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研究生： 葉信杏
S-S Yeh
論文名稱： 庫倫作用粒子之動力學
Dynamics of Coulomb-Interacting Particles
指導教授： 陳培亮
Peilong Chen
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
畢業學年度： 88
語文別： 中文
論文頁數： 29
中文關鍵詞： 膠體懸浮粒子 、微粒電漿
外文關鍵詞： Colloidal liquid, dusty plasma
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    • moving in a two dimensional space. We study the diusion property of a single particle by
    measuring the mean square displacement as a function of time. At short times the particles
    undergo unhindered self-diusion, at intermediate times they are hindered and conned in a
    cage formed by the neighbors, and at long times the large step hoppings occur. These three
    dierent motions are found in the melting state and the cage-eect disappears in the liquid state.
    We also study the mobility of the particles by measuring the displacement distribution and its
    deviation from Gaussian behavior. Non-Gaussian behavior is contributed by the hoppings
    occuring in the cage-eect region. Some faster particles and relaxation of cages are found at
    intermediate times. The shapes and sizes of cooperative motions are studied by examing the
    correlations among the particles displacements in both longitudinal and transverse directions.
    The string-like and vortex-like cooperative motions are both present and the sizes of the clusters
    are measured.

    1 Introduction 3 2 Theory 6 2.1 Model of simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.1 Equation of motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Quantities Interested . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.1 Mean square displacement . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.2 Nongaussian-parameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.3 Correlation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Numerical methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 Results and Dicussions 12 3.1 Mean square displacement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.1 Dierent motions at dierent times scales . . . . . . . . . . . . . . . . . 12 3.1.2 Motions at dierent temperatures . . . . . . . . . . . . . . . . . . . . . . 15 3.1.3 Motions with dierent potential energy . . . . . . . . . . . . . . . . . . . 17 3.2 Non-gaussian parameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.3 Correlation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3.1 Correlation in longitudinal direction . . . . . . . . . . . . . . . . . . . . . 20 3.3.2 Correlation in transvese direction . . . . . . . . . . . . . . . . . . . . . . 22 4 Conclusion 26

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