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20162026
most citedRevisiting de Broglie's Double-Solution Pilot-Wave Theory with a Lorentz-Covariant Lagrangian Framework

11 citations · 21 across the 7 of their papers we have counts for

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physics.flu-dyn20251 cited

Capillary currents and viscous droplet spreading

David Darrow, Lucas Warwaruk, John W. M. Bush

We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting…

physics.flu-dyn2024

Diffraction of walking drops by a standing Faraday wave

Bauyrzhan K. Primkulov, Davis J. Evans, Valeri Frumkin +2

The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets w…

physics.flu-dyn20249 cited

Non-resonant effects in pilot-wave hydrodynamics

Bauyrzhan K. Primkulov, Davis J. Evans, Joel B. Been +1

Pilot-wave hydrodynamics concerns the dynamics of 'walkers,' droplets walking on a vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum analo…

physics.flu-dyn2024

Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell

Kyle I. McKee, John W. M. Bush

In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how t…

physics.flu-dyn2016

Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

Matthieu Labousse, Anand U. Oza, Stéhane Perrard +1

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking drople…