教師資料查詢 | 類別: 期刊論文 | 教師: 周子聰 Zicong Zhou (瀏覽個人網頁)

標題:Elasticity of two-dimensional filaments with constant spontaneous curvature
學年96
學期1
出版(發表)日期2007/12/01
作品名稱Elasticity of two-dimensional filaments with constant spontaneous curvature
作品名稱(其他語言)
著者Zhou, Zicong
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) 76(6), 061913(12pages)
摘要We study the mechanical property of a two-dimensional filament with constant spontaneous curvature and under uniaxial applied force. We derive the equation that governs the stable shape of the filament and obtain analytical solutions for the equation. We find that for a long filament with positive initial azimuth angle (the azimuth angle is the angle between x axis and the tangent of the filament) and under large stretching force, the azimuth angle is a two-valued function of the arclength, decreases first, and then increases with increasing arclength. Otherwise, the azimuth angle is a monotonic function of arclength. At finite temperature, we derive the differential equation that governs the partition function and find exact solution of the partition function for a filament free of force. We obtain closed-form expressions on the force-extension relation for a filament under low force and for a long filament under strong stretching force. Our results show that for a biopolymer with moderate length and not too small spontaneous curvature, the effect of the spontaneous curvature cannot be replaced by a simple renormalization of the persistence length in the wormlike chain model.
關鍵字Differential equations; Mechanical properties; Two dimensional; Azimuth angle; Renormalization; Spontaneous curvature; Biopolymers
語言英文
ISSN1539-3755
期刊性質國外
收錄於SCI
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式紙本
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