| Faraday pilot-wave dynamics in a circular corral | |
Durey M1,2; Milewski PA1; Wang Z(王展)3
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| Corresponding Author | Durey, Matthew([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2020-05-25 | |
| Volume | 891Pages:39 |
| ISSN | 0022-1120 |
| Abstract | A millimetric droplet of silicone oil may bounce and self-propel on the free surface of a vertically vibrating fluid bath due to the droplet's interaction with its accompanying Faraday wave field. This hydrodynamic pilot-wave system exhibits many dynamics that were previously thought to be peculiar to the quantum realm. When the droplet is confined to a circular cavity, referred to as a 'corral', a range of dynamics may occur depending on the details of the geometry and the decay time of the subcritical Faraday waves. We herein present a theoretical investigation into the behaviour of subcritical Faraday waves in this geometry and explore the accompanying pilot-wave dynamics. By computing the Dirichlet-to-Neumann map for the velocity potential in the corral geometry, we can evolve the quasi-potential flow between successive droplet impacts, which, when coupled with a simplified model for the droplet's vertical motion, allows us to derive and implement a highly efficient discrete-time iterative map for the pilot-wave system. We study the onset of the Faraday instability, the emergence and quantisation of circular orbits and simulate the exotic dynamics that arises in smaller corrals. |
| Keyword | Faraday waves drops bifurcation |
| DOI | 10.1017/jfm.2020.140 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000524934900001 |
| WOS Keyword | FREE-SURFACE FLOWS ; SELF-ORGANIZATION ; ROTATING-FRAME ; WALKING ; INSTABILITY ; STABILITY |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath (SAMBa)[EP/L015684/1] ; EPSRC[EP/N018176/1] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSWSYS015] |
| Funding Organization | EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath (SAMBa) ; EPSRC ; Key Research Program of Frontier Sciences, CAS |
| Classification | 一类/力学重要期刊 |
| Ranking | 3 |
| Contributor | Durey, Matthew |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/81871 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England; 2.MIT, Dept Math, Cambridge, MA 02139 USA; 3.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Durey M,Milewski PA,Wang Z. Faraday pilot-wave dynamics in a circular corral[J]. JOURNAL OF FLUID MECHANICS,2020,891:39.Rp_Au:Durey, Matthew |
| APA | Durey M,Milewski PA,&王展.(2020).Faraday pilot-wave dynamics in a circular corral.JOURNAL OF FLUID MECHANICS,891,39. |
| MLA | Durey M,et al."Faraday pilot-wave dynamics in a circular corral".JOURNAL OF FLUID MECHANICS 891(2020):39. |
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| File Name/Size | DocType | Version | Access | License | ||
| Jp2020101.pdf（1208KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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