Nonlinear theory of a quasi-monochromatic whistler mode packet in inhomogeneous plasma
Nonlinear theory of a quasi-monochromatic whistler mode packet in inhomogeneous plasma
复制标题
非均匀等离子体中准单色哨声模式包的非线性理论
DOI：
10.1088/0032-1028/16/8/001
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发表时间：
1974
期刊：
影响因子：
--
通讯作者：
D. Shklyar
中科院分区：
文献类型：
--
作者：
V. Karpman;J. Istomin;D. Shklyar
建立了非均匀等离子体中准单色哨声波包与共振粒子相互作用的非线性理论。根据相体积守恒的广义定理，得到了捕获和未捕获粒子的分布函数表达式。导出了描述波幅时空演化的非线性方程。在距离包前缘较远的地方，非线性增长（阻尼）率由捕获和未捕获共振粒子的平均分布函数之差决定。研究了非均匀等离子体中波包非线性演化的定性特征。
A nonlinear theory is developed for a quasi-monochromatic whistler wave packet interacting with the resonant particles in an inhomogeneous plasma. Expressions for the distribution functions for the trapped and untrapped particles are obtained on the basis of generalized theorems of phase volume conservation. A nonlinear equation is derived which describes the space-time evolution of the wave amplitude. The nonlinear growth (damping) rate at large distances from the front edge of the packet is shown to be determined by the difference between the average distribution functions of the trapped and untrapped resonant particles. Qualitative features of the nonlinear evolution of a wave packet in inhomogeneous plasma are investigated.