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 …

[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 …

Statistical projection effects in a hydrodynamic pilot-wave system

PJ Sáenz, T Cristea-Platon, JWM Bush - Nature Physics, 2018 - nature.com
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 …

A hydrodynamic analog of Friedel oscillations

PJ Sáenz, T Cristea-Platon, JWM Bush - Science advances, 2020 - science.org
We present a macroscopic analog of an open quantum system, achieved with a classical
pilot-wave system. Friedel oscillations are the angstrom-scale statistical signature of an …

[HTML][HTML] Walking droplets in a circular corral: Quantisation and chaos

T Cristea-Platon, PJ Sáenz, JWM Bush - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
A millimetric liquid droplet may walk across the surface of a vibrating liquid bath through a
resonant interaction with its self-generated wavefield. Such walking droplets, or “walkers,” …

Faraday pilot-wave dynamics in a circular corral

M Durey, PA Milewski, Z Wang - Journal of Fluid Mechanics, 2020 - cambridge.org
A millimetric droplet of silicone oil may bounce and self-propel on the free surface of a
vertically vibrating fluid bath due to the droplet's interaction with its accompanying Faraday …

Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave–particle entity

RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2022 - pubs.aip.org
Vertically vibrating a liquid bath can give rise to a self-propelled wave–particle entity on its
free surface. The horizontal walking dynamics of this wave–particle entity can be described …

Experimental investigation of walking drops: Wave field and interaction with slit structures

C Ellegaard, MT Levinsen - Physical Review E, 2024 - APS
While bouncing walking silicone oil droplets (walkers) do show many quantumlike
phenomena, the original, most intriguing, double-slit experiment with walkers has been …

Hydrodynamic quantum field theory: the free particle

Y Dagan, JWM Bush - Comptes …, 2020 - comptes-rendus.academie-sciences …
We revisit de Broglie's double-solution pilot-wave theory in light of insights gained from the
hydrodynamic pilot-wave system discovered by Couder and Fort [1]. de Broglie proposed …

Bifurcations and chaos in a Lorenz-like pilot-wave system

M Durey - Chaos: An Interdisciplinary Journal of Nonlinear …, 2020 - pubs.aip.org
A millimetric droplet may bounce and self-propel on the surface of a vertically vibrating fluid
bath, guided by its self-generated wave field. This hydrodynamic pilot-wave system exhibits …