Pilot-wave hydrodynamics in a rotating frame: Exotic orbits

Pilot-wave hydrodynamics in a rotating frame: Exotic orbits

Pilot-Wave Hydrodynamics

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 wave field. This article reviews experimental evidence indicating that the walking droplets exhibit certain features previously thought to be exclusive to the microscopic, quantum realm. It then re...

Exotic orbits of two interacting wave sources.

As shown recently, it is possible to create, on a vibrating fluid interface, mobile emitters of Faraday waves [Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Nature 437, 208 (2005)]. They are formed of droplets bouncing at a subharmonic frequency which couple to the surface waves they emit. The droplet and its wave form a spontaneously propagative structure called a "walker." In the present ...

Pilot-wave dynamics in a rotating frame: on the emergence of orbital quantization

We present the results of a theoretical investigation of droplets walking on a rotating vibrating fluid bath. The droplet’s trajectory is described in terms of an integro-differential equation that incorporates the influence of its propulsive wave force. Predictions for the dependence of the orbital radius on the bath’s rotation rate compare favourably with experimental data and capture the pro...

Gravity Wave Generation by Vortical Flows in a Rotating Frame