Self‐consistent theory for ion gyroresonance
Self‐consistent theory for ion gyroresonance
复制标题
离子陀螺共振自洽理论
DOI：
10.1063/1.860030
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
A. Kaufman
中科院分区：
文献类型：
--
作者：
H. Ye;A. Kaufman
为了描述离子回旋共振过程，通过系统地将自洽作用原理从粒子坐标转换到引导中心/振荡中心坐标，导出了一套完整的自洽Vlasov-Maxwell方程。它们包括振荡中心的Vlasov方程；波-粒子共振相互作用的方程；以及背景电磁场的Maxwell方程。这些方程满足能量、动量和角动量的局部守恒定律，这些守恒定律是用Noether算法构造的。给出了基于射线相空间线性模式转换理论的离子回旋共振过程的启发式解释，提出了一种求一般几何解析解的方法。
For describing ion gyroresonance processes, a complete set of self‐consistent Vlasov–Maxwell equations is derived by systematically transforming a self‐consistent action principle from particle coordinates to guiding‐center/oscillation‐center coordinates. They include the oscillation‐center Vlasov equation; the equations for wave–particle resonant interactions; and Maxwell equations for the background electromagnetic fields. These equations satisfy local conservation laws for energy, momentum, and angular momentum, constructed by using the Noether algorithm. A heuristic interpretation based on the theory of linear mode conversion in ray phase space is also presented for ion gyroresonance processes, which suggests a method for obtaining analytic solutions in general geometry.