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 …

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 …

Superwalking droplets

RN Valani, AC Slim, T Simula - Physical Review Letters, 2019 - APS
A walker is a droplet of liquid that self-propels on the free surface of an oscillating bath of the
same liquid through feedback between the droplet and its wave field. We have studied …

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 …

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 …

[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 …

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 …

Collective vibrations of confined levitating droplets

SJ Thomson, MMP Couchman, JWM Bush - Physical Review Fluids, 2020 - APS
We report the results of our investigation of a fluid-based driven-dissipative oscillator system
consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath …