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@ARTICLE{Winkler:1034859,
      author       = {Winkler, Roland G. and Singh, Sunil P.},
      title        = {{A}ctive {P}olar {R}ing {P}olymer in {S}hear {F}low -- {A}n
                      {A}nalytical {S}tudy},
      publisher    = {arXiv},
      reportid     = {FZJ-2024-07606},
      year         = {2024},
      abstract     = {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.},
      keywords     = {Soft Condensed Matter (cond-mat.soft) (Other) / Statistical
                      Mechanics (cond-mat.stat-mech) (Other) / Biological Physics
                      (physics.bio-ph) (Other) / FOS: Physical sciences (Other)},
      cin          = {IAS-2},
      cid          = {I:(DE-Juel1)IAS-2-20090406},
      pnm          = {5243 - Information Processing in Distributed Systems
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-5243},
      typ          = {PUB:(DE-HGF)25},
      doi          = {10.48550/ARXIV.2407.02860},
      url          = {https://juser.fz-juelich.de/record/1034859},
}