Pilot-wave hydrodynamics

JWM Bush - Annual Review of Fluid Mechanics, 2015 - annualreviews.org
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 …

Hydrodynamic quantum analogs

JWM Bush, AU Oza - Reports on progress in physics, 2020 - iopscience.iop.org
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 …

Emergent order in hydrodynamic spin lattices

PJ Sáenz, G Pucci, SE Turton, A Goujon, RR Rosales… - Nature, 2021 - nature.com
Macroscale analogues,–of microscopic spin systems offer direct insights into fundamental
physical principles, thereby advancing our understanding of synchronization phenomena …

A trajectory equation for walking droplets: hydrodynamic pilot-wave theory

AU Oza, RR Rosales, JWM Bush - Journal of Fluid Mechanics, 2013 - cambridge.org
We present the results of a theoretical investigation of droplets bouncing on a vertically
vibrating fluid bath. An integro-differential equation describing the horizontal motion of the …

[HTML][HTML] A review of the theoretical modeling of walking droplets: Toward a generalized pilot-wave framework

SE Turton, MMP Couchman, JWM Bush - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
The walking droplet system has extended the range of classical systems to include several
features previously thought to be exclusive to quantum systems. We review the hierarchy of …

Hydrodynamic superradiance in wave-mediated cooperative tunneling

K Papatryfonos, M Ruelle, C Bourdiol… - Communications …, 2022 - nature.com
Superradiance occurs in quantum optics when the emission rate of photons from multiple
atoms is enhanced by inter-atom interactions. When the distance between two atoms is …

Faraday wave–droplet dynamics: discrete-time analysis

M Durey, PA Milewski - Journal of Fluid Mechanics, 2017 - cambridge.org
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 …

Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

M Labousse, AU Oza, S Perrard, JWM Bush - Physical Review E, 2016 - APS
We present the results of a theoretical investigation of the dynamics of a droplet walking on a
vibrating fluid bath under the influence of a harmonic potential. The walking droplet's …

Speed oscillations in classical pilot-wave dynamics

M Durey, SE Turton, JWM Bush - Proceedings of the …, 2020 - royalsocietypublishing.org
We present the results of a theoretical investigation of a dynamical system consisting of a
particle self-propelling through a resonant interaction with its own quasi-monochromatic pilot …

[HTML][HTML] Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets

M Durey, PA Milewski, JWM Bush - Chaos: An Interdisciplinary Journal …, 2018 - pubs.aip.org
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 …