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 …

The new wave of pilot-wave theory

JWM Bush - Physics Today, 2015 - pubs.aip.org
While the founding fathers agonized over the question “particle” or “wave” de Broglie in
1925 proposed the obvious answer “particle” and “wave.”… This idea seems so natural and …

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 …

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 …

Quantumlike statistics of deterministic wave-particle interactions in a circular cavity

T Gilet - Physical Review E, 2016 - APS
A deterministic low-dimensional iterated map is proposed here to describe the interaction
between a bouncing droplet and Faraday waves confined to a circular cavity. Its solutions …

[HTML][HTML] Introduction to focus issue on hydrodynamic quantum analogs

JWM Bush, Y Couder, T Gilet, PA Milewski… - … Journal of Nonlinear …, 2018 - pubs.aip.org
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 …

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 …