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 …

Oscillons, walking droplets, and skipping stones (an overview)

RA Ibrahim - Nonlinear Dynamics, 2021 - Springer
This article considers additional phenomena that complement the earlier topics addressed
by Ibrahim [(Liquid Sloshing Dynamics: Theory and Applications. Cambridge University …

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 …

Pilot-wave dynamics in a rotating frame: the onset of orbital instability

N Liu, M Durey, JWM Bush - Journal of Fluid Mechanics, 2023 - cambridge.org
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 …

Free rings of bouncing droplets: stability and dynamics

MMP Couchman, JWM Bush - Journal of Fluid Mechanics, 2020 - cambridge.org
We present the results of a combined experimental and theoretical investigation of the
stability of rings of millimetric droplets bouncing on the surface of a vibrating liquid bath. As …

Collective excitations in active fluids: Microflows and breakdown in spectral equipartition of kinetic energy

NP Kryuchkov, SO Yurchenko - The Journal of Chemical Physics, 2021 - pubs.aip.org
The effect of particle activity on collective excitations in active fluids of microflyers is studied.
With an in silico study, we observed an oscillating breakdown of equipartition (uniform …

[HTML][HTML] The stability of a hydrodynamic bravais lattice

MMP Couchman, DJ Evans, JWM Bush - Symmetry, 2022 - mdpi.com
We present the results of a theoretical investigation of the stability and collective vibrations of
a two-dimensional hydrodynamic lattice comprised of millimetric droplets bouncing on the …

Pilot-wave dynamics: Using dynamic mode decomposition to characterize bifurcations, routes to chaos, and emergent statistics

JN Kutz, A Nachbin, PJ Baddoo, JWM Bush - Physical Review E, 2023 - APS
We develop a data-driven characterization of the pilot-wave hydrodynamic system in which
a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop …

Single-particle diffraction with a hydrodynamic pilot-wave model

G Pucci, A Bellaigue, A Cirimele, G Ali… - arXiv preprint arXiv …, 2024 - arxiv.org
A macroscopic hydrodynamic system that couples a particle and a wave has recently
renewed interest in the question as to what extent a classical system may reproduce …