The circular jump as a hydrodynamic white hole
Abstract
Surface waves in classical fluids experience a rich array of black/white hole horizon effects. The dispersion relation depends on the characteristics of the fluid as well as on the fluid depth and the wavelength regime. We focus on the shallow-water regime, and discuss the experimental proof that the circular hydraulic jump marks the transition between a supercritical and a subcritical flow regime. This finally confirms a theoretical conjecture formulated by Lord Rayleigh nearly 100 years ago. It also confirms that the circular jump corresponds to the spontaneous formation of a hydrodynamic white hole, with interesting characteristics from the point of view of analogue gravity. We study the dispersive regime, mention some lessons about the trans-Planckian issue and describe possible directions for future work.
Keywords
Cite
@article{arxiv.1203.6505,
title = {The circular jump as a hydrodynamic white hole},
author = {Gil Jannes and Germain Rousseaux},
journal= {arXiv preprint arXiv:1203.6505},
year = {2015}
}
Comments
16 pages, 7 figures. To appear in: "Analogue Models of Gravity 30 Years Celebration" (Proceedings of the II Amazonian Symposium on Physics)