Elasticity and stability of a helical filament

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/27854

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题名:	Elasticity and stability of a helical filament
作者:	Zhou, Zicong;Lai, Pik-Yin;Joós, Béla
贡献者:	淡江大學物理學系
关键词:	Euler angles;Helical filament;Helical rod;Bending (deformation);Lipids;Phase transitions;Torque;Torsional stress;Elasticity
日期:	2005-05
上传时间:	2013-07-09 15:20:28 (UTC+8)
出版者:	College Park: American Physical Society
摘要:	We derive the general shape equations in terms of Euler angles for a uniform elastic rod with spontaneous torsion and curvatures and subjected to external force and torque. Our results based on an analytic formalism show that the extension of a helical rod may undergo a one-step discontinuous transition with increasing stretching force. This agrees quantitatively with experimental observations for a helix in a chemically defined lipid concentrate. The larger the twisting rigidity, the larger the jump in the extension. The effect of torque on the jump is, however, dependent on the value of the spontaneous torsion. In contrast, increasing the spontaneous torsion encourages the continuous variation of the extension. An “over-collapse” behavior is observed for the rod with asymmetric bending rigidity, and an intrinsic asymmetric elasticity under twisting force is found.
關聯:	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 71(5), 052801(4pages)
DOI:	10.1103/PhysRevE.71.052801
显示于类别:	[物理學系暨研究所] 期刊論文

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