Twirling Elastica: Kinks, Viscous Drag, and Torsional Stress

Details Twirling Elastica: Kinks, Viscous Drag, and Torsional Stress Twirling Elastica: Kinks, Viscous Drag, and Torsional Stress

2000-12-13

arxiv.org/abs/cond-mat/0012243v1

Phys. Rev. Lett. 85 (2000) 4827

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.85.4827

Biological filaments such as DNA or bacterial flagella are typically curved in their natural states. To elucidate the interplay of viscous drag, twisting, and bending in the overdamped dynamics of such filaments, we compute the steady-state torsional stress and shape of a rotating rod with a kink. Drag deforms the rod, ultimately extending or folding it depending on the kink angle. For certain kink angles and kink locations, both states are possible at high rotation rates. The agreement between our macroscopic experiments and the theory is good, with no adjustable parameters.

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