Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits
We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady o...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/101774 https://orcid.org/0000-0002-7936-7256 |
| _version_ | 1826188222747639808 |
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| author | Labousse, M. Oza, Anand Uttam Perrard, S. Bush, John W. M. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Labousse, M. Oza, Anand Uttam Perrard, S. Bush, John W. M. |
| author_sort | Labousse, M. |
| collection | MIT |
| description | We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady orbital solutions. Predictions for the dependence of the orbital radius and frequency on the strength of the radial harmonic force field agree favorably with experimental data. The orbital quantization is rationalized through an analysis of the orbital solutions. The predicted dependence of the orbital stability on system parameters is compared with experimental data and the limitations of the model are discussed. |
| first_indexed | 2024-09-23T07:56:25Z |
| format | Article |
| id | mit-1721.1/101774 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T07:56:25Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1017742022-09-23T09:46:02Z Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits Labousse, M. Oza, Anand Uttam Perrard, S. Bush, John W. M. Massachusetts Institute of Technology. Department of Mathematics Bush, John W. M. We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady orbital solutions. Predictions for the dependence of the orbital radius and frequency on the strength of the radial harmonic force field agree favorably with experimental data. The orbital quantization is rationalized through an analysis of the orbital solutions. The predicted dependence of the orbital stability on system parameters is compared with experimental data and the limitations of the model are discussed. National Science Foundation (U.S.) (Grant CMMI-1333242) 2016-03-24T15:43:11Z 2016-03-24T15:43:11Z 2016-03 2015-11 2016-03-23T22:00:15Z Article http://purl.org/eprint/type/JournalArticle 2470-0045 2470-0053 http://hdl.handle.net/1721.1/101774 Labousse, M., A. U. Oza, S. Perrard, and J. W. M. Bush. “Pilot-Wave Dynamics in a Harmonic Potential: Quantization and Stability of Circular Orbits.” Phys. Rev. E 93, no. 3 (March 23, 2016). © 2016 American Physical Society https://orcid.org/0000-0002-7936-7256 en http://dx.doi.org/10.1103/PhysRevE.93.033122 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Labousse, M. Oza, Anand Uttam Perrard, S. Bush, John W. M. Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title | Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title_full | Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title_fullStr | Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title_full_unstemmed | Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title_short | Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits |
| title_sort | pilot wave dynamics in a harmonic potential quantization and stability of circular orbits |
| url | http://hdl.handle.net/1721.1/101774 https://orcid.org/0000-0002-7936-7256 |
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