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 emphasise 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, i.e., 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 "transplanckian distortion" of black/white holes.

arXiv comment5 pages, 5 figures. New "transplanckian effect" described. Several clarifications, additional figures and references. Published version

References in corpus (10)

• Analogue Gravity
• Measurement of stimulated Hawking emission in an analogue system
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Gravity wave analogs of black holes
• On the Universality of the Hawking Effect
• Horizon effects with surface waves on moving water
• Averaging theory for the structure of hydraulic jumps and separation in laminar free-surface flows
• The hydraulic jump as a white hole
• Standing and travelling waves in the shallow-water circular hydraulic jump
• Horizons and Ergoregions in Superfluids

Cited by in corpus (38)

• Observation of Stimulated Hawking Radiation in Optics
• Analogue simulations of quantum gravity with fluids
• Resonances of a rotating black hole analogue
• Rotating black holes in a draining bathtub: superradiant scattering of gravity waves
• Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection
• Quantum vacuum radiation in optical glass
• Probing the thermal character of analogue Hawking radiation for shallow water waves?
• Scattering by a draining bathtub vortex
• Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
• On the robustness of entanglement in analogue gravity systems
• Optical analogues of black-hole horizons
• Analogue Wormholes and Black Hole LASER Effect in Hydrodynamics
• Model For Polygonal Hydraulic Jumps
• Superradiant scattering of dispersive fields
• Diffusion in Curved Spacetimes
• Hydrodynamic superradiance in wave-mediated cooperative tunneling
• The Cerenkov effect revisited: from swimming ducks to zero modes in gravitational analogs
• Survey of analogue spacetimes
• Magnonic Analogue of Black/White Hole Horizon in Superfluid ${}^3$He-B
• Perturbing the vortex: quasinormal and quasibound spectra of rotating acoustic geometries
• The Basics of Water Waves Theory for Analogue Gravity
• On Spin Dependence of Relativistic Acoustic Geometry
• Classical Hydrodynamics for Analogue Spacetimes: Open Channel Flows and Thin Films
• Continuous hydraulic jumps in laminar channel flow
• Acoustic geometry obtained through the perturbation of the Bernoulli's constant
• Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena
• Viscous dissipation of surface waves and its relevance to analogue gravity experiments
• Dispersive censor of acoustic spacetimes with a shock-wave singularity
• Some aspects of dispersive horizons: lessons from surface waves
• Formation dynamics of black- and white-hole horizons in an analogue gravity model
• Emergent physics on Mach's principle and the rotating vacuum
• Vortices without inflow: bound spectra in horizonless rotational analogs
• Blue Holes and Froude Horizons: Circular Shallow Water Profiles for Astrophysical Analogs
• Analogue Hawking temperature of a laser-driven plasma
• Surface tension and instability in the hydrodynamic white hole of a circular hydraulic jump
• Acoustic black and white holes of potential flow in a tube
• The circular jump as a hydrodynamic white hole
• Studies on particle creation during the universe expansion with a laser system