Horizon effects with surface waves on moving water
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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.
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 . DOI: 10.1088/1367-2630/12/9/095018
New Journal of Physics
© 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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