Phys. Rev. Lett. 85, 5472–5475 (2000)Twist and Writhe Dynamics of Stiff PolymersReceived 8 December 1999; published in the issue dated 18 December 2000 I consider 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 of length L is 〈[Wr(t)-Wr(0)]2〉∼Lt1/4. Simulations, on a simple model of a stiff polymer, are used to confirm scaling arguments. Fuller's theorem, and its relation with geometric phases, is reconsidered for open filaments. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.5472
DOI:
10.1103/PhysRevLett.85.5472
PACS:
87.16.Ka, 83.10.Nn, 87.15.La, 87.16.Ac
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