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

doi:10.1088/1674-1056/28/2/025201

中国物理B ›› 2019, Vol. 28 ›› Issue (2): 25201-025201.doi: 10.1088/1674-1056/28/2/025201

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

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

Yi-Rong Ma(马艺荣), Lie-Juan Li(李烈娟), Wen-Shan Duan(段文山)

1 Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Beijing 100081, China;
2 College of Physics and Electronic Engineering, Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China

收稿日期:2018-10-16 修回日期:2018-11-29 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: Wen-Shan Duan E-mail:duanws@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11675014).

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

Yi-Rong Ma(马艺荣)^1,2, Lie-Juan Li(李烈娟)², Wen-Shan Duan(段文山)²

1 Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Beijing 100081, China;
2 College of Physics and Electronic Engineering, Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China

Received:2018-10-16 Revised:2018-11-29 Online:2019-02-05 Published:2019-02-05
Contact: Wen-Shan Duan E-mail:duanws@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11675014).

摘要/Abstract

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 Schrödinger 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.

关键词: modulational instability, particle-in-cell simulation, the reductive perturbation method

Abstract: 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 Schrödinger 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.

Key words: modulational instability, particle-in-cell simulation, the reductive perturbation method

中图分类号: (Single-component, electron-positive-ion plasmas)

52.27.Aj

52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams) 52.65.Rr (Particle-in-cell method)

马艺荣, 李烈娟, 段文山. Numerical simulation on modulational instability of ion-acoustic waves in plasma[J]. 中国物理B, 2019, 28(2): 25201-025201.

Yi-Rong Ma(马艺荣), Lie-Juan Li(李烈娟), Wen-Shan Duan(段文山). Numerical simulation on modulational instability of ion-acoustic waves in plasma[J]. Chin. Phys. B, 2019, 28(2): 25201-025201.

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

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

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