Dynamics and Topology of Flexible Chains: Knots in Steady Shear Flows
arXiv:1501.06159 · doi:10.1088/1367-2630/17/5/053009
Abstract
We use numerical simulations of a bead-spring model chain to investigate the evolution of the conformation of long and flexible elastic fibers in a steady shear flow. In particular, for rather open initial configurations, and by varying a dimensionless elastic parameter, we identify two distinct conformational modes with different final size, shape, and orientation. Through further analysis we identify slipknots in the chain. Finally, we provide examples of initial configurations of an "open" trefoil knot that the flow unknots and then knots again, sometimes repeating several times. These changes in topology should be reflected in changes in bulk rheological and/or transport properties.
22 pages, 12 figures
References in corpus (11)
- Self-organized Beating and Swimming of Internally Driven Filaments
- Numerical Study of a Microscopic Artificial Swimmer
- Statistics of tumbling of a single polymer molecule in shear flow
- Twirling and Whirling: Viscous Dynamics of Rotating Elastica
- The optimal elastic flagellum
- Spontaneous knotting and unknotting of flexible linear polymers: equilibrium and kinetic aspects
- Vesicle Dynamics in a Confined Poiseuille Flow: From Steady-State to Chaos
- Effect of bending rigidity on the knotting of a polymer under tension
- Effect of topology on dynamics of knots in polymers under tension
- Dynamics of fibers in a wide microchannel
- Complex dynamics of knotted filaments in shear flow
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- Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity
- Dynamics of flexible fibers in shear flow
- Complex dynamics of long, flexible fibers in shear
- Flexible fibers in shear flow approach attracting periodic solutions
- Periodic motion of sedimenting flexible knots
- Dynamics of flexible filaments in oscillatory shear flows
- Dynamics of flexible fibers in confined shear flows at finite Reynolds numbers
- Stability of sedimenting flexible loops
- Chaos and irreversibility of a flexible filament in periodically-driven Stokes flow
- Spontaneous knotting of a flexible fiber in chaotic flows
- Effect of simple shear on knotted polymer coils and globules