Controllability of low Reynolds numbers swimmers of ciliate type

Lohéac, Jérôme; Takahashi, Takéo

doi:10.1051/cocv/2019010

Cited by 2 publications

(3 citation statements)

References 32 publications

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“…2012; Alouges et al. 2013 a ; Lohéac & Munnier 2014; Hatton & Choset 2015; Lohéac & Takahashi 2020). In doing so, we have seen how rigorous controllability can be established with elementary, if cumbersome, calculation, highlighting the potential for the systematic justification of controllability in other studies, which is often lacking in contemporary works.…”

Section: Discussionmentioning

confidence: 99%

“…In the context of microswimming, there has been extensive exploration of the specific cases of general deformable or propulsive bodies (Martín, Takahashi & Tucsnak 2007;Lohéac, Scheid & Tucsnak 2013;Lohéac & Munnier 2014;Dal Maso, DeSimone & Morandotti 2015;Lohéac & Takahashi 2020) and model microrobots, formed of connected spheres (Desimone et al 2012;Alouges 2013;Alouges et al 2013b;Gérard-Varet & Giraldi 2015; DeSimone 2020) or links (Alouges et al 2013a). These studies utilise the gauge field formulation of force-and torque-free microswimming first posed by Shapere & Wilczek (1987, 1989b, in which the swimming velocity of a deformable body is described in a form linearly related to the surface deformation velocity.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The control of particles in the Stokes limit

et al. 2022

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There are numerous ways to control objects in the Stokes regime, with microscale examples ranging from the use of optical tweezers to the application of external magnetic fields. In contrast, there are relatively few explorations of theoretical controllability, which investigate whether or not refined and precise control is indeed possible in a given system. In this work, seeking to highlight the utility and broad applicability of such rigorous analysis, we recount and illustrate key concepts of geometric control theory in the context of multiple particles in Stokesian fluids interacting with each other, such that they may be readily and widely applied in this largely unexplored fluid-dynamical setting. Motivated both by experimental and abstract questions of control, we exemplify these techniques by explicit and detailed application to multiple problems concerning the control of two particles, such as the motion of tracers in flow and the guidance of one sphere by another. Further, we showcase how this analysis of controllability can directly lead to the construction of schemes for control, in addition to facilitating explorations of mechanical efficiency and contributing to our overall understanding of non-local hydrodynamic interactions in the Stokes limit.

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