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001034859 0247_ $$2doi$$a10.48550/ARXIV.2407.02860
001034859 0247_ $$2datacite_doi$$a10.34734/FZJ-2024-07606
001034859 037__ $$aFZJ-2024-07606
001034859 1001_ $$0P:(DE-Juel1)131039$$aWinkler, Roland G.$$b0$$ufzj
001034859 245__ $$aActive Polar Ring Polymer in Shear Flow -- An Analytical Study
001034859 260__ $$barXiv$$c2024
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001034859 520__ $$aWe theoretically study the conformational and dynamical properties of semiflexible active polar ring polymers under linear shear flow. A ring is described as a continuous Gaussian polymer with a tangential active force of a constant density along its contour. The linear but non-Hermitian equation of motion is solved using an eigenfunction expansion, which yields activity-independent, but shear-rate-dependent, relaxation times and activity-dependent frequencies. As a consequence, the ring's stationary-state properties are independent of activity, and its conformations as well as rheological properties are equal to those of a passive ring under shear. The presence of characteristic time scales by the relaxation and the frequency gives rise to a particular dynamical behavior. A tank-treading-like motion emerges for large relaxation times and high frequencies, specifically for stiffer rings, governed by the activity-dependent frequencies. In the case of very flexible polymers, the relaxation behavior dominates over tank-treading. Shear strongly affects the crossover from a tank-treading to a relaxation-time dominated dynamics and suppresses tank-treading. This is reflected in the tumbling frequency, which exhibits two shear-rate dependent regimes, with an activity-dependent plateau at low shear rates followed by a power-law regime with increasing tumbling frequency for large shear rates.
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001034859 650_7 $$2Other$$aSoft Condensed Matter (cond-mat.soft)
001034859 650_7 $$2Other$$aStatistical Mechanics (cond-mat.stat-mech)
001034859 650_7 $$2Other$$aBiological Physics (physics.bio-ph)
001034859 650_7 $$2Other$$aFOS: Physical sciences
001034859 7001_ $$0P:(DE-Juel1)130972$$aSingh, Sunil P.$$b1
001034859 773__ $$a10.48550/ARXIV.2407.02860
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001034859 9141_ $$y2024
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001034859 9201_ $$0I:(DE-Juel1)IAS-2-20090406$$kIAS-2$$lTheorie der Weichen Materie und Biophysik$$x0
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