标准分析公式的显着差异。轨道光谱的分析知识对于通过对称性破坏扰动的颗粒共振条件以及对所得粒子，能量和动量转运的研究至关重要。
Charged particle motion in axisymmetric toroidal magnetic fields is analyzed within the context of the canonical Hamiltonian Guiding Center theory. A canonical transformation to variables measuring the drift orbit deviation from a magnetic field line is introduced and an analytical transformation to Action-Angle variables is obtained, under a zero drift width approximation. The latter is used to provide compact formulas for the orbital spectrum of the drift motion, namely the bounce/transit frequencies as well as the bounce/transit averaged toroidal precession and gyration frequencies. These formulas are shown to have a remarkable agreement with numerically calculated full drift width frequencies and significant differences with standard analytical formulas based on a pendulum-like Hamiltonian description. The analytical knowledge of the orbital spectrum is crucial for the formulation of particle resonance conditions with symmetry breaking perturbations and the study of the resulting particle, energy and momentum transport.
