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The Scallop Theorem and Swimming at the Mesoscale

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arxiv 2008.08305 v1 pith:RXXQPFRH submitted 2020-08-19 physics.flu-dyn cond-mat.soft

The Scallop Theorem and Swimming at the Mesoscale

classification physics.flu-dyn cond-mat.soft
keywords fluidscalloptheoremactsarisesasymmetricasymmetrybeads
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By synergistically combining modeling, simulation and experiments, we show that there exists a regime of self-propulsion in which the inertia in the fluid dynamics can be separated from that of the swimmer. This is demonstrated by the motion of an asymmetric dumbbell that, despite deforming in a reciprocal fashion, self-propagates in a fluid due to a non-reciprocal Stokesian flow field. The latter arises from the difference in the coasting times of the two constitutive beads. This asymmetry acts as a second degree of freedom, recovering the scallop theorem at the mesoscopic scale.

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