El-Labany S K, El-Taibany W F, Behery E E
Department of Physics, Faculty of Science, Damietta University, New Damietta, P.O. Box 34517, Egypt.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):023108. doi: 10.1103/PhysRevE.88.023108. Epub 2013 Aug 26.
Propagation of dust acoustic waves (DAWs) with the effect of power law dust size distribution (DSD) in a magnetized dusty plasma with opposite polarity dust is studied. Using a reductive perturbation method, a Zakharov-Kuznetsov equation appropriate for describing three-dimensional DAWs is derived. The compressive and rarefactive solitons are possible in the present model. Due to the DSD effect, a soliton with a smaller amplitude and width and a larger velocity is observed. The stability criterion for obliquely propagating DAWs in such plasma using small-k expansion method is investigated. The growth rate of instability is derived and analyzed under the effect of power law DSD. It is found that the growth rate of instability is strongly affected by the power law DSD. The relevance of these findings to space plasma phenomena is briefly discussed.
研究了在具有相反极性尘埃的磁化尘埃等离子体中，考虑幂律尘埃粒径分布（DSD）效应的尘埃声波（DAWs）的传播。采用约化摄动法，推导了适用于描述三维尘埃声波的 Zakharov-Kuznetsov 方程。在当前模型中可能存在压缩孤子和稀疏孤子。由于 DSD 效应，观察到一个振幅更小、宽度更小且速度更大的孤子。利用小 k 展开法研究了这种等离子体中斜向传播尘埃声波的稳定性判据。推导并分析了在幂律 DSD 效应下不稳定性的增长率。发现不稳定性增长率受幂律 DSD 的强烈影响。简要讨论了这些发现与空间等离子体现象的相关性。
