Nonlinear evolution of Buneman instability
Nonlinear evolution of Buneman instability
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Buneman 不稳定性的非线性演化
DOI：
10.1063/1.863392
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发表时间：
1981
影响因子：
4.6
通讯作者：
A. Langdon
中科院分区：
文献类型：
--
作者：
O. Ishihara;A. Hirose;A. Langdon
对无场等离子体中一维电子离子双流不稳定性的非线性演化进行了分析和数值研究（计算机模拟）。如果初始波动水平足够小，则不稳定性主要由增长最快的模式及其谐波决定。推导并数值求解非线性色散关系，考虑到； (a) 频率和生长速率调制，(b) 高达 ‖Ek‖4 的电场，以及 (c) “重整化”粒子分布函数。该模型可以成功解释计算机模拟的结果，特别是指数线性增长崩溃后代数增长阶段的存在、谐波的出现以及最终饱和水平。发现的最小电导率为 (M/m)0.61wpe，其中 M/m 是离子/电子质量比。
The nonlinear evolution of one‐dimensional electron‐ion two‐stream instability in a field‐free plasma is studied both analytically and numerically (computer simulation). The instability is dominated by the fastest growing mode and its harmonics, provided that the initial fluctuation level is sufficiently small. A nonlinear dispersion relation is derived and solved numerically, taking into account; (a) the frequency and growth rate modulation, (b) the electric field up to ‖Ek‖4, and (c) the ’’renormalized’’ particle distribution functions. The model can successfully explain the results of a computer simulation, particularly the presence of an algebraic growth stage following the breakdown of the exponential linear growth, the appearance of harmonics, and the final saturation level. The minimum conductivity found scales as (M/m)0.61wpe, where M/m is the ion/electron mass ratio.