Dutta Manjistha, Ghosh Samiran, Chakrabarti Nikhil
Department of Instrumentation Science, Jadavpur University, Kolkata-700 032, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec;86(6 Pt 2):066408. doi: 10.1103/PhysRevE.86.066408. Epub 2012 Dec 18.
A nonlinear analysis for the finite amplitude electron acoustic wave (EAW) is considered in a collisional plasma. The fluid model is used to describe the two-temperature electron species in a fixed ion background. In general, in electron-ion plasma, the presence of wave nonlinearity, dispersion, and dissipation (arising from fluid viscosity) give rise to the Korteweg-de Vries Burgers (KdVB) equation which exhibits shock wave. In this work, it is shown that the dissipation due to the collision between electron and ion in the presence of collective phenomena (plasma current) can also introduce an anomalous dissipation that causes the Burgers term and thus leads to the generation of electron acoustic shock wave. Both analytical and numerical analysis show the formation of transient shock wave. Relevance of the results are discussed in the context of space plasma.
在碰撞等离子体中考虑了有限振幅电子声波（EAW）的非线性分析。流体模型用于描述固定离子背景下的双温电子物种。一般来说，在电子 - 离子等离子体中，波的非线性、色散和耗散（由流体粘性引起）的存在导致了具有冲击波的Korteweg - de Vries Burgers（KdVB）方程。在这项工作中，研究表明，在集体现象（等离子体电流）存在的情况下，电子与离子之间的碰撞引起的耗散也会引入反常耗散，从而导致Burgers项的出现，进而导致电子声冲击波的产生。解析分析和数值分析都表明了瞬态冲击波的形成。在空间等离子体的背景下讨论了结果的相关性。
