Reference : Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/225684
Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers
English
Tadrist, Loïc mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Microfluidique >]
Shim, Jeong -Bo mailto [Université de Liège - ULiège > Département de physique > Physique quantique statistique >]
Gilet, Tristan mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Microfluidique >]
Schlagheck, Peter mailto [Université de Liège - ULiège > Département de physique > Physique quantique statistique >]
2018
Journal of Fluid Mechanics
Cambridge University Press
848
906
Yes (verified by ORBi)
International
0022-1120
1469-7645
United Kingdom
[en] A walker is a fluid entity comprising a bouncing droplet coupled to the waves that it generates at the surface of a vibrated bath. Thanks to this coupling, walkers exhibit a series of wave–particle features formerly thought to be exclusive to the quantum realm. In this paper, we derive a model of the Faraday surface waves generated by an impact upon a vertically vibrated liquid surface. We then particularise this theoretical framework to the case of forcing slightly below the Faraday instability threshold. Among others, this theory yields a rationale for the cosine dependence of the wave amplitude to the phase shift between impact and forcing, as well as the characteristic time scale and length scale of viscous damping. The theory is validated with experiments of bead impact on a vibrated bath. We finally discuss implications of these results for the analogy between walkers and quantum particles.
Researchers
http://hdl.handle.net/2268/225684
10.1017/jfm.2018.358

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