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研究生： 張家佳
Chia-Chia Chang
論文名稱： 無碰撞電漿中靜電雙流不穩定之數值模擬研究
A numerical simulation study of electrostatic two-stream instability in collisionless plasma
指導教授： 呂凌霄
Ling-Hsiao Lyu
口試委員:
學位類別： 碩士
Master
系所名稱： 地球科學學院 - 太空科學研究所
Graduate Institute of Space Science
畢業學年度： 95
語文別： 中文
論文頁數： 56
中文關鍵詞： 雙流不穩定 、電漿數值模擬
外文關鍵詞： two-stream instability, electrostatic instability
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    • 雙流不穩定是太空中最常見的一種電漿加熱機制。透過電子時間尺度的非線性效應，靜電波的成長在很短的時間內，就能夠達到飽和，並加熱電漿中的電子。本論文使用一維全粒子相對論性靜電碼 (Electrostatic–relativistic full-particle code)，來研究電子–離子靜電雙流不穩定的非線性現象。而不同於過去前人只著重在電子與靜電波之間的互動，本論文的研究內容除了探討電子時間尺度的靜電波成長過程，與電子造成的 Landau damping 外，我們也將同時探討離子的運動對於靜電波發展所造成的影響，同時本論文也將對發生在靜電波成長過程中的非線性波與波耦合效應，作初步的探討。

    It is known that the two-stream instabilities play important roles in the plasma heating and accelerations of the space plasmas. The nonlinear evolution of the ion-electron two-stream instabilities is studied by means of a one-dimensional electrostatic full-particle code simulation. The electron-time-scale nonlinear phenomena studied in this thesis include the amplification of electrostatic waves and the Landau damping process due to trapping of electrons by the large amplitude electrostatic waves. In addition to the electron-time-scale phenomena, I also examine the ions'' motion and their feedback to the nonlinear electrostatic waves. Preliminary results on the nonlinear wave-wave coupling process in the nonlinear evolutions of the two-stream instability are also presented in this thesis.

    中文摘要 .....................................................................................................................Ⅰ 英文摘要 .....................................................................................................................Ⅱ 致謝 ...............................................................................................................................Ⅲ 目錄 ...............................................................................................................................Ⅴ 圖目錄 ..........................................................................................................................Ⅶ 第一章 序論 ............................................................................................................ 1 第二章 電子–離子靜電雙流不穩定之理論基礎 ............................. 4 2. 1 概述靜電雙流不穩定的發生 .......................................................... 4 2. 2 不穩定波的成長率與線性頻散關係 ............................................ 6 2. 3 粒子的特徵曲線與相空間分布 ................................................... 10 第三章 模擬方法 .......................................................................................... 16 第四章 模擬結果 .......................................................................................... 20 4. 1 雙流不穩定與粒子間的交互作用 .............................................. 21 4. 1. 1 電子的運動與不穩定波的關係 .................................... 23 4. 1. 2 離子的運動與不穩定波的關係 .................................... 31 4. 1. 3 電荷分離現象與不穩定波的關係 ............................... 39 4. 1. 4 不穩定波的不均勻結構 .................................................. 45 4. 2 非線性階段的波與波耦合效應 ................................................... 47 第五章 總結與討論 ..................................................................................... 53 參考文獻 ............................................................................................................. 56

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