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arXiv physics/9804014physics.plasm-phnlin.PSpatt-sol
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静电不稳定性"单波模型“的第一性原理论证

First Principles Justification of a ``Single Wave Model'' for Electrostatic Instabilities

John David Crawford, Anandhan Jayaraman

摘要:

研究了多粒子伏拉索夫等离子体中不稳定静电波的非线性演化。从振幅展开的奇异结构出发,在弱不稳定性极限即$γ\to 0^+$(其中$γ$为线性增长率)下,确定了电场和分布函数的渐近特征.渐近电场在线性模式的波长处是单色的,具有非线性的时间依赖性。共振区外的分布结构由线性本征函数给出,而共振区内的分布是非线性的。细节取决于离子是固定的还是移动的;在任何一种情况下,物理图像都对应于奥尼尔、温弗瑞和马尔姆伯格最初提出的单波模型,用于描述冷弱束与固定离子等离子体的相互作用。

英文摘要:

The nonlinear evolution of a unstable electrostatic wave is considered for a multi-species Vlasov plasma. From the singularity structure of the associated amplitude expansions, the asymptotic features of the electric field and distribution functions are determined in the limit of weak instability, i.e. $γ\to 0^+$ where $γ$ is the linear growth rate. The asymptotic electric field is monochromatic at the wavelength of the linear mode with a nonlinear time dependence. The structure of the distibutions outside the resonant region is given by the linear eigenfunction but in the resonant region the distribution is nonlinear. The details depend on whether the ions are fixed or mobile; in either case the physical picture corresponds to the single wave model originally proposed by O"Neil, Winfrey, and Malmberg for the interaction of a cold weak beam with a plasma of fixed ions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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