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.
Mots clés : Walking droplets, Wave-particle interaction, Faraday waves, Non-linear dynamics, Helmholtz equation
CC-BY 4.0
@article{CRMECA_2020__348_6-7_591_0,
author = {Olivier Devauchelle and \'Eric Lajeunesse and Fran\c{c}ois James and Christophe Josserand and Pierre-Yves Lagr\'ee},
title = {Walkers in a wave field with memory},
journal = {Comptes Rendus. M\'ecanique},
pages = {591--611},
publisher = {Acad\'emie des sciences, Paris},
volume = {348},
number = {6-7},
year = {2020},
doi = {10.5802/crmeca.29},
language = {en},
}
TY - JOUR AU - Olivier Devauchelle AU - Éric Lajeunesse AU - François James AU - Christophe Josserand AU - Pierre-Yves Lagrée TI - Walkers in a wave field with memory JO - Comptes Rendus. Mécanique PY - 2020 SP - 591 EP - 611 VL - 348 IS - 6-7 PB - Académie des sciences, Paris DO - 10.5802/crmeca.29 LA - en ID - CRMECA_2020__348_6-7_591_0 ER -
%0 Journal Article %A Olivier Devauchelle %A Éric Lajeunesse %A François James %A Christophe Josserand %A Pierre-Yves Lagrée %T Walkers in a wave field with memory %J Comptes Rendus. Mécanique %D 2020 %P 591-611 %V 348 %N 6-7 %I Académie des sciences, Paris %R 10.5802/crmeca.29 %G en %F CRMECA_2020__348_6-7_591_0
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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