# Strings of droplets propelled by coherent waves.

@article{Filoux2015StringsOD, title={Strings of droplets propelled by coherent waves.}, author={Boris Filoux and Maxime Hubert and Nicolas Vandewalle}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2015}, volume={92 4}, pages={ 041004 } }

Bouncing walking droplets possess fascinating properties due to their peculiar wave-particle interaction leading to unexpected quantumlike behaviors. We propose a study consisting in droplets walking along annular cavities. We show that, in this geometry, they spontaneously form a string of synchronized bouncing droplets that share a common coherent wave propelling the group at a speed faster than single walkers. The formation of this coherent wave and the collective droplet behaviors are…

## 30 Citations

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When gently placing a droplet onto a vertically vibrated bath, a drop can bounce without coalescing. Upon increasing the forcing acceleration, the droplet is propelled by the wave it generates and…

### Resonant interactions in bouncing droplet chains

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In a pioneering series of experiments, Yves Couder, Emmanuel Fort and coworkers demonstrated that droplets bouncing on the surface of a vertically vibrating fluid bath exhibit phenomena reminiscent…

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We report a new type of fluid-based driven dissipative oscillator system consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath and bound within an…

### Superwalking Droplets.

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A new class of walking droplets is observed, which is dubbed superwalkers, which may be more than double the size of the largest walkers, may travel at more than triple the speed of the fastest ones, and enable a plethora of novel multidroplet behaviors.

### Scattering theory of walking droplets in the presence of obstacles

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- 2016

We aim to describe a droplet bouncing on a vibrating bath using a simple and highly versatile model inspired from quantum mechanics. Close to the Faraday instability, a long-lived surface wave is…

### Walking droplets through the lens of dynamical systems

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Over the past decade the study of fluidic droplets bouncing and skipping (or ``walking'') on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field…

### Faraday wave–droplet dynamics: discrete-time analysis

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A droplet may ‘walk’ across the surface of a vertically vibrating bath of the same fluid, due to the propulsive interaction with its wave field. This hydrodynamic pilot-wave system exhibits many…

### Walking droplets as a damped-driven system

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We consider the dynamics of a droplet on a vibrating ﬂuid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling…

### Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets.

- PhysicsChaos
- 2018

A millimetric droplet may bounce and self-propel on the surface of a vertically vibrating bath, where its horizontal "walking" motion is induced by repeated impacts with its accompanying Faraday wave field, which reveals a number of dynamical regimes, including those characterized by stationary bouncing droplets trapped by the harmonic potential.

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It is shown that bouncing droplets can be made to ‘walk’ at constant horizontal velocity on the liquid surface by increasing this acceleration, which yields a new type of localized state with particle–wave duality.

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This work investigates the motion of a walker when it collides with barriers of various thicknesses and shows that this wave-particle association has a nonlocality sufficient to generate a quantumlike tunneling at a macroscopic scale.

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The energy stored in this wave field for two coupled walkers and how it conveys an interaction between them is investigated and the "promenade modes" where two walkers are bound and propagate together are characterized.

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A droplet bouncing on a vertically vibrated bath can become coupled to the surface wave it generates and become a "walker" moving at constant velocity on the interface, and diffraction or interference patterns are recovered in the histogram of the deviations of many successive walkers.

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This work shows that the bound states are driven by the wave interaction between the walkers and it observes a level splitting at macroscopic scale induced by the rotation, the classical equivalent to Zeeman splitting of atomic energy levels.

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We present the results of an integrated experimental and theoretical investigation of droplets bouncing on a vibrating fluid bath. A comprehensive series of experiments provides the most detailed…

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The possible periodic arrangements of droplets bouncing on the surface of a vibrated liquid are investigated. Because of the nature of the interaction through waves, the possible distance of binding…

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