Nonlinear dispersion relation for dust-acoustic waves in complex plasmas.,Physical Review E

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Nonlinear dispersion relation for dust-acoustic waves in complex plasmas.
Physical Review E ( IF 2.2 ) Pub Date : 2020-08-03 , DOI: 10.1103/physreve.102.023201
V V Yaroshenko ₁

Affiliation

Nonlinear dispersion relation for the finite-amplitude dust acoustic modes is obtained taking into account resonant particle trapping in the wave. The kinetic model predicts a frequency shift scaling

\propto \sqrt{ϕ}

relative to the linear dispersion relation with

ϕ

being the wave amplitude of the electrostatic potential. The species contributions to the nonlinear frequency shift have opposite sign: positive for trapped electrons and ions and negative for particles. It is shown that the relative importance of these contributions depends on the electron-to-ion or particle temperature ratio, particle charge, and Havnes parameter. In typical complex plasma experiments, the kinetic frequency shift is dominated by the positive ion contribution. As a result, the nonlinear modification of the dispersion relation affects the wave dispersion properties and may provide the acoustic-like behavior to the wave number domain

k λ_{D i} \sim 1

.

中文翻译：

复杂等离子体中粉尘声波的非线性色散关系。

考虑到共振粒子在波中的捕获，获得了有限振幅尘埃声模的非线性色散关系。动力学模型预测频移缩放

\propto \sqrt{ϕ}

相对于线性色散关系

ϕ

是静电势的波幅。物种对非线性频移的贡献具有相反的符号：对于捕获的电子和离子为正，对于粒子为负。结果表明，这些贡献的相对重要性取决于电子与离子或粒子的温度比，粒子电荷和Havnes参数。在典型的复杂等离子体实验中，动态频率偏移主要由阳离子贡献。结果，色散关系的非线性修改会影响波的色散特性，并可能向波数域提供类似声的行为

ķ λ_{d 一世} 〜 1个

。

更新日期：2020-08-03

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