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Comptes Rendus. Mécanique
Bouncing drops, memory
Walkers in a wave field with memory
Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 591-611.

Part of the special issue: Tribute to an exemplary man: Yves Couder

Couder et al. [] discovered that the behavior of droplets bouncing on a vibrated bath mimics a variety of quantum phenomena, through their coupling with a Faraday wave. Here, we introduce a continuous model inspired from this experiment, which encapsulates its essential features into a system of three simple differential equations. We show, numerically and analytically, the existence of self-propelled walkers in this framework. Finally, making use of the model’s familiar formulation, we suggest that a particle coupled with a propagating wave, instead of a standing one, behaves much like a bouncing droplet.

Published online:
DOI: 10.5802/crmeca.29
Classification: 76B15, 35Q35
Keywords: Walking droplets, Wave-particle interaction, Faraday waves, Non-linear dynamics, Helmholtz equation
Olivier Devauchelle 1; Éric Lajeunesse 1; François James 2; Christophe Josserand 3; Pierre-Yves Lagrée 4

1 Institut de Physique du Globe de Paris, F-75238 Paris, France
2 Institut Denis Poisson, Université d’Orléans, Université de Tours, CNRS UMR 7013, BP 6759, F-45067 Orléans Cedex 2, France
3 LadHyX, CNRS and École Polytechnique, UMR 7646, IP Paris, 91128 Palaiseau, France
4 Sorbonne Université, CNRS, Institut Jean Le Rond d’Alembert, F-75005 Paris, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Walkers in a wave field with memory},
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     pages = {591--611},
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Olivier Devauchelle; Éric Lajeunesse; François James; Christophe Josserand; Pierre-Yves Lagrée. Walkers in a wave field with memory. Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 591-611. doi : 10.5802/crmeca.29. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.29/

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