# Walking droplets interacting with single and double slits

@article{Pucci2017WalkingDI, title={Walking droplets interacting with single and double slits}, author={Giuseppe Pucci and Daniel M. Harris and Luiz M. Faria and John W. M. Bush}, journal={Journal of Fluid Mechanics}, year={2017}, volume={835}, pages={1136 - 1156} }

Couder & Fort (Phys. Rev. Lett., vol. 97, 2006, 154101) demonstrated that when a droplet walking on the surface of a vibrating bath passes through a single or a double slit, it is deflected due to the distortion of its guiding wave field. Moreover, they suggested the build-up of statistical diffraction and interference patterns similar to those arising for quantum particles. Recently, these results have been revisited (Andersen et al., Phys. Rev. E, vol. 92 (1), 2015, 013006; Batelaan et al., J…

## 37 Citations

Walking droplets in a circular corral: Quantisation and chaos.

- PhysicsChaos
- 2018

This work examines experimentally the dynamics of a walker inside a circular corral and illustrates the emergence of a variety of stable dynamical states for relatively low vibrational accelerations, which lead to a double quantisation in angular momentum and orbital radius.

Introduction to focus issue on hydrodynamic quantum analogs.

- PhysicsChaos
- 2018

Hydrodynamic quantum analogs is a nascent field initiated in 2005 by the discovery of a hydrodynamic pilot-wave system [Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Nature 437, 208 (2005)]. The…

Ratcheting droplet pairs.

- PhysicsChaos
- 2018

The experiments demonstrate that the quantized inter-drop distances of a ratcheting pair depend on the vibrational acceleration, and that as this acceleration is increased progressively, the direction of the ratchets motion may reverse up to four times.

Resonant interactions in bouncing droplet chains

- Physics
- 2020

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…

Hydrodynamic Quantum Analogs.

- PhysicsReports on progress in physics. Physical Society
- 2020

The walking droplet system discovered by Yves Couder and Emmanuel Fort presents an example of a vibrating particle self-propelling through a resonant interaction with its own wave field, and a generalized theoretical framework that provides a mathematical bridge between the hydrodynamic pilot-wave system and various realist models of quantum dynamics is described.

Oscillons, walking droplets, and skipping stones (an overview)

- Physics
- 2021

This article considers additional phenomena that complement the earlier topics addressed by Ibrahim [(Liquid Sloshing Dynamics: Theory and Applications. Cambridge University Press, Cambridge, 2005),…

Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling.

- PhysicsPhysical review. E
- 2020

This paper investigates how unpredictability can be unveiled for walkers through an experimental study of walker tunneling with precision and compares this macroscopic system to a tunneling quantum particle that is subjected to repeated measurements of its position and momentum.

Bouncing Oil Droplets, de Broglie’s Quantum Thermostat, and Convergence to Equilibrium

- PhysicsEntropy
- 2018

The aim of this paper is to try to describe walker phenomenology in terms of de Broglie–Bohm dynamics and of a stochastic version thereof, and to prove an H-theorem for the relaxation to quantum equilibrium under Nelson-type dynamics.

Walkers in a wave field with memory

- Physics
- 2020

Couder et al. [1] 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…

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.

## References

SHOWING 1-10 OF 74 REFERENCES

Scattering theory of walking droplets in the presence of obstacles

- Physics
- 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…

Droplets walking in a rotating frame: from quantized orbits to multimodal statistics

- PhysicsJournal of Fluid Mechanics
- 2013

Abstract We present the results of an experimental investigation of a droplet walking on the surface of a vibrating rotating fluid bath. Particular attention is given to demonstrating that the stable…

Double-slit experiment with single wave-driven particles and its relation to quantum mechanics.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

A Schrödinger equation with a source term originating from a localized particle that generates a wave while being simultaneously guided by it is introduced, and it is shown that the ensuing particle-wave dynamics can capture some characteristics of quantum mechanics such as orbital quantization, but the particle- wave dynamics can not reproduce quantum mechanics in general.

Tunneling with a hydrodynamic pilot-wave model

- Physics
- 2017

Eddi et al. [Phys. Rev Lett. 102, 240401 (2009)] presented experimental results demonstrating the unpredictable tunneling of a classical wave-particle association as may arise when a droplet walking…

Exotic states of bouncing and walking droplets

- Physics
- 2013

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…

Non-specular reflection of walking droplets

- PhysicsJournal of Fluid Mechanics
- 2016

Since their discovery by Yves Couder and Emmanuel Fort, droplets walking on a vibrating liquid bath have attracted considerable attention because they unexpectedly exhibit certain features…

Pilot-Wave Hydrodynamics

- Physics
- 2015

Yves Couder, Emmanuel Fort, and coworkers recently discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own…

Bouncing Droplets, Pilot-Waves, and Quantum Mechanics

- Physics
- 2016

Bouncing droplets on a fluid surface have recently been shown to provide a surprising analogy to quantum behaviour. Here we discuss the limitation of this analogy in the context of the double-slit…

Single-particle diffraction and interference at a macroscopic scale.

- PhysicsPhysical review letters
- 2006

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.

Statistical projection effects in a hydrodynamic pilot-wave system

- Physics
- 2017

Millimetric liquid droplets can walk across the surface of a vibrating fluid bath, self-propelled through a resonant interaction with their own guiding or ‘pilot’ wave fields. These walking droplets,…