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.
23 pages, 14 figures, 2 figures updated to match the PRD version, final version published in Physical Review D
References in corpus (7)
- Measurement of stimulated Hawking emission in an analogue system
- A Primer for Black Hole Quantum Physics
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Black/White hole radiation from dispersive theories
- 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 Media
Cited by in corpus (16)
- Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
- Black hole radiation in the presence of a universal horizon
- 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
- 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
- Suppression of infrared instability in trans-sonic flows by condensation of zero-frequency short wave length phonons
- An exact solution for the Hawking effect in a dispersive fluid
- 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
- Analogue Black Holes in Reactive Molecules