Faraday pilot-wave dynamics

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

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/7aacb5f9-90b2-4c50-a1be-a291ad0a4ef8 • DOI: https://doi.org/10.1017/jfm.2015.386

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.

capillary waves drops Faraday waves