博碩士論文 87222013 詳細資訊




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姓名 葉信杏(S-S Yeh)  查詢紙本館藏   畢業系所 物理學系
論文名稱 庫倫作用粒子之動力學
(Dynamics of Coulomb-Interacting Particles)
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摘要(英) 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.
關鍵字(中) ★ 膠體懸浮粒子
★ 微粒電漿
關鍵字(英) ★ Colloidal liquid
★ dusty plasma
論文目次 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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指導教授 陳培亮(Peilong Chen) 審核日期 2000-7-19
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