揉皺的鋁罐和液晶 有什麼共通的性質 ? 清華大學物理系 洪在明

小組成員和合作者： 林彥誌、侯宗昆、張菀馨、楊修維、蕭人豪、 張國煜、王柏庭、譚弘、沈佳樑、周明翰、劉 軒帆、李晉元 王永利、劉瑩、孫濟明、裴東斐、高文沛（北 大）、白武斌（科大）

參考文獻： Y. C. Lin, Y. L. Wang, Y. Liu, and TMH, “Crumpling under an ambient pressure”, PRL 101, (2008) Y. C. Lin, Y. W. Lin, and TMH, “Crumpling wires in two dimensions”, PRE 78, (2008) Y. C. Lin, J. M. Sun, H. W. Yang, Y. K. Hwu, C. L. Wang, and TMH, “X-ray tomography of a crumpled plastoelastic thin sheet”, PRE 80, (2009) Y. C. Lin, J. M. Sun, J. H. Hsiao, Y. K. Hwu, C. L. Wang, and TMH, “Spontaneous emergence of ordered phases in crumpled sheets”, PRL 103, (2009) W. B. Bai, C. K. Hou, Y. C. Lin, and TMH, “Scaling behavior for crumpled thin sheets at high pressure” (in preparation) 林彥誌、王永利、劉瑩和洪在明， The physics of crumpling 淺談皺摺 力學，物理雙月刊 30 卷 4 期， 457 頁 ( 2008)

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

Meta-stable states K. Matan, R. B. Williams, T. A. Witten, and S. R. Nagel, PRL 88, (2002)

Noises due to crumpling P. A. Houle and J. P. Sethna, PRE 54, 278 (1996)

Self-organized Voronoi diagram C. A. Andresen and A Hansen, and J. Schmittbuhl, PRE 76, (2007)

Simulations conclude: Y. Kantor, M. Kardar, and D. R. Nelson, PRL 57, 791 (1986) G. A. Vliegenthart and G. Gompper, Nature Mater. 5, 216 (1006) T. Tallinen, J. A. Astrom, and J. Timonen, Nature Mater. 8, 25 (2009)

The crumpling lab around the world Cornell University James P. Sethna U. Chicago S. R. Nagel Clark University Kudrolli Alexander S. Balankin Mexico M A F Gomes Brazil A Boudaoud ENS Paris uniaxial 2D 3D

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

實驗裝置和樣品： Aluminum, copper, and lead foils BOPP, HDPE, PVC Tissue, cloth Different surface friction

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

Y. C. Lin, Y. W. Lin, and TMH, PRE 78, (2008)

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

Y. C. Lin, J. M. Sun, H. W. Yang, Y. K. Hwu, C. L. Wang, and TMH, PRE 80, (2009)

壓扁的鋁罐和液晶有什麼共通？ Y. C. Lin, J. M. Sun, J. H. Hsiao, Y. K. Hwu, C. L. Wang, and TMH, PRL 103, (2009)

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

演講大綱： Introduction (10 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (5 min)

Why power law?

當 Smart 撞上 Benz

演講大綱： Introduction (5 min) Intermediate pressure crumpling (5 min) Wire crumpling (1D simulation) (2 min) X-ray tomography (5 min) High-pressure crumpling (5 min) Theoretical approach (10 min) Discussions (10 min)

後續工作： Composite and re-crumplings 組裝表面粗度儀 (profilometer) ─ 施宙聰教授 把兩張相同的紙用不同數量的釘書針固定 模擬橡膠的硫化反應 (vulcanization) 把紙剪半刀或 1/4 刀或 10 刀，不同揉皺方式 x-ray tomography 觀察高壓揉皺紙團結構 ─ 胡宇 光教授 一維的揉皺實驗 檢驗摺痕所需的功是否和長度的 1/3 冪次成正比？ MD 電腦模擬 ? 理論模型

參考文獻： Y. C. Lin, Y. L. Wang, Y. Liu, and TMH, “Crumpling under an ambient pressure”, PRL 101, (2008) Y. C. Lin, Y. W. Lin, and TMH, “Crumpling wires in two dimensions”, PRE 78, (2008) Y. C. Lin, J. M. Sun, H. W. Yang, Y. K. Hwu, C. L. Wang, and TMH, “X-ray tomography of a crumpled plastoelastic thin sheet”, PRE 80, (2009) Y. C. Lin, J. M. Sun, J. H. Hsiao, Y. K. Hwu, C. L. Wang, and TMH, “Spontaneous emergence of ordered phases in crumpled sheets”, PRL 103, (2009) 林彥誌、王永利、劉瑩和洪在明， The physics of crumpling 淺談皺摺 力學，物理雙月刊 30 卷 4 期， 457 頁 ( 2008)

感謝： 國科會、清華大學、清大理學院的支助 物理系地下室液態氮工廠的廖紹達和機械 工廠的田振滿先生 物理系同仁施宙聰、林秀豪、陳培亮教授

Evolution model for cyclic competitions - 林彥誌、 TMH 和林秀豪 剪刀 石頭 布 Frey et al., PRL 102, (2009)

where and Fluctuations lead to dissipation