TY  - EJOUR
AU  - Winkler, Roland G.
AU  - Singh, Sunil P.
TI  - Active Polar Ring Polymer in Shear Flow -- An Analytical Study
PB  - arXiv
M1  - FZJ-2024-07606
PY  - 2024
AB  - 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.
KW  - Soft Condensed Matter (cond-mat.soft) (Other)
KW  - Statistical Mechanics (cond-mat.stat-mech) (Other)
KW  - Biological Physics (physics.bio-ph) (Other)
KW  - FOS: Physical sciences (Other)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.48550/ARXIV.2407.02860
UR  - https://juser.fz-juelich.de/record/1034859
ER  -