Elasticity and stability of a helical filament
學年 93
學期 2
出版(發表)日期 2005-05-01
作品名稱 Elasticity and stability of a helical filament
作品名稱(其他語言)
著者 Zhou, Zicong; Lai, Pik-Yin; Joós, Béla
單位 淡江大學物理學系
出版者 College Park: American Physical Society
著錄名稱、卷期、頁數 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 71(5), 052801(4pages)
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.
關鍵字 Euler angles; Helical filament; Helical rod; Bending (deformation); Lipids; Phase transitions; Torque; Torsional stress; Elasticity
語言 en
ISSN 1539-3755
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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