Water-Wave Vortices and Skyrmions
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arXiv
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| Format: | Preprint |
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2023
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| author | Smirnova, Daria A. Nori, Franco Bliokh, Konstantin Y. |
| author_facet | Smirnova, Daria A. Nori, Franco Bliokh, Konstantin Y. |
| contents | Topological wave structures -- phase vortices, skyrmions, merons, etc. -- are attracting enormous attention in a variety of quantum and classical wave fields. Surprisingly, these structures have never been properly explored in the most obvious example of classical waves: water-surface (gravity-capillary) waves. Here we fill this gap and describe: (i) water-wave vortices of different orders carrying quantized angular momentum with orbital and spin contributions, (ii) skyrmion lattices formed by the instantaneous displacements of the water-surface particles in wave interference, (iii) meron (half-skyrmion) lattices formed by the spin density vectors, as well as (iv) spatiotemporal water-wave vortices and skyrmions. We show that all these topological entities can be readily generated in linear water-wave interference experiments. Our findings can find applications in microfluidics and show that water waves can be employed as an attainable playground for emulating universal topological wave phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03520 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Water-Wave Vortices and Skyrmions Smirnova, Daria A. Nori, Franco Bliokh, Konstantin Y. Fluid Dynamics Classical Physics Topological wave structures -- phase vortices, skyrmions, merons, etc. -- are attracting enormous attention in a variety of quantum and classical wave fields. Surprisingly, these structures have never been properly explored in the most obvious example of classical waves: water-surface (gravity-capillary) waves. Here we fill this gap and describe: (i) water-wave vortices of different orders carrying quantized angular momentum with orbital and spin contributions, (ii) skyrmion lattices formed by the instantaneous displacements of the water-surface particles in wave interference, (iii) meron (half-skyrmion) lattices formed by the spin density vectors, as well as (iv) spatiotemporal water-wave vortices and skyrmions. We show that all these topological entities can be readily generated in linear water-wave interference experiments. Our findings can find applications in microfluidics and show that water waves can be employed as an attainable playground for emulating universal topological wave phenomena. |
| title | Water-Wave Vortices and Skyrmions |
| topic | Fluid Dynamics Classical Physics |
| url | https://arxiv.org/abs/2308.03520 |