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系統識別號 U0026-1009201721330200
論文名稱(中文) 以多體模擬搭配圖形處理器模擬基本電漿物理中的庫倫力
論文名稱(英文) N-body Coulomb Force Simulation of Basic Plasma Physics by GPU Computing
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 105
學期 2
出版年 106
研究生(中文) 王建普
研究生(英文) Cheng-Pu Wang
學號 LA6031116
學位類別 碩士
語文別 英文
論文頁數 98頁
口試委員 指導教授-西村泰太郎
口試委員-河森榮一郎
口試委員-呂凌霄
中文關鍵字 多體模擬  德拜屏蔽  微粒電漿  湯川電位  電漿製程 
英文關鍵字 N-body  Debye shielding  dusty plasma  Yukawa potential  plasma processing 
學科別分類
中文摘要 基於三維靜電自相關力學建立了分子動力學或多體模擬方法的計算工具,研究了庫侖力的基本性質。使用多體模擬,研究了兩個粒子之間的庫侖碰撞,觀察了具有多個粒子的小角度散射的庫侖碰撞。量測位能和動能的關係以驗證計算。在庫侖力中併入了一個軟化參數,以避免在極小的粒子與粒子距離之間的數值困難。多體仿真模型擴展到研究微粒電漿等的動力學。大量負電荷粒子被用於我們的模擬。對於微粒電漿研究,納入了現象學的湯川電位。在微粒電漿研究中,電漿鞘層的外加力被用於電容耦合電漿中觀察到的系統,其被廣泛地用於工業電漿處理中。本研究的第二部分旨在根據庫侖力和重力之間的平衡以及在微重力實驗中由離子流引起的空隙形成來研究灰塵等離子體現象,如微粒電漿結晶。
英文摘要 A computational tool for molecular dynamics or N-body simulation method is built based on three-dimensional electrostatic self-consistent force to study basic nature of Coulomb force. Employing the N-body simulation, a Coulomb collision between two particles, Coulomb collisions with small angled deflection incorporating multiple particles are investigated. The relation of potential and kinetic energy is diagnosed to validate the computation. A softening parameter is incorporated in the Coulomb force to avoid numerical difficulties at an extremely small particle to particle distance. The N-body simulation model is extended to study dynamics of dusty plasmas. Massively negative charged particles are employed into our simulation. For the dusty plasma studies, phenomenological Yukawa potential is incorporated. In the dusty plasma study external electric sheath force is employed artificially into our system typically observed in capacitively coupled plasma which is widely used in industrial plasma processing. The second part of the study aims at investigating the dusty plasma phenomena such as crystallization based on the balance between Coulomb force and gravitational force, as well as void formation induced by ion flow in micro-gravity experiments.
論文目次 摘要 C
Abstract D
Contents i
List of Figures iii
Chapter 1 Introduction and motivation 1
Chapter 2 Numerical simulation model 5
2.1 Coulomb force 5
2.2 Yukawa system as a model of dusty plasma 7
2.3 N-body simulation method vs. Particle-in-cell method 9
2.4 Review of Coulomb collisions in plasma 10
Chapter 3 N-body simulation 16
3.1 Algorithm of N-body gravitational simulation 16
3.2 N-body system and its normalization by characteristic length and time 17
3.3 Improved Euler method 20
3.4 GPU computing 23
Chapter 4 Dusty plasma and void formation 26
4.1 Sheath electric field of Capacitively Coupled Plasma(CCP) 26
4.2 Review of dynamics dusty plasma system 29
Chapter 5 Simulation results 31
5.1 Binary interaction 31
5.2 Trajectories of many particle system 38
5.3 Debye shielding formation by first principle simulation without friction force 43
5.4 Test simulation of dusty plasmas; crystal formation and void formation 68
Chapter 6 Summary and conclusion 76
References 78
Appendix 81
A. Comparison of magnetic and electric force in Lorentz system 81
B. Momentum exchanges in binary collisions 84
C. Derivation of the coulomb logarithm 84
D. Source code 86
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