Hydrodynamic quantum analogs
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 …
example of a vibrating particle self-propelling through a resonant interaction with its own …
Walking droplets through the lens of dynamical systems
A Rahman, D Blackmore - Modern Physics Letters B, 2020 - World Scientific
Over the past decade the study of fluidic droplets bouncing and skipping (or “walking”) on a
vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The …
vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The …
A hydrodynamic analog of Friedel oscillations
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 …
pilot-wave system. Friedel oscillations are the angstrom-scale statistical signature of an …
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 …
free surface. The horizontal walking dynamics of this wave–particle entity can be described …
Unsteady dynamics of a classical particle-wave entity
A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally,
guided by the waves it generates on each impact. This results in a self-propelled classical …
guided by the waves it generates on each impact. This results in a self-propelled classical …
[HTML][HTML] Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave–particle entity in a periodic potential
J Perks, RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
A classical wave–particle entity (WPE) can be realized experimentally as a droplet walking
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …
Collective vibrations of confined levitating droplets
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 …
consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath …
Pilot-wave dynamics in a rotating frame: the onset of orbital instability
We report the results of a theoretical investigation of the stability of a hydrodynamic
analogue of Landau levels, specifically circular orbits arising when a millimetric droplet self …
analogue of Landau levels, specifically circular orbits arising when a millimetric droplet self …
Quantum-like behavior of an active particle in a double-well potential
A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet
on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We …
on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We …
[HTML][HTML] Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations
RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
A classical wave-particle entity (WPE) can materialize as a millimeter-sized droplet walking
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …