Faraday pilot-wave dynamics: modelling and computation
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Milewski-CG-AN-Bush.pdf
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1.79 MB
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Checksum (MD5)
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Author(s)
Milewski, Paul A.
Galeano-Rios, Carlos A.
Nachbin, André
Bush, John W. M.
Date Issued
July 2015
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
Milewski, Paul A. et al. “Faraday Pilot-Wave Dynamics: Modelling and Computation.” Journal of Fluid Mechanics 778 (2015): 361–388.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/jfm.2015.386
