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@ARTICLE{Ziegler:903154,
      author       = {Ziegler, Sebastian and Scheel, Thomas and Hubert, Maxime
                      and Harting, Jens and Smith, Ana-Sunčana},
      title        = {{T}heoretical framework for two-microswimmer hydrodynamic
                      interactions},
      journal      = {New journal of physics},
      volume       = {23},
      number       = {7},
      issn         = {1367-2630},
      address      = {[London]},
      publisher    = {IOP},
      reportid     = {FZJ-2021-04878},
      pages        = {073041 -},
      year         = {2021},
      abstract     = {Hydrodynamic interactions are crucial for determining the
                      cooperative behavior ofmicroswimmers at low Reynolds
                      numbers. Here we provide a comprehensive analysis of
                      thescaling laws and the strength of the interactions in the
                      case of a pair of three-sphere swimmers.Both stroke-based
                      and force-based elastic microswimmers are analyzed using an
                      analyticperturbative approach, focusing on passive and
                      active interactions. The former are governed by
                      thecycle-averaged flow field of a single swimmer, which is
                      dipolar at long range. However, atintermediate distances,
                      with a cross-over at the order of 102 swimmer lengths, the
                      quadrupolarfield dominates which, notably, yields an
                      increase of the swimming velocity compared toindividual
                      swimmers, even when the swimmers are one behind another.
                      Furthermore, we find thatactive rotations resulting from the
                      interplay of the time-resolved swimming stroke and the
                      ambientflow fields and, even more prominently, active
                      translations are model-dependent. A mappingbetween the
                      stroke-based and force-based swimmers is only possible for
                      the low driving frequencyregime where the characteristic
                      time scale is smaller than the viscous one. Finally, we find
                      that thelong-term behavior of the swimmers, while sensitive
                      to the initial relative positioning, does notdepend on the
                      pusher or puller nature of the swimmer. These results
                      clearly indicate that thebehavior of swarms will depend on
                      the swimmer model, which was hitherto not well appreciated.},
      cin          = {IEK-11},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-11-20140314},
      pnm          = {1215 - Simulations, Theory, Optics, and Analytics (STOA)
                      (POF4-121) / DFG project 366087427 - Magnetokapillare
                      Mikroroboter zum Einfangen und zum Transport von Objekten an
                      Flüssiggrenzflächen},
      pid          = {G:(DE-HGF)POF4-1215 / G:(GEPRIS)366087427},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000679535500001},
      doi          = {10.1088/1367-2630/ac1141},
      url          = {https://juser.fz-juelich.de/record/903154},
}