Wavelike statistics from pilot-wave dynamics in a circular corral
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Bush_Wavelike statistics.pdf
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1.94 MB
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Author(s)
Moukhtar, Julien
Fort, Emmanuel
Couder, Yves
Bush, John W. M.
Harris, Daniel Martin
Date Issued
July 2013
Journal
Physical Review E
Publisher
American Physical Society
Citation
Harris, Daniel M., Julien Moukhtar, Emmanuel Fort, Yves Couder, and John W. M. Bush. “Wavelike statistics from pilot-wave dynamics in a circular corral.” Physical Review E 88, no. 1 (July 2013).
Version
Final published version
Abstract
Bouncing droplets can self-propel laterally along the surface of a vibrated fluid bath by virtue of a resonant interaction with their own wave field. The resulting walking droplets exhibit features reminiscent of microscopic quantum particles. Here we present the results of an experimental investigation of droplets walking in a circular corral. We demonstrate that a coherent wavelike statistical behavior emerges from the complex underlying dynamics and that the probability distribution is prescribed by the Faraday wave mode of the corral. The statistical behavior of the walking droplets is demonstrated to be analogous to that of electrons in quantum corrals.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.88.011001
