Modulation of ion sound excitations in electron–ion plasmas with double spectral index distribution function,Contributions to Plasma Physics

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Modulation of ion sound excitations in electron–ion plasmas with double spectral index distribution function
Contributions to Plasma Physics ( IF 1.3 ) Pub Date : 2020-03-07 , DOI: 10.1002/ctpp.201900182
Shakir Ullah ₁ , W. Masood _{1,

2} , M. Siddiq ₂

Affiliation

Theoretical investigation of amplitude modulation of ion sound waves is presented here for an electron–ion plasma where the electrons are dictated by the double spectral index (r, q) distribution function. Using the standard reductive perturbative technique, a non‐linear Schrödinger (NLS) equation is derived that describes the evolution of modulated ion sound envelope excitations. Stability analysis of the NLS equation shows that the ion sound waves remain stable for the flat‐topped and kappa‐like distributions, but they can become unstable for the spiky electron velocity distribution. It is shown that changing the electron population in regions of low and high phase space density regions results in remarkable features that have no equivalent in ion sound waves with Boltzmannian electrons. Different types of localized ion sound excitations are plotted for the different shapes of the distribution functions controlled by the double spectral indices, and the underlying physics is discussed in detail. The present investigation may be beneficial to understand ion sound excitations in space plasmas where the distribution functions of the shapes presented here are frequently encountered by the satellite missions.

中文翻译：

具有双光谱指数分布函数的电子离子等离子体中离子声激发的调制

对于电子离子等离子体，这里介绍了离子声波幅度调制的理论研究，其中电子是由双光谱指数（r，q）分配功能。使用标准的还原微扰技术，可以得出一个非线性薛定ding（NLS）方程，该方程描述了调制离子声包络激发的演化。对NLS方程的稳定性分析表明，离子声波对于平顶分布和类似kappa的分布保持稳定，但是对于尖锐的电子速度分布，它们可能变得不稳定。结果表明，改变低相空间密度区域和高相空间密度区域的电子数量会产生显着的特征，这些特征在离子声波中没有与玻耳兹曼电子等效。对于由双光谱指数控制的分布函数的不同形状，绘制了不同类型的局部离子声激发，并详细讨论了基础物理学。

更新日期：2020-03-07

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