001     1034859
005     20250203103406.0
024 7 _ |a 10.48550/ARXIV.2407.02860
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024 7 _ |a 10.34734/FZJ-2024-07606
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037 _ _ |a FZJ-2024-07606
100 1 _ |a Winkler, Roland G.
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245 _ _ |a Active Polar Ring Polymer in Shear Flow -- An Analytical Study
260 _ _ |c 2024
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336 7 _ |a Preprint
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520 _ _ |a We theoretically study the conformational and dynamical properties of semiflexible active polar ring polymers under linear shear flow. A ring is described as a continuous Gaussian polymer with a tangential active force of a constant density along its contour. The linear but non-Hermitian equation of motion is solved using an eigenfunction expansion, which yields activity-independent, but shear-rate-dependent, relaxation times and activity-dependent frequencies. As a consequence, the ring's stationary-state properties are independent of activity, and its conformations as well as rheological properties are equal to those of a passive ring under shear. The presence of characteristic time scales by the relaxation and the frequency gives rise to a particular dynamical behavior. A tank-treading-like motion emerges for large relaxation times and high frequencies, specifically for stiffer rings, governed by the activity-dependent frequencies. In the case of very flexible polymers, the relaxation behavior dominates over tank-treading. Shear strongly affects the crossover from a tank-treading to a relaxation-time dominated dynamics and suppresses tank-treading. This is reflected in the tumbling frequency, which exhibits two shear-rate dependent regimes, with an activity-dependent plateau at low shear rates followed by a power-law regime with increasing tumbling frequency for large shear rates.
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650 _ 7 |a Soft Condensed Matter (cond-mat.soft)
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650 _ 7 |a Statistical Mechanics (cond-mat.stat-mech)
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650 _ 7 |a Biological Physics (physics.bio-ph)
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650 _ 7 |a FOS: Physical sciences
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700 1 _ |a Singh, Sunil P.
|0 P:(DE-Juel1)130972
|b 1
773 _ _ |a 10.48550/ARXIV.2407.02860
856 4 _ |u https://juser.fz-juelich.de/record/1034859/files/2407.02860v1-1.pdf
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