Gyrokinetic field theory
Gyrokinetic field theory
复制标题
DOI：
10.1063/1.873832
复制
发表时间：
2000-01
影响因子：
2.2
通讯作者：
H. Sugama
中科院分区：
文献类型：
--
作者：
H. Sugama
为了描述粒子的动力学和电磁场的自洽行为，对陀螺动力学理论的拉格朗日公式进行了推广。粒子分布函数的回旋动力学方程和电磁场的回旋动力学麦克斯韦方程组都是由粒子、场及其相互作用组成的拉格朗日量的变分原理导出的。在这个广义拉格朗日公式中，用诺特定理直接证明了非线性陀螺动力学方程组的能量守恒性质。该公式可用于导出非线性陀螺动力学方程组和任意频率波动的严格守恒总能量。从拉格朗日方程出发，得到了具有小电子陀螺半径、准中性和线性极化磁化近似的能量守恒的简化陀螺动力学方程组。
The Lagrangian formulation of the gyrokinetic theory is generalized in order to describe the particles’ dynamics, as well as the self-consistent behavior of the electromagnetic fields. The gyrokinetic equation for the particle distribution function and the gyrokinetic Maxwell’s equations, for the electromagnetic fields, are both derived from the variational principle for the Lagrangian consisting of the parts of particles, fields, and their interaction. In this generalized Lagrangian formulation, the energy conservation property for the total nonlinear gyrokinetic system of equations is directly shown from Noether’s theorem. This formulation can be utilized in order to derive the nonlinear gyrokinetic system of equations and the rigorously conserved total energy for fluctuations with arbitrary frequencies. Simplified gyrokinetic systems of equations with the conserved energy are obtained from the Lagrangian with the small electron gyroradii, quasineutrality, and linear polarization–magnetization approxima...