Diffraction of walking drops by a standing Faraday wave
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913627193212928 |
|---|---|
| author | Primkulov, Bauyrzhan K. Evans, Davis J. Frumkin, Valeri Sáenz, Pedro J. Bush, John W. M. |
| author_facet | Primkulov, Bauyrzhan K. Evans, Davis J. Frumkin, Valeri Sáenz, Pedro J. Bush, John W. M. |
| contents | The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets walking across the surface of a vibrating liquid bath are deflected by a standing Faraday wave. We show that, in certain parameter regimes, the statistical distribution of the droplet deflection angles reveals a diffraction pattern reminiscent of that observed in the Kapitza-Dirac effect. Through experiments and simulations, we show that the diffraction pattern results from the complex interactions of the droplets with the standing wave. Our study highlights non-resonant effects associated with the detuning of the droplet bouncing and the bath vibration, which are shown to lead to drop speed variations and droplet sorting according to the droplet's phase of impact. We discuss the similarities and differences between our hydrodynamic system and the discrete and continuum interpretations of the Kapitza-Dirac effect, and introduce the notion of ponderomotive effects in pilot-wave hydrodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18936 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffraction of walking drops by a standing Faraday wave Primkulov, Bauyrzhan K. Evans, Davis J. Frumkin, Valeri Sáenz, Pedro J. Bush, John W. M. Fluid Dynamics Chaotic Dynamics Quantum Physics The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets walking across the surface of a vibrating liquid bath are deflected by a standing Faraday wave. We show that, in certain parameter regimes, the statistical distribution of the droplet deflection angles reveals a diffraction pattern reminiscent of that observed in the Kapitza-Dirac effect. Through experiments and simulations, we show that the diffraction pattern results from the complex interactions of the droplets with the standing wave. Our study highlights non-resonant effects associated with the detuning of the droplet bouncing and the bath vibration, which are shown to lead to drop speed variations and droplet sorting according to the droplet's phase of impact. We discuss the similarities and differences between our hydrodynamic system and the discrete and continuum interpretations of the Kapitza-Dirac effect, and introduce the notion of ponderomotive effects in pilot-wave hydrodynamics. |
| title | Diffraction of walking drops by a standing Faraday wave |
| topic | Fluid Dynamics Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2412.18936 |