Projects per year
Abstract
A millimetric droplet of silicone oil may bounce and self-propel on the free surface of a vertically vibrating fluid bath due to the droplet's interaction with its accompanying Faraday wave field. This hydrodynamic pilot-wave system exhibits many dynamics that were previously thought to be peculiar to the quantum realm. When the droplet is confined to a circular cavity, referred to as a 'corral', a range of dynamics may occur depending on the details of the geometry and the decay time of the subcritical Faraday waves. We herein present a theoretical investigation into the behaviour of subcritical Faraday waves in this geometry and explore the accompanying pilot-wave dynamics. By computing the Dirichlet-to-Neumann map for the velocity potential in the corral geometry, we can evolve the quasi-potential flow between successive droplet impacts, which, when coupled with a simplified model for the droplet's vertical motion, allows us to derive and implement a highly efficient discrete-time iterative map for the pilot-wave system. We study the onset of the Faraday instability, the emergence and quantisation of circular orbits and simulate the exotic dynamics that arises in smaller corrals.
Original language | English |
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Article number | A3 |
Journal | Journal of Fluid Mechanics |
Volume | 891 |
Early online date | 18 Mar 2020 |
DOIs | |
Publication status | Published - 25 May 2020 |
Keywords
- bifurcation
- drops
- Faraday waves
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
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Dive into the research topics of 'Faraday pilot-wave dynamics in a circular corral'. Together they form a unique fingerprint.Projects
- 2 Finished
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Hydrodynamic Pilot Waves in Complex and Random Geometries
Milewski, P. (PI)
1/03/18 → 29/02/20
Project: Research council
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Modelling, Computation ahnd Analysis of Droplets Guided by Faraday Waves: A Complex System with Macroscopic Quantum Analogies
Milewski, P. (PI)
Engineering and Physical Sciences Research Council
1/06/16 → 31/05/19
Project: Research council