二維非彈性顆粒子之簇集現象

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：26

、訪客IP：18.116.43.109

姓名

和正平(C-P He) 查詢紙本館藏

畢業系所

物理學系

論文名稱

二維非彈性顆粒子之簇集現象
(Clustering Phenomena of Inelastic Granular Particles in Two Dimensions)

相關論文

★ Case study of an extended Fitzhugh-Nagumo model with chemical synaptic coupling and application to C. elegans functional neural circuits	★ 螺旋狀高分子長鏈在拉力下之電腦模擬研究
★ 顆粒體複雜流動之研究	★ 高分子在二元混合溶劑之二維蒙地卡羅模擬研究
★ 帶電高分子吸附在帶電的表面上之研究	★ 自我纏繞繩節高分子之物理
★ 高分子鏈在強拉伸流場下之研究	★ 利用雷射破壞方法研究神經網路的連結及同步發火的行為
★ 最佳化網路成長模型的理論研究	★ 高分子鏈在交流電場或流場下的行為
★ 驟放式發火神經元的數值模擬	★ DNA在微通道的熱泳行為
★ 皮膚細胞增生與腫瘤生長之模擬	★ 耦合在非線性系統中的影響:模型探討以及非線性分析
★ 從網路節點時間序列分析網路特性並應用在體外培養神經及心臟細胞	★ Predicting Self-terminating Ventricular Fibrillation by Bivariate Data Analysis and Controlling Cardiac Alternans by Chaotic Attractors

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(英)

domain, with three kinds of dierent boundary conditions, (i) double periodic bound-
aries, (ii) a pair of smooth, elastic walls in the x-direction and periodic boundaries in
the y-direction, (iii) four smooth and elastic walls. Starting with the almost elastic
case, in which the coeÆcient of restitution is just a little less than 1, the homoge-
neous regime resembles a classical non-dissipative gas and there is no large structure.
When decreases, the system becomes inhomogeneous and spatial non-uniformity
occurs. Clusters appear when is even smaller, large clusters of disks form, break,
and reform. As time goes by, the cluster stays in a status of hydrodynamic shear
state, or collapse. Inelastic collapse, which is a dynamic singularity of the binary
collision model, is caused by the many-body dynamics. Numerical simulations show
that the energy decay in the homogeneous regime is proportion to t

關鍵字(中)

★ 顆粒子
★ 簇集現象

關鍵字(英)

★ Granular
★ Clustering

論文目次

Contents
1 Introduction 7
2 Theory 10
2.1 Ha's Cooling Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.1.1 The Continuity Equation . . . . . . . . . . . . . . . . . . . . . 11
2.1.2 The Momentum Conservation Equation . . . . . . . . . . . . . 11
2.1.3 The Energy Conservation Equation . . . . . . . . . . . . . . . 11
2.1.4 Main Assumptions and The Result of Ha's Cooling Law . . . 12
2.2 Clustering and Collapse in Simulations . . . . . . . . . . . . . . . . . 14
2.2.1 Clustering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.2.2 Inelastic Collapse . . . . . . . . . . . . . . . . . . . . . . . . . 16
3 Molecular dynamics Method and Simulation details 17
3.1 Molecular dynamics of Hard Systems . . . . . . . . . . . . . . . . . . 17
3.1.1 Collision Times between Two Particles . . . . . . . . . . . . . 18
3.1.2 Collision Times between a Particle and the Wall . . . . . . . . 19
3.2 The Collision Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
3.2.1 Particle-Particle Collision . . . . . . . . . . . . . . . . . . . . 20
3.2.2 Particle-Wall Collision . . . . . . . . . . . . . . . . . . . . . . 23
3.3 Initial and Boundary Conditions . . . . . . . . . . . . . . . . . . . . . 23
4 Results and Discussions 25
4.1 Inelastic Particles with Smooth surface . . . . . . . . . . . . . . . . . 25
4.1.1 Probability of Non-Collapse . . . . . . . . . . . . . . . . . . . 25
4.1.2 Order Parameter . . . . . . . . . . . . . . . . . . . . . . . . . 26
4.1.3 Energy Decay . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
4.1.4 Number of Collisions and Time . . . . . . . . . . . . . . . . . 48
4.2 Inelastic Rough Particles with Periodic Boundary Conditions . . . . . 59
5 Conclusion and Outlook 66
6 Appendix 68

參考文獻

[1] H. M. Jaeger, Sidney R. Nagel ,and R. P. Behringer, Rev. of Mod. Phys. 68,
1259 (1996)
[2] P. K.Ha, J. Fluid Mech. 134, 401 (1983)
[3] S. McNamara and W. R. Young, Phys.Fluid A 4, 496 (1992)
[4] S. McNamara and W. R. Young, Phys.Fluid A 5, 34 (1992)
[5] I. Goldhirsch andG. Zanetti, Phys. Rev. Lett. 70, 1619 (1993)
[6] J. M. Salazar and L. Brenig, Phys. Rev. E 59, 2093 (1999)
[7] P. G.de Gennes, Rev. of Mod. Phys. 71, S374(1999)
[8] Tong Zhou and L. P. Kadano, Phys. Rev. E 54, 623 (1996)
[9] H. M. Jaeger and R. Nagel, Science 225, 1523 (1992)
[10] S. Luding, Phys. Rev. E, 52, 4442 (1995)
[11] S. Luding, M. Huthmann, S.McNamara, and A. Zippeliues, Phys. Rev. E 58,
3416 (1998)
[12] S. McNamara and W. R. Young, Phys. Rev. E 50, R28 (1994)
[13] S. McNamara, Phys. Rev. E 53, 5089 (1996)
[14] R. Brito and M. H. Ernat, Europhys. Lett. 43, 497 (1998)
[15] S. McNamara and S. Luding, Phys. Rev. E 58, 2247 (1998)
[16] L. Verlet and D. Levesque, Mol. Phys. 46, 969 (1982)
[17] J. J. Brey and F. Moreno, Phys. Rev. E 54, 445 (1996)
[18] S. Luding, M. Huthmann, S. McNamara, and A. Zippelius, Phys. Rev. E 58,
3416 (1998)
[19] T. P. C.van Noije and M. H. Ernst, Physica A 251, 226 (1998)
[20] Computer Simulation of Liquids, M. P. Allen and D. J. Tildesley, OXFORD,
New York.

指導教授

黎璧賢(Pik-Yin Lai)

審核日期

2000-7-10

推文