Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Braiding Dynamics in Semiflexible Filament Bundles Under Oscillatory Forcing

Version 1 : Received: 27 May 2021 / Approved: 28 May 2021 / Online: 28 May 2021 (13:40:07 CEST)

How to cite: Slepukhin, V.M.; Levine, A.J. Braiding Dynamics in Semiflexible Filament Bundles Under Oscillatory Forcing. Preprints 2021, 2021050704 (doi: 10.20944/preprints202105.0704.v1). Slepukhin, V.M.; Levine, A.J. Braiding Dynamics in Semiflexible Filament Bundles Under Oscillatory Forcing. Preprints 2021, 2021050704 (doi: 10.20944/preprints202105.0704.v1).

Abstract

We examine the nonequilibrium production of topological defects -- braids -- in semiflexible filament bundles under cycles of compression and tension. During these cycles, the period of compression facilitates the thermally activated pair production of braid/anti-braid pairs, which then may separate when the bundle is under tension. As result, appropriately tuned alternating periods of compression and extension should lead to the proliferation of braid defects in a bundle so that linear density of these pairs far exceeds that expected in thermal equilibrium. Secondly, we examine the slow extension of braided bundles under tension, showing that their end-to-end length creeps nonmonotonically under a fixed force due to braid deformation and the motion of the braid pair along the bundle. We conclude with a few speculations regarding experiments on semiflexible filament bundles and their networks.

Subject Areas

semiflexible filaments; bundles; topological defects; rheology

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