Wavelike statistics from pilot-wave dynamics in a circular corral
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 investiga...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/80700 https://orcid.org/0000-0002-7936-7256 |
| _version_ | 1826203046126813184 |
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| author | Moukhtar, Julien Fort, Emmanuel Couder, Yves Bush, John W. M. Harris, Daniel Martin |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Moukhtar, Julien Fort, Emmanuel Couder, Yves Bush, John W. M. Harris, Daniel Martin |
| author_sort | Moukhtar, Julien |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:30:31Z |
| format | Article |
| id | mit-1721.1/80700 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:30:31Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/807002022-09-28T08:10:49Z Wavelike statistics from pilot-wave dynamics in a circular corral Moukhtar, Julien Fort, Emmanuel Couder, Yves Bush, John W. M. Harris, Daniel Martin Massachusetts Institute of Technology. Department of Mathematics Harris, Daniel Martin Bush, John W. M. 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. National Science Foundation (U.S.) MIT-France Program 2013-09-12T20:54:10Z 2013-09-12T20:54:10Z 2013-07 2013-05 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/80700 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). https://orcid.org/0000-0002-7936-7256 en_US http://dx.doi.org/10.1103/PhysRevE.88.011001 Physical Review E 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. application/pdf American Physical Society APS |
| spellingShingle | Moukhtar, Julien Fort, Emmanuel Couder, Yves Bush, John W. M. Harris, Daniel Martin Wavelike statistics from pilot-wave dynamics in a circular corral |
| title | Wavelike statistics from pilot-wave dynamics in a circular corral |
| title_full | Wavelike statistics from pilot-wave dynamics in a circular corral |
| title_fullStr | Wavelike statistics from pilot-wave dynamics in a circular corral |
| title_full_unstemmed | Wavelike statistics from pilot-wave dynamics in a circular corral |
| title_short | Wavelike statistics from pilot-wave dynamics in a circular corral |
| title_sort | wavelike statistics from pilot wave dynamics in a circular corral |
| url | http://hdl.handle.net/1721.1/80700 https://orcid.org/0000-0002-7936-7256 |
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