Faraday pilot-wave dynamics

modelling and computation

Paul A. Milewski, Carlos A. Galeano-Rios, André Nachbin, John W M Bush

Research output: Contribution to journalArticle

39 Citations (Scopus)
123 Downloads (Pure)

Abstract

A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant interaction with its own wave field. This system represents the first known example of a pilot-wave system of the form envisaged by Louis de Broglie in his double-solution pilot-wave theory. We here develop a fluid model of pilot-wave hydrodynamics by coupling recent models of the droplet's bouncing dynamics with a more realistic model of weakly viscous quasi-potential wave generation and evolution. The resulting model is the first to capture a number of features reported in experiment, including the rapid transient wave generated during impact, the Doppler effect and walker-walker interactions.

Original languageEnglish
Pages (from-to)361-388
Number of pages28
JournalJournal of Fluid Mechanics
Volume778
DOIs
Publication statusPublished - Sep 2015

Fingerprint

Doppler effect
wave generation
fluids
Fluids
baths
hydrodynamics
interactions
Hydrodynamics
Experiments

Keywords

  • capillary waves
  • drops
  • Faraday waves

Cite this

Faraday pilot-wave dynamics : modelling and computation. / Milewski, Paul A.; Galeano-Rios, Carlos A.; Nachbin, André; Bush, John W M.

In: Journal of Fluid Mechanics, Vol. 778, 09.2015, p. 361-388.

Research output: Contribution to journalArticle

Milewski, Paul A. ; Galeano-Rios, Carlos A. ; Nachbin, André ; Bush, John W M. / Faraday pilot-wave dynamics : modelling and computation. In: Journal of Fluid Mechanics. 2015 ; Vol. 778. pp. 361-388.
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