Faraday pilot-wave dynamics: Modelling and computation

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

Research output: Contribution to journalArticlepeer-review

65 Scopus citations

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 (US)
Pages (from-to)361-388
Number of pages28
JournalJournal of Fluid Mechanics
Volume778
DOIs
StatePublished - Jul 31 2015

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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