Probing the thermal character of analogue Hawking radiation for shallow water waves?
arXiv:1404.7482 · doi:10.1103/PhysRevD.90.044033
Abstract
We study and numerically compute the scattering coefficients of shallow water waves blocked by a stationary counterflow. When the flow is transcritical, the coefficients closely follow Hawking's prediction according to which black holes should emit a thermal spectrum. We study how the spectrum deviates from thermality when reducing the maximal flow velocity, with a particular attention to subcritical flows since these have been recently used to test Hawking's prediction. For such flows, we show that the emission spectrum is strongly suppressed, and that its Planckian character is completely lost. For low frequencies, we also show that the scattering coefficients are dominated by elastic hydrodynamical channels. Our numerical results reproduce rather well the observations made by S. Weinfurtner {\it et al.} in the Vancouver experiment. Nevertheless, we propose a new interpretation of what has been observed, as well as new experimental tests.
arXiv comment23 pages, 14 figures, 2 figures updated to match the PRD version, final version published in Physical Review D
References in corpus (22)
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Measurement of stimulated Hawking emission in an analogue system
- Hawking Spectrum and High Frequency Dispersion
- A Primer for Black Hole Quantum Physics
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Gravity wave analogs of black holes
- Hawking Radiation Without Transplanckian Frequencies
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- Black/White hole radiation from dispersive theories
- The theory of Hawking radiation in laboratory analogues
- Generalised superradiant scattering
- Black hole radiation with short distance dispersion, an analytical S-matrix approach
- Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole
- Resonant Hawking radiation in Bose-Einstein condensates
- Hawking radiation in dispersive theories, the two regimes
- Spectral properties of acoustic black hole radiation: Broadening the horizon
- Has Hawking radiation been measured?
- Undulations from amplified low frequency surface waves
- Particle creation and non-adiabatic transitions in quantum cosmology
- On the robustness of acoustic black hole spectra
- Hawking Radiation in Dispersive Media
- Irrotational, two-dimensional Surface waves in fluids
Cited by in corpus (32)
- An acoustic black hole in a stationary hydrodynamic flow of microcavity polaritons
- Observation of noise correlated by the Hawking effect in a water tank
- Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
- Scattering of co-current surface waves on an analogue black hole
- Wave blocking and partial transmission in subcritical flows over an obstacle
- Numerical study of a recent black hole lasing experiment
- The imprint of the analogue Hawking effect in subcritical flows
- Black hole radiation in the presence of a universal horizon
- Hawking radiation with dispersion: The broadened horizon paradigm
- Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
- Low frequency analogue Hawking radiation: The Korteweg-de Vries model
- Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
- On the Limits of Experimental Knowledge
- Scattering of gravity waves in subcritical flows over an obstacle
- Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light
- Analogue Quantum Simulation: A New Instrument for Scientific Understanding
- Tunneling method for Hawking quanta in analogue gravity
- Integral method for the calculation of Hawking radiation in dispersive media I. Symmetric asymptotics
- Classical Hydrodynamics for Analogue Spacetimes: Open Channel Flows and Thin Films
- Slow Sound in a duct, effective transonic flows and analogue black holes
- Suppression of infrared instability in trans-sonic flows by condensation of zero-frequency short wave length phonons
- (2+1)$-dimensional sonic black hole from spin-orbit coupled Bose-Einstein condensate and its analogue Hawking radiation
- Viscous dissipation of surface waves and its relevance to analogue gravity experiments
- An exact solution for the Hawking effect in a dispersive fluid
- Gravity waves on modulated flows downstream from an obstacle: The transcritical case
- Four-wave mixing and enhanced analogue Hawking effect in a nonlinear optical waveguide
- Robustness of entanglement in Hawking radiation for optical systems immersed in thermal baths
- Perturbative Approach to Analog Hawking Radiation in dielectric media in subcritical regime
- The CR Volume for Black Holes and the Corresponding Entropy Variation: A Review
- Optical Black-hole Analog Created by Topological Phase Transition with a Long-lived Horizon
- Analogue gravity and radial fluid flows: The case of AdS and its deformations
- Analogue Black Holes in Reactive Molecules