Twist and writhe dynamics of stiff filaments

Details Twist and writhe dynamics of stiff filaments Twist and writhe dynamics of stiff filaments

1999-12-07

arxiv.org/abs/cond-mat/9912119v1

Physics

Condensed Matter

Soft Condensed Matter

7 Pages with 2 figures

Scientific paper

10.1103/PhysRevLett.85.5472

This letter considers the dynamics of a stiff filament, in particular the coupling of twist and bend via writhe. The time dependence of the writhe of a filament is $W_r^2\sim L t^{1/4}$ for a linear filament and $W_r^2\sim t^{1/2} / L $ for a curved filament. Simulations are used to study the relative importance of crankshaft motion and tube like motion in twist dynamics. Fuller's theorem, and its relation with the Berry phase, is reconsidered for open filaments

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