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系統識別號 U0026-0409201813301300
論文名稱(中文) 透過Particle_in_Cell(PIC)模擬的方式模擬庫倫碰撞會對電漿波迴聲造成之影響
論文名稱(英文) Investigation of Coulomb collisional effects on plasma wave echo by using Particle-in-Cell simulation
校院名稱 成功大學
系所名稱(中) 太空與電漿科學研究所
系所名稱(英) Institute of Space and Plasma Sciences
學年度 106
學期 2
出版年 107
研究生(中文) 吳昺璋
研究生(英文) Bing-Zhang Wu
學號 LA6051077
學位類別 碩士
語文別 英文
論文頁數 71頁
口試委員 指導教授-西村泰太郎
口試委員-張怡玲
口試委員-呂凌霄
中文關鍵字 粒子網格法模擬  電漿波迴聲  庫倫碰撞  不可逆的起源  多體質心問題演算法 
英文關鍵字 Particle-in-cell simulation  Plasma wave echo  Coulomb collision  Origin of irreversibility  N-body gravitational algorithm 
學科別分類
中文摘要 粒子網格法(Particle-in-Cell)模擬至今已發展到能透過電漿波回聲去觀察電漿波與粒子間的交互作用可逆與否。 透過PIC模擬能觀察到給予電漿兩個外加的電場脈衝所產生的電漿波回聲, 但電漿波在考慮庫倫碰撞的情況下形成不可逆現象, 除了影響電漿波回聲的發生時間外也會降低電漿波回聲的振幅。 為了將二元碰撞納入粒子網格法(PIC)模擬去觀察庫倫碰撞對電漿波回聲造成之影響, 我們參考了一種用於解質心問題的演算法名叫 Barnes and Hut 演算法並將其簡化來預估多體的庫倫力。
英文摘要 An electrostatic Particle-in-Cell (PIC) simulation is developed to investigate the origin of irreversibility in the electron plasma wave. By giving two external pulse electric field to the plasma, the temporal plasma echo is observed in the PIC simulation. If Coulomb collisional effects are considered, the plasma wave echo will become irreversible phenomena. The Coulomb collisional effect is manifested as the time-shift of the echo peak and the damping of the echo peak amplitude. Binary collisions into the PIC simulation is incorporated to demonstrate collisional effects on the plasma wave echo. A simplified algorithm which can approximate the N-body force calculation is employed learning from the Barnes and Hut algorithm by the gravitational problems.
論文目次 摘要 III
Abstract IV
List of Figures V
Chapter 1 Introduction 1
Chapter 2 Theoretical and Computation Model 6
2-1. Vlasov Kinetic theory from a discrete particle system (Klimotovich equation) 6
2-2. Wave-particle interaction (Landau damping) 12
2-3.Temporal plasma wave echo 17
2-4. Coulomb collisional effects on plasma echo 19
Chapter 3 Numerical Simulation by Particle-In-Cell Simulation 30
3-1. Normalization of Vlasov-Poissson system 32
3-2. Time advance particles’ motion 34
3-3. Loading of the initial distribution 35
3-4. Interpolation scheme for density gathering 38
3-5. Poisson solver 39
3-6. Barnes and Hut algorithm for Coulomb collisions 43
Chapter 4 Simulation Results 48
4-1. Landau damping of Langmuir waves 48
4-2. Collisionless plasma wave echo 52
4-3. Plasma wave echo with Coulumb collisions 55
Chapter 5 Summary and Discussions 68
Appendix 70
Appendix 1 70
Appendix 2 70
References 71
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