hal-01140759
https://polytechnique.hal.science/hal-01140759
arxiv:1501.03954
doi:10.1140/epje/i2015-15007-6
[X] Ecole Polytechnique
[CNRS] CNRS - Centre national de la recherche scientifique
[X-LADHYX] Laboratoire d'Hydrodynamique (LADHYX)
[X-DEP] Polytechnique
[X-DEP-MECA] Département de mécanique
[UNIV-PARIS-SACLAY] Université Paris-Saclay
[X-SACLAY] X-SACLAY
Autophoretic locomotion from geometric asymmetry
Michelin, Sébastien
Lauga, Eric
[PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
ART
Among the few methods which have been proposed to create small-scale swimmers, those relying on self-phoretic mechanisms present an interesting design challenge in that chemical gradients are required to generate net propulsion. Building on recent work, we propose that asymmetries in geometry are sufficient to induce chemical gradients and swimming. We illustrate this idea using two different calculations. We first calculate exactly the self-propulsion speed of a system composed of two spheres of unequal sizes but identically chemically homogeneous. We then consider arbitrary, small-amplitude, shape deformations of a chemically homogeneous sphere, and calculate asymptotically the self-propulsion velocity induced by the shape asymmetries. Our results demonstrate how geometric asymmetries can be tuned to induce large locomotion speeds without the need of chemical patterning.
2015-02
en
European Physical Journal E: Soft matter and biological physics
EDP Sciences: EPJ