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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳義裕(Yih-Yuh Chen) | |
| dc.contributor.author | Po-Chia Huang | en |
| dc.contributor.author | 黃柏嘉 | zh_TW |
| dc.date.accessioned | 2021-05-13T08:36:13Z | - |
| dc.date.available | 2016-08-24 | |
| dc.date.available | 2021-05-13T08:36:13Z | - |
| dc.date.copyright | 2016-08-24 | |
| dc.date.issued | 2016 | |
| dc.date.submitted | 2016-08-16 | |
| dc.identifier.citation | Brown, R. (1828). XXVII. A brief account of microscopical observations made in the months of June, July and August 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies. Philosophical Magazine Series 2, 4(21), 161-173.
Chen, K., Chou, Y. C., & To, K. (2013). Force generation by granular chains moving randomly on periodic ratchet plates. Physical Review E, 87(1), 012711. Deseigne, J., Dauchot, O., & Chaté, H. (2010). Collective Motion of Vibrated Polar Disks. Physical Review Letters, 105(9), 098001. Deseigne, J., Leonard, S., Dauchot, O., & Chate, H. (2012). Vibrated polar disks: spontaneous motion, binary collisions, and collective dynamics. Soft Matter, 8(20), 5629-5639. doi:10.1039/C2SM25186H Einstein, A. (1905). Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annalen der physik, 322(8), 549-560. Kudrolli, A. (2010). Concentration Dependent Diffusion of Self-Propelled Rods. Physical Review Letters, 104(8), 088001. Kudrolli, A., Lumay, G., Volfson, D., & Tsimring, L. S. (2008). Swarming and Swirling in Self-Propelled Polar Granular Rods. Physical Review Letters, 100(5), 058001. Li, L., N?rrelykke, S. F., & Cox, E. C. (2008). Persistent cell motion in the absence of external signals: a search strategy for eukaryotic cells. PLoS one, 3(5), e2093. Lin, W. T., Sun, Y. C., Chang, C. C., Lin, Y. C., Peng, C. W., Juan, W. T., & Tsai, J. C. (2014). Ratcheting and Transitions: Short Granular Chain in a Gradient of Vibration. Physical Review Letters, 112(5), 058001. Metzler, R., & Klafter, J. (2000). The random walk's guide to anomalous diffusion: a fractional dynamics approach. Physics reports, 339(1), 1-77. Pearson, K. (1905). The problem of the random walk. Nature, 72, 342. Richardson, L. F. (1926). Atmospheric diffusion shown on a distance-neighbour graph. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 110(756), 709-737. Safford, K., Kantor, Y., Kardar, M., & Kudrolli, A. (2009). Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers. Physical Review E, 79(6), 061304. Scher, H., & Montroll, E. W. (1975). Anomalous transit-time dispersion in amorphous solids. Physical Review B, 12(6), 2455-2477. Sun, Y. C., Fei, H. T., Huang, P. C., Juan, W. T., Huang, J. R., & Tsai, J. C. (2016). Short granular chain under vibration: Spontaneous switching of states. Physical Review E, 93(3), 032902. Yadav, V., & Kudrolli, A. (2012). Diffusion of granular rods on a rough vibrated substrate. The European Physical Journal E, 35(10), 1-7. doi:10.1140/epje/i2012-12104-0 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/3724 | - |
| dc.description.abstract | 我們將短顆粒鍊置於可讓其作繞行與垂直運動的準二維環形軌道中，施加垂直振動場於其上，同時以兩台正交的攝影機側錄顆粒鍊的運動。我們發現，短顆粒鍊在垂直振動場下的水平運動與其形狀有密切的關聯：當顆粒鍊在震動週期中維持棒狀均勻地直上直下時，其位移為緩慢的隨機漫步；當顆粒鍊在震動週期中一端翹起時，其會沿著翹起端的方向以定速前行；而當顆粒鍊在震動週期中兩端皆翹起時，其運動為超擴散運動，且其週期與週期間的運動有相當程度的關聯性。此外，顆粒鍊三形態的水平運動特性隨著實驗控制參數的改變大致相同。 | zh_TW |
| dc.description.abstract | We put a short granular chain in a qusai-2D circular channel and apply a vertical sinusoidal vibration on it. We set up 2 side-viewing cameras with orthogonal orientation to record the motion of the chain and discover that the horizontal motion of a short granular chain is closely related with its shape in vibrating cycles. When the chain keeps rod-like shape during vibration cycles, it behaves like small step random walk; when one of the ends rises up during vibration cycles, the chain moves ballistically; when both of the ends rise up, the chain behaves as a larger step random walk, but its horizontal motions of adjacent vibration cycles are related. Moreover, the character of the horizontal motion of 3 states keep consistent while the control parameters change. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-13T08:36:13Z (GMT). No. of bitstreams: 1 ntu-105-R03222077-1.pdf: 5334310 bytes, checksum: 7a288bbefe0b784ccc10f8a14d62423a (MD5) Previous issue date: 2016 | en |
| dc.description.tableofcontents | 論文口試委員審定書 II
誌謝 III 中文摘要 iv Abstract v 目錄 vi 圖片錄目 ix 表格錄目 x 符號說明 xi Chapter 1 緒論 1 1.1 隨機漫步介紹 1 1.2 歷史回顧 2 1.3 結構安排說明 7 Chapter 2 實驗架設與影像分析 9 2.1 實驗架設 9 2.1.1 系統設置 10 2.1.2 影像錄製 11 2.2 顆粒鍊定位 13 2.2.1 顆粒鍊的位置及位移 13 2.2.2 影像尺度量測 14 2.2.3 攝影重疊區域的銜接 16 2.2.4 空間精確度討論 17 2.3 形態（State）及區段（Interval）定義 19 2.3.1 形態（State）定義 19 2.3.2 區段（Interval）定義 21 2.3.3 顆粒鍊行為概述 21 Chapter 3 水平運動與形態之關聯 24 3.1 基本分析 24 3.1.1 顆粒鍊軌跡（Trajectories） 24 3.1.2 位移分佈直方圖（Histogram） 25 3.1.3 方均位移（Mean Square Displacement, MSD） 25 3.2 形態0的研究 27 3.2.1 顆粒鍊軌跡 27 3.2.2 位移分佈 28 3.2.3 方均位移 29 3.3 形態1的研究 31 3.3.1 顆粒鍊軌跡 31 3.3.2 位移分佈 32 3.3.3 方均位移 34 3.4 形態2的研究 35 3.4.1 顆粒鍊軌跡 35 3.4.2 位移分佈 36 3.4.3 方均位移 37 3.5 其他分析 38 3.5.1 位移延滯圖（Lag plot） 38 3.5.2 位移與顆粒鍊兩端高度差關聯探討 40 3.5.3 位移－時距之散佈圖（Scatter Plot） 42 3.6 小結 45 Chapter 4 控制參數的角色及其他評估 48 4.1 振動強度（Γ） 48 4.1.1 Γ對形態區段長度的影響 48 4.1.2 Γ對位移分佈的影響 51 4.1.3 Γ對方均位移的影響 52 4.2 顆粒數（N） 53 4.2.1 顆粒數對形態分佈的影響 54 4.2.2 顆粒數對位移分佈的影響 55 4.2.3 顆粒數對方均位移的影響 57 4.3 系統不對稱性的影響評估 58 4.3.1 基板水平的影響評估 58 4.3.2 顆粒鍊的不對稱性 60 4.4 小結 60 Chapter 5 結果與討論 63 參考資料 64 附錄 66 附錄一 hcut對形態判定的影響 66 附錄二 線上附錄 67 | |
| dc.language.iso | zh-TW | |
| dc.subject | 運動形態的行為轉變 | zh_TW |
| dc.subject | (垂直)振動系統 | zh_TW |
| dc.subject | 顆粒鍊 | zh_TW |
| dc.subject | 隨機漫步 | zh_TW |
| dc.subject | granular chain | en |
| dc.subject | transition | en |
| dc.subject | random walk | en |
| dc.subject | (vertical)vibration | en |
| dc.title | 短顆粒鍊在垂直振動場下的水平運動行為 | zh_TW |
| dc.title | The Horizontal Motion of a Short Granular Chain under Vertical Vibrations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 104-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 蔡日強(Jih-Chiang Tsai) | |
| dc.contributor.oralexamcommittee | 黃仲仁(Jung-Ren Huang) | |
| dc.subject.keyword | 顆粒鍊,(垂直)振動系統,運動形態的行為轉變,隨機漫步, | zh_TW |
| dc.subject.keyword | granular chain,(vertical)vibration,transition,random walk, | en |
| dc.relation.page | 69 | |
| dc.identifier.doi | 10.6342/NTU201602267 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2016-08-17 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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