Draft:Kelvin wave
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Comment: Some suggestions to improve the article: what is a "dynamical helical deformation"? Why are Kelvin waves significant? What applications/consequences do they have? What does "direct spatiotemporal visualization" mean, and do simpler synonyms exist? Thanks. msk 16:25, 2 October 2026 (UTC)
A Kelvin wave is a dynamical helical deformation of a vortex line, first introduced by Lord Kelvin in 1880.[1]. Although Kelvin's original argument assumes a homogeneous, incompressible, and inviscid fluid, Kelvin waves emerge in many different types of fluids, including water, superfluid helium, and cold atomic Bose–Einstein condensates.
Kelvin waves in classical fluids
[edit]Kelvin waves were first observed experimentally in a classical fluid (water) in 1980[2], followed in 1982 by a clearer manifestation of the helical deformation of a vortex core[3]. Their basic properties, including the dispersion relation, were experimentally characterized much later, in 2026[4].
Kelvin waves in superfluid helium-4
[edit]Kelvin waves in superfluid helium-4 were first directly observed in 2014[5], followed by their controlled excitation, clear three-dimensional visualization, and quantitative characterization in 2025[6]
Kevin waves in ultracold atomic Bose-Einstein condensates
[edit]Kelvin waves have been detected in ultracold atomic Bose–Einstein condensates[7][8], although direct spatiotemporal visualization of propagating helical Kelvin waves has not yet been achieved.
References
[edit]- ↑ Thomson, William (1880-09-01). "XXIV. Vibrations of a columnar vortex". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 10 (61): 155–168. doi:10.1080/14786448008626912. ISSN 1941-5982.
- ↑ Keller, Jakob J.; Escudier, M. P. (1980-08-14). "Theory and observations of waves on hollow-core vortices". Journal of Fluid Mechanics. 99 (3): 495–511. doi:10.1017/S0022112080000730. ISSN 0022-1120.
- ↑ Hopfinger, E. J.; Browand, F. K. (1982-02-04). "Vortex solitary waves in a rotating, turbulent flow". Nature. 295 (5848): 393–395. doi:10.1038/295393a0. ISSN 0028-0836.
- ↑ Barckicke, Jason; Falcon, Eric; Gissinger, Christophe (2026-02-10). "Kelvin wave propagation along vortex cores". Nature Physics. 22 (3): 409–414. doi:10.1038/s41567-026-03175-w. ISSN 1745-2473.
- ↑ Fonda, Enrico; Meichle, David P.; Ouellette, Nicholas T.; Hormoz, Sahand; Lathrop, Daniel P. (2014-03-25). "Direct observation of Kelvin waves excited by quantized vortex reconnection". Proceedings of the National Academy of Sciences. 111 (supplement_1): 4707–4710. doi:10.1073/pnas.1312536110. ISSN 0027-8424.
- ↑ Minowa, Yosuke; Yasui, Yuki; Nakagawa, Tomo; Inui, Sosuke; Tsubota, Makoto; Ashida, Masaaki (2025-01-13). "Direct excitation of Kelvin waves on quantized vortices". Nature Physics. 21 (2): 233–238. doi:10.1038/s41567-024-02720-9. ISSN 1745-2473.
- ↑ Bretin, V.; Rosenbusch, P.; Chevy, F.; Shlyapnikov, G. V.; Dalibard, J. (2003-03-12). "Quadrupole Oscillation of a Single-Vortex Bose-Einstein Condensate: Evidence for Kelvin Modes". Physical Review Letters. 90 (10). doi:10.1103/PhysRevLett.90.100403. ISSN 0031-9007.
- ↑ Smith, N. L.; Heathcote, W. H.; Krueger, J. M.; Foot, C. J. (2004-08-20). "Experimental Observation of the Tilting Mode of an Array of Vortices in a Dilute Bose-Einstein Condensate". Physical Review Letters. 93 (8). doi:10.1103/PhysRevLett.93.080406. ISSN 0031-9007.