Nonlinear gyrokinetic equations
Nonlinear gyrokinetic equations
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DOI：
10.1063/1.864113
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发表时间：
1983-03
影响因子：
4.6
通讯作者：
D. Dubin;J. Krommes;C. Oberman;W. Lee
中科院分区：
文献类型：
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作者：
D. Dubin;J. Krommes;C. Oberman;W. Lee
从系统的哈密顿理论导出了非线性陀螺运动方程。推导采用李变换和非正则扰动理论首先使用的Littlejohn的渐近小gyroradius的简单问题。为明确起见，只考虑平板几何中的静电涨落;然而，对任意场几何和电磁扰动有一个简单的概括。导出了非线性系统的能量不变量，并考虑了几种极限形式。弱湍流理论的方程进行了检查。特别是Galeev和Sagdeev的波动动力学方程只能通过方程的系统截断导出，这意味着该方程未能考虑所有的陀螺动力学效应。对于回转半径小但有限的情况，方程被简化，并以适合于有效计算机模拟的形式给出。虽然它是可能的特里-霍顿和长谷川-三马方程作为限制…
Nonlinear gyrokinetic equations are derived from a systematic Hamiltonian theory. The derivation employs Lie transforms and a noncanonical perturbation theory first used by Littlejohn for the simpler problem of asymptotically small gyroradius. For definiteness, only electrostatic fluctuations in slab geometry are considered; however, there is a straightforward generalization to arbitrary field geometry and electromagnetic perturbations. An energy invariant for the nonlinear system is derived, and several limiting forms are considered. The weak turbulence theory of the equations is examined. In particular, the wave kinetic equation of Galeev and Sagdeev can ony be derived by an asystematic truncation of the equations, implying that this equation fails to consider all gyrokinetic effects. The equations are simplified for the case of small but finite gyroradius and put in a form suitable for efficient computer simulation. Although it is possible to derive the Terry–Horton and Hasegawa–Mima equations as limit...