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Horizon effects with surface waves on moving water | | Germain Rousseaux
; Philippe Maissa
; Christian Mathis
; Pierre Coullet
; Thomas G. Philbin
; Ulf Leonhardt
; | | Date: |
30 Apr 2010 | | 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 [R. Schuetzhold and W. G. Unruh W G, Phys. Rev. D
66 (2002) 044019]. A comprehensive presentation of the various horizon effects
for gravity-capillary waves is given, with emphasis on the deep water/long
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. | | Source: | arXiv, 1004.5546 | | Services: | Forum | Review | PDF | Favorites | |
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