Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole - Université Côte d'Azur Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2011

Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole

Abstract

We provide an experimental demonstration that the circular hydraulic jump represents a hydrodynamic white hole or gravitational fountain ( the time reverse of a black hole) by measuring the angle of the Mach cone created by an object in the "supersonic" inner flow region. We emphasize the general character of this gravitational analogy by showing theoretically that the white hole horizon constitutes a stationary and spatial saddle-node bifurcation within dynamical-systems theory. We also demonstrate that the inner region has a "superluminal" dispersion relation, that is, that the group velocity of the surface waves increases with frequency, and discuss some possible consequences with respect to the robustness of Hawking radiation. Finally, we point out that our experiment shows a concrete example of a possible "trans-Planckian distortion" of black or white holes.

Dates and versions

hal-00909977 , version 1 (27-11-2013)

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Gilles Jannes, Robert Piquet, Philippe Maïssa, Christian Mathis, Germain Rousseaux. Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2011, 83, pp.056312. ⟨10.1103/PhysRevE.83.056312⟩. ⟨hal-00909977⟩
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