Numerical simulation on modulational instability of ion-acoustic waves in plasma

• 来源期刊: 中国物理B（英文版）
• 关键词: modulational instability particle-in-cell simulation the reductive perturbation method
• 年，卷（期）: 2019,（2）
• 页码范围: 337-341
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/28/2/025201

摘要

In this paper, the one-dimensional (1D) particle-in-cell (PIC) simulation is used to study the modulation instability of ion acoustic waves in electron–ion plasmas. The ion acoustic wave is described by using a nonlinear Schr?dinger equation (NLSE) derived from the reductive perturbation method. Form our numerical simulations, we are able to demonstrate that, after the modulation, the amplitude increases steadily over time. Furthermore, by comparing the numerical results with traditional analytical solutions, we acquire the application scope for the reductive perturbation method to obtain the NLSE. We also find this method can also be extended to other fields such as fluid dynamics, nonlinear optics, solid state physics, and the Bose–Einstein condensate to validate the application scope of the results from the traditional perturbation method.