Horizon effects with surface waves on moving water
Germain Rousseaux,Philippe Maïssa,Christian Mathis,Pierre Coullet,Thomas G. Philbin,Ulf Leonhardt +5 more
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Schutzhold and Unruh as mentioned in this paper considered surface waves on a stationary flow of water in a linear model that includes the surface tension of the fluid, and the resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the flow.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 (Schutzhold 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 kh1, 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.read more
Citations
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Measurement of stimulated Hawking emission in an analogue system.
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Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: a hydrodynamic white hole.
Gilles Jannes,Robert Piquet,Robert Piquet,Philippe Maïssa,Christian Mathis,Germain Rousseaux +5 more
TL;DR: It is demonstrated that the inner region has a "superluminal" dispersion relation, that is, that the group velocity of the surface waves increases with frequency, and some possible consequences with respect to the robustness of Hawking radiation are discussed.
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