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

Article du numéro thématique : Tribute to an exemplary man: Yves Couder
[Hommage à un homme exemplaire : 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.

Publié le :
DOI : https://doi.org/10.5802/crmeca.29
Classification : 76B15,  35Q35
Mots clés : Walking droplets, Wave-particle interaction, Faraday waves, Non-linear dynamics, Helmholtz equation
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     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},
}
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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, Tome 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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