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arXiv 1712.09682physics.plasm-ph
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基于简正模的电子等离子体波的二阶厄米理论分析

Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism

Jesus J. Ramos, Ryan L. White

摘要:

经典问题的动态演化的朗缪尔电子波在碰撞等离子体和他们的朗道阻尼被铸造为二阶,自伴问题的连续谱的实和正平方频率。得到了相应的奇异简正模的完备基及其正交关系。这就很容易地得到任何初值问题的时反不变量解的一般表达式。一个例子是给定的一个特定的初始条件,说明了朗道阻尼的宏观时刻的扰动。

英文摘要:

The classic problem of the dynamic evolution of Langmuir electron waves in a collisionless plasma and their Landau damping is cast as a second-order, self-adjoint problem with a continuum spectrum of real and positive squared frequencies. The corresponding complete basis of singular normal modes is obtained, along with their orthogonality relation. This yields easily the general expression of the time-reversal-invariant solution for any initial-value problem. An example is given for a specific initial condition that illustrates the Landau damping of the macroscopic moments of the perturbation.

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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