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Accelerating/decelerating trans-critical flows (waterfalls/cataracts) are analogous to space-times of black holes/white fountains since the pioneering work of Sch{\"u}tzhold \& Unruh in 2002. A single number is usually employed to…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Alexis Bossard , Nicolas James , Valentin Jules , Johan Fourdrinoy , Scott Robertson , Germain Rousseaux

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…

General Relativity and Quantum Cosmology · Physics 2015-01-20 Gil Jannes , Germain Rousseaux

We report measurements in a 2-dimensional, gravity-driven, collisional, granular flow of the normal force delivered to the wall and of particle velocity at several points in the flow. The wall force and the flow velocity are negatively…

Soft Condensed Matter · Physics 2007-05-23 Emily Gardel , Ellen Keene , Sonia Dragulin , Nalini Easwar , Narayanan Menon

We numerically study the scattering coefficients of linear water waves on stationary flows above a localized obstacle. We compare the scattering on trans- and subcritical flows, and then focus on the latter which have been used in recent…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Scott Robertson , Florent Michel , Renaud Parentani

Periodic spatial variations of some parameter arise in analogue gravity experiments aimed at detecting the analogue version of the Hawking effect in a white hole flow. Having the same spatial periodicity as low-frequency dispersive modes,…

General Relativity and Quantum Cosmology · Physics 2018-04-23 Florent Michel , Renaud Parentani , Scott Robertson

Hydraulic jumps occur commonly in natural channels and energy dissipation systems of hydraulic structures in the violent transition from supercritical to subcritical flows. They are characterised by large flow aeration, high turbulence and…

Fluid Dynamics · Physics 2020-12-22 Rui Li , Kristen D. Splinter , Stefan Felder

We study abstract weakly relevant flows in a general number of dimensions. They arguably provide the simplest example of renormalization group (RG) flows between two non-trivial fixed points. We compute several two-point correlation…

High Energy Physics - Theory · Physics 2024-10-22 Denis Karateev , Biswajit Sahoo

A wave equation for a time-dependent perturbation about the steady shallow-water solution emulates the metric an acoustic white hole, even upon the incorporation of nonlinearity in the lowest order. A standing wave in the sub-critical…

Other Condensed Matter · Physics 2009-11-10 Arnab K. Ray , J. K. Bhattacharjee

Using holographic duality, we reveal a transition in vortex dipole dynamics below a critical dipole size in strongly interacting superfluids, characterized by a significant suppression of mutual friction. In the bulk, this transition is…

High Energy Physics - Theory · Physics 2026-05-21 Yu-Kun Yan , Shanquan Lan , Yu Tian , Hongbao Zhang

We prove that for evolution problems with normally hyperbolic trapping in phase space, correlations decay exponentially in time. Normal hyperbolic trapping means that the trapped set is smooth and symplectic and that the flow is hyperbolic…

Mathematical Physics · Physics 2014-09-16 Stephane Nonnenmacher , Maciej Zworski

Motivated by the ideas of analogue gravity, we have performed experiments in a flume where an analogue White Hole horizon is generated, in the form of a wave blocking region, by suitably tuned uniform fluid (water) flow and…

Fluid Dynamics · Physics 2015-05-29 Debasmita Chatterjee , Praloy Das , Subir Ghosh , B. S. Mazumder

We impose a linearized Eulerian perturbation on a steady, shallow, radial outflow of a liquid (water), whose local pressure function includes both the hydrostatic and the Laplace pressure terms. The resulting wave equation bears the form of…

Fluid Dynamics · Physics 2022-11-08 Jayanta K. Bhattacharjee , Arnab K. Ray

Interesting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the…

Fluid Dynamics · Physics 2021-05-19 Amilcare Porporato , Luca Ridolfi , Lamberto Rondoni

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…

Fluid Dynamics · Physics 2011-05-19 G. Jannes , R. Piquet , P. Maissa , C. Mathis , G. Rousseaux

Many turbulent flows encountered in nature -- seas, oceans and rivers -- are bounded by a deformable free surface. A question that remained to be fully explored is to what extent the underlying turbulent flow field can be revealed solely by…

Fluid Dynamics · Physics 2026-05-27 Amélie Ferran , Ali Semati , Anaïs Rouaud , R. Jason Hearst , Simen Å Ellingsen

The (degenerate) geometry of event horizons is linked to Carrollian fluids. We investigate the behavior of event horizons via a perturbative coupling to a massless scalar field, making connections to Carrollian hydrodynamics with a driving…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Sercan Hüsnügil , Luis Lehner

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 (in our case, water and silicon oil) as well as on the fluid depth and the…

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at…

High Energy Physics - Theory · Physics 2017-03-08 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

Jammed granular media and glasses exhibit spatial long-range correlations as a result of mechanical equilibrium. However, the existence of such correlations in the flowing matter, where the mechanical equilibrium is unattainable, has…

Soft Condensed Matter · Physics 2023-08-01 Hor Dashti , Abbas Ali Saberi , S. H. E. Rahbari , Jürgen Kurths

In a shallow-water radial outflow the horizon of a hydrodynamic white hole coincides with a standing circular hydraulic jump. The jump, caused by viscosity, makes the horizon visible as a circular front, standing as a barrier against the…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Nisha Jangid , Arnab K. Ray
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