Strings of droplets propelled by coherent waves

Abstract

Bouncing walking droplets possess fascinating properties due to their peculiar wave/particule interaction. In order to study such walkers in a 1d system, we considered the case of one or more droplets in an annular cavity. We show that, in this geometry, walking droplets form a string of synchronized bouncing droplets that share a common coherent wave propelling the group at a speed faster than single walkers. The formation of this coherent wave and the collective behavior of droplets is captured by a model.

5 Pages, 5 Figures, 2 supplementary movies (identical), supplementary .pdf file

References in corpus (2)

• Interaction of two walkers: Wave-mediated energy and force
• Non-Hamiltonian features of a classical pilot-wave dynamics

Cited by in corpus (16)

• Superwalking droplets
• Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers
• Collective vibrations of confined levitating droplets
• Tunable bimodal explorations of space from memory-driven deterministic dynamics
• Hong-Ou-Mandel-like two-droplet correlations
• Neimark--Sacker bifurcation and evidence of chaos in a discrete dynamical model of walkers
• Self-propulsion and crossing statistics under random initial conditions
• Waveguides for walking droplets
• Scattering theory of walking droplets in the presence of obstacles
• Walking Droplets Through the Lens of Dynamical Systems
• Standard map-like models for single and multiple walkers in an annular cavity
• Quantized orbital-chasing liquid metal heterodimers directed by an integrated pilot-wave field
• Overload wave-memory induces amnesia of a self-propelled particle
• Damped-driven system of bouncing droplets leading to deterministic diffusive behavior
• Statistical self-organization of a gas of interacting walking drops in a confining potential
• Bragg's reflection for walking droplets in 1D crystals