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:Novel relationships between some coordinate systems and their effects on mechanics of an intrinsically curved filament
學年106
學期2
出版(發表)日期2018/03/05
作品名稱Novel relationships between some coordinate systems and their effects on mechanics of an intrinsically curved filament
作品名稱(其他語言)
著者Zicong Zhou
單位
出版者
著錄名稱、卷期、頁數Journal of Physics Communications 2(3), p.035008
摘要The fixed frame, Frenet-Serret frame and generalized Frenet-Serret frame are commonly used coordinate systems in the study of a filament or a moving rigid body. In terms of Eulerian angles, we derive some relations in these frames and apply these relations to find some significant results. Especially, we find the angle between the normal of centerline of a filament and the line of nodes which is the crossover between the horizontal plane of fixed frame and normal plane of centerline. We prove that the general solution of a set of nonlinear differential equations represents a circular helix or the corresponding filament has a unique helical ground-state configuration. We show that the effective description of a planar filament depends on the value of its torsional modulus. Finally, we find the expression of energy for a three-dimensional intrinsically curved filament when its cross-section area vanishes, and show that under an applied force the finite intrinsic curvature alone can induce a discontinuous transition in extension.
關鍵字semiflexible biopolymer;mechanics;local coordinate system;intrinsic curvature;phase transition
語言英文
ISSN
期刊性質國外
收錄於ESCI;
產學合作
通訊作者
審稿制度
國別中華民國
公開徵稿
出版型式,電子版
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