Effects of Landau damping on ion-acoustic solitary waves in a semiclassical plasma

朗道阻尼对磁化等离子体中离子-声交替孤波的影响

Effect of Landau damping on alternative ion-acoustic solitary waves in a magnetized plasma consisting of warm adiabatic ions and non-thermal electrons

Bandyopadhyay和Das [Phys. Plasmas，9，465-473，2002]已经导出了磁化等离子体中的离子声波的非线性宏观演化方程，该磁化等离子体由暖绝热离子和非热电子组成，包括Landau阻尼效应。本文还导出了当上述宏观演化方程的非线性项系数为零时，相应的非线性演化方程，用修正的宏观演化方程描述了离子声波的非线性行为。但是他们没有考虑系数非常接近于零的情况。这就是本文所考虑的情况，我们导出了相应的包含朗道阻尼效应的演化方程。最后，得到了这种宏观演化的孤立波解，发现其振幅随时间缓慢衰减。

尘埃负离子等离子体中尘埃声孤立波的朗道阻尼效应

Landau damping effects on dust-acoustic solitary waves in a dusty negative-ion plasma

研究了在极端条件下，当无自由电子存在时，非磁化尘埃负离子等离子体中具有朗道阻尼的尘埃声波的非线性理论。冷质量带电尘埃流体方程描述，而两种离子（正，负）的动力学弗拉索夫方程描述。根据Ott和Sudan [Phys. Fluids { \bf 12}，2388（1969）]，导出了一个具有Landau阻尼的Korteweg de-Vries（KdV）方程，该方程控制弱非线性和弱色散DAW的动力学。结果表明，对于一些典型的实验室和空间等离子体，Landau阻尼效应（和非线性）比有限德拜长度（色散）效应更为显著，而有限德拜长度（色散）效应使KdV孤子理论不适用于尘埃对离子等离子体中的DAW。研究了正离子与尘埃密度比$(μ_{pd})$以及正离子与负离子温度比$(σ)$和质量比$(m)$对线性相速度、孤波振幅（存在和不存在朗道阻尼）以及朗道阻尼率的影响。

Effect of Landau damping on ion acoustic solitary waves in a multi-species collisionless unmagnetized plasma consisting of nonthermal and isothermal electrons

A Korteweg-de Vries (KdV) equation including the effect of Landau damping is derived to study the propagation of weakly nonlinear and weakly dispersive ion acoustic waves in a collisionless unmagnetized plasma consisting of warm adiabatic ions and two different species of electrons at different temperatures. The hotter energetic electron species follows the nonthermal velocity distribution of Cairns et al. [Geophys. Res. Lett. 22, 2709 (1995)] whereas the cooler electron species obeys the Boltzmann distribution. It is found that the coefficient of the nonlinear term of this KdV like evolution …

尘埃双离子等离子体中Gardner孤子的Landau阻尼

Landau damping of Gardner solitons in a dusty bi-ion plasma

研究了非磁化尘埃等离子体中线性朗道阻尼对尘埃声孤立波非线性传播的影响。极大量的，微米抓住，冷和带负电荷的尘埃粒子由流体方程描述，而两种正离子，即冷（重）和热（轻）离子由动力学弗拉索夫方程描述。根据Ott和Sudan [Phys. Fluids { \bf 12}，2388（1969）]，并通过考虑低阶和高阶扰动，具有Landau阻尼的DASW的演化被示出由Korteweg-de Vries（KdV）、修改的KdV（mKdV）或Gardner（KdV-mKdV）类方程控制。研究了不同冷热离子温度比$(σ)$、数密度比$(μ)$和冷热离子质量比$m$时，DASW的相速度和朗道阻尼率的特性.研究了在不同的参数范围内，具有小朗道阻尼效应的KdV、mKdV和Gardner孤子振幅衰减率的不同特征。结果表明，Gardner孤子指向比KdV和mKdV孤子更低的振幅。这些结果可能有助于理解实验室和空间等离子体（例如，土星的F环），其中自由电子的数量密度远小于离子的数量密度，并且重的、微米级的被捕获的尘埃颗粒是高度带电的。

Effect of dust-ion collision on superthermal plasmas in cylindrical and spherical geometry

Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spherical and cylindrical geometry. For such study the fluid equation are takes and collisional effect is consider in the equation of momentum balance. Using reductive perturbation technique the evolution equation is derived with additional damping term for non planner geometry. Using the conservation principle an analytical time dependent solitary wave solution is obtained for the evolution equation. It is seen that dust ion collisional frequency has an significant effect on the width and amplitude of t…

Nonlinear Landau damping of wave envelopes in a quantum plasma

The nonlinear theory of Landau damping of electrostatic wave envelopes (WEs) is revisited in a quantum electron-positron (EP) pair plasma. Starting from a Wigner-Moyal equation coupled to the Poisson equation and applying the multiple scale technique, we derive a nonlinear Schr{ö}dinger (NLS) equation which governs the evolution of electrostatic WEs. It is shown that the coefficients of the NLS equation, including the nonlocal nonlinear term, which appears due to the resonant particles having group velocity of the WEs, are significantly modified by the particle dispersion. The effects of the q…