Resonant interactions in bouncing droplet chains
In a pioneering series of experiments, Yves Couder, Emmanuel Fort and coworkers demonstrated that droplets bouncing on the surface of a vertically vibrating fluid bath exhibit phenomena reminiscent of those observed in the microscopic quantum realm. Inspired by this discovery, we here conduct a theo...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-11-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.30/ |
| _version_ | 1827785176295407616 |
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| author | Barnes, Lauren Pucci, Giuseppe Oza, Anand U. |
| author_facet | Barnes, Lauren Pucci, Giuseppe Oza, Anand U. |
| author_sort | Barnes, Lauren |
| collection | DOAJ |
| description | In a pioneering series of experiments, Yves Couder, Emmanuel Fort and coworkers demonstrated that droplets bouncing on the surface of a vertically vibrating fluid bath exhibit phenomena reminiscent of those observed in the microscopic quantum realm. Inspired by this discovery, we here conduct a theoretical and numerical investigation into the structure and dynamics of one-dimensional chains of bouncing droplets. We demonstrate that such chains undergo an oscillatory instability as the system’s wave-induced memory is increased progressively. The predicted oscillation frequency compares well with previously reported experimental data. We then investigate the resonant oscillations excited in the chain when the drop at one end is subjected to periodic forcing in the horizontal direction. At relatively high memory, the drops may oscillate with an amplitude larger than that prescribed, suggesting that the drops effectively extract energy from the collective wave field. We also find that dynamic stabilization of new bouncing states can be achieved by forcing the chain at high frequency. Generally, our work provides insight into the collective behavior of particles interacting through long-range and temporally nonlocal forces. |
| first_indexed | 2024-03-11T16:15:21Z |
| format | Article |
| id | doaj.art-987c255177744835a2ca9b52c47c1bf8 |
| institution | Directory Open Access Journal |
| issn | 1873-7234 |
| language | English |
| last_indexed | 2024-03-11T16:15:21Z |
| publishDate | 2020-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj.art-987c255177744835a2ca9b52c47c1bf82023-10-24T14:20:55ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342020-11-013486-757358910.5802/crmeca.3010.5802/crmeca.30Resonant interactions in bouncing droplet chainsBarnes, Lauren0Pucci, Giuseppe1https://orcid.org/0000-0001-6621-3277Oza, Anand U.2https://orcid.org/0000-0002-9079-9172Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USAUniversité de Rennes 1, CNRS, IPR (Institut de Physique de Rennes) UMR 6251, F-35000 Rennes, FranceDepartment of Mathematical Sciences & Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, New Jersey 07102, USAIn a pioneering series of experiments, Yves Couder, Emmanuel Fort and coworkers demonstrated that droplets bouncing on the surface of a vertically vibrating fluid bath exhibit phenomena reminiscent of those observed in the microscopic quantum realm. Inspired by this discovery, we here conduct a theoretical and numerical investigation into the structure and dynamics of one-dimensional chains of bouncing droplets. We demonstrate that such chains undergo an oscillatory instability as the system’s wave-induced memory is increased progressively. The predicted oscillation frequency compares well with previously reported experimental data. We then investigate the resonant oscillations excited in the chain when the drop at one end is subjected to periodic forcing in the horizontal direction. At relatively high memory, the drops may oscillate with an amplitude larger than that prescribed, suggesting that the drops effectively extract energy from the collective wave field. We also find that dynamic stabilization of new bouncing states can be achieved by forcing the chain at high frequency. Generally, our work provides insight into the collective behavior of particles interacting through long-range and temporally nonlocal forces.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.30/Pilot-wave hydrodynamicsWalking dropletsNonlinear dynamicsDrop interactionsCollective dynamicsNon-equilibrium systems |
| spellingShingle | Barnes, Lauren Pucci, Giuseppe Oza, Anand U. Resonant interactions in bouncing droplet chains Comptes Rendus. Mécanique Pilot-wave hydrodynamics Walking droplets Nonlinear dynamics Drop interactions Collective dynamics Non-equilibrium systems |
| title | Resonant interactions in bouncing droplet chains |
| title_full | Resonant interactions in bouncing droplet chains |
| title_fullStr | Resonant interactions in bouncing droplet chains |
| title_full_unstemmed | Resonant interactions in bouncing droplet chains |
| title_short | Resonant interactions in bouncing droplet chains |
| title_sort | resonant interactions in bouncing droplet chains |
| topic | Pilot-wave hydrodynamics Walking droplets Nonlinear dynamics Drop interactions Collective dynamics Non-equilibrium systems |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.30/ |
| work_keys_str_mv | AT barneslauren resonantinteractionsinbouncingdropletchains AT puccigiuseppe resonantinteractionsinbouncingdropletchains AT ozaanandu resonantinteractionsinbouncingdropletchains |