Hydrodynamic spin states
We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet walking on a vertically vibrating fluid bath executes orbital motion despite the absence of an applied external field. In this regime, the walker's self-generated wave force is sufficiently stro...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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AIP Publishing
2020
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| Online Access: | https://hdl.handle.net/1721.1/123525 |
| _version_ | 1826213682213814272 |
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| author | Ova, Anand U. Rosales, Rodolfo Bush, John W. M. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Ova, Anand U. Rosales, Rodolfo Bush, John W. M. |
| author_sort | Ova, Anand U. |
| collection | MIT |
| description | We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet walking on a vertically vibrating fluid bath executes orbital motion despite the absence of an applied external field. In this regime, the walker's self-generated wave force is sufficiently strong to confine the walker to a circular orbit. We use an integro-differential trajectory equation for the droplet's horizontal motion to specify the parameter regimes for which the innermost spin state can be stabilized. Stable spin states are shown to exhibit an analog of the Zeeman effect from quantum mechanics when they are placed in a rotating frame. |
| first_indexed | 2024-09-23T15:53:09Z |
| format | Article |
| id | mit-1721.1/123525 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:53:09Z |
| publishDate | 2020 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1235252022-09-29T16:49:41Z Hydrodynamic spin states Ova, Anand U. Rosales, Rodolfo Bush, John W. M. Massachusetts Institute of Technology. Department of Mathematics We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet walking on a vertically vibrating fluid bath executes orbital motion despite the absence of an applied external field. In this regime, the walker's self-generated wave force is sufficiently strong to confine the walker to a circular orbit. We use an integro-differential trajectory equation for the droplet's horizontal motion to specify the parameter regimes for which the innermost spin state can be stabilized. Stable spin states are shown to exhibit an analog of the Zeeman effect from quantum mechanics when they are placed in a rotating frame. National Science Foundation (U.S.) (Grant DMS-1614043) National Science Foundation (U.S.) (Grant CMMI–1727565) National Science Foundation (U.S.) (Grant DMS-1719637) 2020-01-22T16:46:31Z 2020-01-22T16:46:31Z 2018-09 2018-06 2019-11-08T18:34:54Z Article http://purl.org/eprint/type/JournalArticle 1054-1500 1089-7682 https://hdl.handle.net/1721.1/123525 Ova, Anand U. et al. "Hydrodynamic spin states." Chaos 28, 9 (September 2018): 096106 © 2018 Author(s) en http://dx.doi.org/10.1063/1.5034134 Chaos 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 AIP Publishing other univ website |
| spellingShingle | Ova, Anand U. Rosales, Rodolfo Bush, John W. M. Hydrodynamic spin states |
| title | Hydrodynamic spin states |
| title_full | Hydrodynamic spin states |
| title_fullStr | Hydrodynamic spin states |
| title_full_unstemmed | Hydrodynamic spin states |
| title_short | Hydrodynamic spin states |
| title_sort | hydrodynamic spin states |
| url | https://hdl.handle.net/1721.1/123525 |
| work_keys_str_mv | AT ovaanandu hydrodynamicspinstates AT rosalesrodolfo hydrodynamicspinstates AT bushjohnwm hydrodynamicspinstates |