Hydrodynamic quantum analogs

Yves Couder and Emmanuel Fort have recently discovered that droplets walking on a vibrating fluid bath exhibit features previously thought to be peculiar to the quantum realm, including single-particle diffraction, tunneling, quantized orbits and orbital level splitting. Much of my group’s recent research has been directed towards elucidating the subtle pilot-wave dynamics of these walking droplets, and rationalizing their quantum-like behaviour.

“Truth, like gold, is not to be obtained by its growth, but by washing away from it all that is not gold.”   — Leo Tolstoy

Non-specular reflection of walking droplets

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While the behavior of walking droplets in unbounded geometries has to a large extent been rationalized theoretically, no … View Project

Circular orbits in a harmonic potential

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 We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath … View Project

Visualizing pilot-wave phenomena: the $60 rig

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The reflection of an object can be distorted by undulations of the reflector, be it a funhouse mirror or a fluid … View Project

The new wave of pilot-wave theory

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A decade ago, Yves Couder and Emmanuel Fort discovered that a millimeter-sized droplet may propel itself along the … View Project

Pilot-wave dynamics: modeling & computation

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A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant … View Project

Pilot-wave hydrodynamics: A review

A millimetric droplet self-propels along the surface of vibrating fluid bath.

  Yves Couder and Emmanuel Fort recently discovered that a millimetric droplet sustained on the surface of a … View Project

How to build a better drop generator

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  We present the design of a piezoelectric droplet-on-demand generator capable of producing droplets of highly … View Project

How to build a better shaker

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Electrodynamic shakers are widely used in experimental investigations of vibrated fluids and granular materials. … View Project

The hydrodynamic boost factor of walking drops

A droplet bouncing on the free surface. Image: Dan Harris.

  It has recently been demonstrated that droplets walking on a vibrating fluid bath exhibit several features … View Project

Walkers in a rotating frame: Exotic orbits

Exotic quasi-periodic orbits arising for a walker in a rotating frame.

  We present the results of a numerical investigation of droplets walking on a rotating vibrating fluid … View Project

Walkers in a rotating frame: Orbital stability

The wave field generated by a droplet (black dot) executing an inertial orbit (dashed circle).

  We present the results of a theoretical investigation of droplets walking on a rotating vibrating fluid bath. … View Project

Walkers in a rotating frame: Experiments

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We present the results of an experimental investigation of a droplet walking on the surface of a vibrating rotating … View Project

Hydrodynamic pilot-wave theory

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  We present the results of a theoretical investigation of droplets bouncing on a vertically vibrating fluid … View Project

Pilot-wave dynamics of walking drops

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We present here a videographic description of the pilot-wave hydrodynamics arising when a fluid drop walks on a … View Project

Pilot-wave dynamics in a circular corral

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  Bouncing droplets can self-propel laterally along the surface of a vibrated fluid bath by virtue of a … View Project

Exotic states of bouncing and walking drops

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  We present the results of an integrated experimental and theoretical investigation of droplets bouncing … View Project

Droplets walking on a vibrating fluid bath

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We present the results of a combined experimental and theoretical investigation of droplets walking on a vertically … View Project

Droplets bouncing on a vibrating fluid bath

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We present the results of a combined experimental and theoretical investigation of millimetric droplets bouncing on a … View Project

Drop impact on a nonwetting surface

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We develop a conceptually simple theoretical model of non-wetting drop impact on a rigid surface at small Weber numbers. … View Project

Drops bouncing on a vibrating soap film

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We examine the dynamics arising when a water droplet bounces on a horizontal soap film suspended on a vertically … View Project