Dominant Effects of Coulomb Collisions on Maintenance of Landau Damping
Dominant Effects of Coulomb Collisions on Maintenance of Landau Damping
复制标题
库仑碰撞对维持朗道阻尼的主要影响
DOI：
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发表时间：
1971
期刊：
影响因子：
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通讯作者：
G. L. Johnston
中科院分区：
文献类型：
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作者：
G. L. Johnston
本文给出了当存在非线性效应时，库仑碰撞使弱阻尼电子波的阻尼保持在朗道理论所给出的速率的解析判据。对于足够小的碰撞频率ν值，主要的碰撞效应是（ν/ka）1/3中最低阶对线性化分布函数扰动的影响。线性化分布函数扰动的共振分量的特征解与无碰撞结果的不同之处仅在于因子Re（[-i（kv-ω）]-1）被积分取代，其中碰撞效应体现在参数κ =（[v/（ka）]1/3/[Im（-ω）/ ka]）。不考虑波的阻尼与其初始值的偏差，就可以确定时间范围（[Im（−ω）]−1）Δ t Δ v −1内的空间平均分布函数扰动。的主要贡献涉及的线性化分布函数扰动的共振分量。关系……
An analytical criterion for the maintenance, by Coulomb collisions, of the damping of a weakly damped electron wave at the rate given by the theory of Landau when nonlinear effects are present is obtained. For sufficiently small values of ν, the collision frequency, the dominant collisional effects are effects of lowest order in (ν/ka)1/3 on the linearized distribution function perturbation. The characteristics solution for the resonant component of the linearized distribution function perturbation differs from the collisionless result only in that the factor Re([−i(kv−ω)]−1) is replaced by an integral in which collisional effects are embodied in the parameter κ = ([ν/(ka)]1/3/[Im(−ω) / ka]). Neglect of the deviation of the damping of the wave from its initial value permits determination of the spatial average distribution function perturbation in the range of time ([Im(−ω)]−1)≪t≪ν−1. The principal contribution involves the resonant component of the linearized distribution function perturbation. The relat...