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Horizon effects with surface waves on moving water

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095018.pdf (1.248Mb)
Date
09/2010
Author
Rousseau, G.
Maissa, P.
Coullet, P.
Philbin, Thomas Gerard
Leonhardt, Ulf
Keywords
Surface waves
Surface tension
Horizon effects
Analogue gravity
Gravity capillary waves
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Abstract
Surface waves on a stationary flow of water are considered in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the flow. In some cases, three horizons (points where the group velocity of the wave reverses) exist for waves with a single laboratory frequency. Some of these effects are familiar in fluid mechanics under the name of wave blocking, but other aspects, in particular waves with negative co-moving frequency and the Hawking effect, were overlooked until surface waves were investigated as examples of analogue gravity (Schützhold R and Unruh W G 2002 Phys. Rev. D 66 044019). A comprehensive presentation of the various horizon effects for gravity-capillary waves is given, with emphasis on the deep water/ short wavelength case kh>>1, where many analytical results can be derived. A similarity of the state space of the waves to that of a thermodynamic system is pointed out.
Citation
Rousseau , G , Maissa , P , Coullet , P , Philbin , T G & Leonhardt , U 2010 , ' Horizon effects with surface waves on moving water ' , New Journal of Physics , vol. 12 , 095018 . https://doi.org/10.1088/1367-2630/12/9/095018
Publication
New Journal of Physics
Status
Peer reviewed
DOI
https://doi.org/10.1088/1367-2630/12/9/095018
ISSN
1367-2630
Type
Journal article
Rights
© 2010 IOP Publishing and Deutsche Physikalische Gesellschaft. Germain Rousseaux et al 2010 New J. Phys. 12 095018. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/4403

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