Classical pilot-wave dynamics: The free particle
© 2021 Author(s). We present the results of a theoretical investigation into the dynamics of a vibrating particle propelled by its self-induced wave field. Inspired by the hydrodynamic pilot-wave system discovered by Yves Couder and Emmanuel Fort, the idealized pilot-wave system considered here cons...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/134386 |
| _version_ | 1826193186112929792 |
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| author | Durey, Matthew Bush, John WM |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Durey, Matthew Bush, John WM |
| author_sort | Durey, Matthew |
| collection | MIT |
| description | © 2021 Author(s). We present the results of a theoretical investigation into the dynamics of a vibrating particle propelled by its self-induced wave field. Inspired by the hydrodynamic pilot-wave system discovered by Yves Couder and Emmanuel Fort, the idealized pilot-wave system considered here consists of a particle guided by the slope of its quasi-monochromatic "pilot"wave, which encodes the history of the particle motion. We characterize this idealized pilot-wave system in terms of two dimensionless groups that prescribe the relative importance of particle inertia, drag and wave forcing. Prior work has delineated regimes in which self-propulsion of the free particle leads to steady or oscillatory rectilinear motion; it has further revealed parameter regimes in which the particle executes a stable circular orbit, confined by its pilot wave. We here report a number of new dynamical states in which the free particle executes self-induced wobbling and precessing orbital motion. We also explore the statistics of the chaotic regime arising when the time scale of the wave decay is long relative to that of particle motion and characterize the diffusive and rotational nature of the resultant particle dynamics. We thus present a detailed characterization of free-particle motion in this rich two-parameter family of dynamical systems. |
| first_indexed | 2024-09-23T09:35:05Z |
| format | Article |
| id | mit-1721.1/134386 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:35:05Z |
| publishDate | 2021 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1343862023-03-01T21:30:46Z Classical pilot-wave dynamics: The free particle Durey, Matthew Bush, John WM Massachusetts Institute of Technology. Department of Mathematics © 2021 Author(s). We present the results of a theoretical investigation into the dynamics of a vibrating particle propelled by its self-induced wave field. Inspired by the hydrodynamic pilot-wave system discovered by Yves Couder and Emmanuel Fort, the idealized pilot-wave system considered here consists of a particle guided by the slope of its quasi-monochromatic "pilot"wave, which encodes the history of the particle motion. We characterize this idealized pilot-wave system in terms of two dimensionless groups that prescribe the relative importance of particle inertia, drag and wave forcing. Prior work has delineated regimes in which self-propulsion of the free particle leads to steady or oscillatory rectilinear motion; it has further revealed parameter regimes in which the particle executes a stable circular orbit, confined by its pilot wave. We here report a number of new dynamical states in which the free particle executes self-induced wobbling and precessing orbital motion. We also explore the statistics of the chaotic regime arising when the time scale of the wave decay is long relative to that of particle motion and characterize the diffusive and rotational nature of the resultant particle dynamics. We thus present a detailed characterization of free-particle motion in this rich two-parameter family of dynamical systems. 2021-10-27T20:04:46Z 2021-10-27T20:04:46Z 2021 2021-05-18T14:12:30Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134386 en 10.1063/5.0039975 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 MIT web domain |
| spellingShingle | Durey, Matthew Bush, John WM Classical pilot-wave dynamics: The free particle |
| title | Classical pilot-wave dynamics: The free particle |
| title_full | Classical pilot-wave dynamics: The free particle |
| title_fullStr | Classical pilot-wave dynamics: The free particle |
| title_full_unstemmed | Classical pilot-wave dynamics: The free particle |
| title_short | Classical pilot-wave dynamics: The free particle |
| title_sort | classical pilot wave dynamics the free particle |
| url | https://hdl.handle.net/1721.1/134386 |
| work_keys_str_mv | AT dureymatthew classicalpilotwavedynamicsthefreeparticle AT bushjohnwm classicalpilotwavedynamicsthefreeparticle |