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arXiv 2201.00685physics.plasm-ph
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非线性绝热电子等离子体波。II。应用

Nonlinear adiabatic electron plasma waves. II. Applications

D. Bénisti, D. F. G. Minenna, M. Tacu, A. Debayle, L. Gremillet

摘要:

在这篇文章中,我们使用了在配套文件[M. Tacu和D. Bénisti,Phys. Plasmas(2021)],以解决有关非线性电子等离子体波(EPW)的几个长期存在的问题。首先,我们讨论的相关性,和实际用途,固定的解决方案的Vlasov泊松系统,所谓的伯恩斯坦-格林-克鲁斯卡尔模式,模型缓慢变化的波。其次,我们推导出了一个上界的EPW生长在初始麦克斯韦等离子体的破波极限。此外,我们显示了一个简单的依赖性,这个限制作为一个功能的$kλ_D$,$k$是波数和$λ_D$的德拜长度。第三,我们明确地推导出包络线方程统治的缓慢增长的等离子体波的演变,接近破波极限的振幅。第四,我们估计增长的横向波数导致波前弓通过求解非线性,非平稳,光线追迹方程的EPW,连同一个简单的受激拉曼散射模型。

英文摘要:

In this article, we use the general theory derived in the companion paper [M. Tacu and D. Bénisti, Phys. Plasmas (2021)] in order to address several long-standing issues regarding nonlinear electron plasma waves (EPW's). First, we discuss the relevance, and practical usefulness, of stationary solutions to the Vlasov-Poisson system, the so-called Bernstein-Greene-Kruskal modes, to model slowly varying waves. Second, we derive an upper bound for the wave breaking limit of an EPW growing in an initially Maxwellian plasma. Moreover, we show a simple dependence of this limit as a function of $kλ_D$, $k$ being the wavenumber and $λ_D$ the Debye length. Third, we explicitly derive the envelope equation ruling the evolution of a slowly growing plasma wave, up to an amplitude close to the wave breaking limit. Fourth, we estimate the growth of the transverse wavenumbers resulting from wavefront bowing by solving the nonlinear, nonstationary, ray tracing equations for the EPW, together with a simple model for stimulated Raman scattering.

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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