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000903154 1001_ $$0P:(DE-Juel1)186664$$aZiegler, Sebastian$$b0$$ufzj
000903154 245__ $$aTheoretical framework for two-microswimmer hydrodynamic interactions
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000903154 520__ $$aHydrodynamic 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.
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000903154 7001_ $$0P:(DE-Juel1)179426$$aScheel, Thomas$$b1
000903154 7001_ $$0P:(DE-Juel1)186666$$aHubert, Maxime$$b2$$ufzj
000903154 7001_ $$0P:(DE-Juel1)167472$$aHarting, Jens$$b3
000903154 7001_ $$0P:(DE-Juel1)186752$$aSmith, Ana-Sunčana$$b4$$eCorresponding author$$ufzj
000903154 773__ $$0PERI:(DE-600)1464444-7$$a10.1088/1367-2630/ac1141$$gVol. 23, no. 7, p. 073041 -$$n7$$p073041 -$$tNew journal of physics$$v23$$x1367-2630$$y2021
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