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Related papers: Holographic Fluids with Vorticity and Analogue Gra…

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Vortices, turbulence, and unsteady non-laminar flows are likely both prominent and dynamically important features of astrophysical disks. Such strongly nonlinear phenomena are often difficult, however, to simulate accurately, and are…

Earth and Planetary Astrophysics · Physics 2017-10-18 Darryl Seligman , Gregory Laughlin

We describe the coadjoint orbits of the group of volume preserving diffeomorphisms of $\mathbb{R}^3$ associated to the motion of closed vortex sheets in ideal 3D fluids. We show that these coadjoint orbits can be identified with nonlinear…

Symplectic Geometry · Mathematics 2020-06-11 François Gay-Balmaz , Cornelia Vizman

We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics…

High Energy Physics - Theory · Physics 2014-12-24 Chi Xiong , Michael R. R. Good , Yulong Guo , Xiaopei Liu , Kerson Huang

The observation of fluid-like behavior in nucleus-nucleus, proton-nucleus and high-multiplicity proton-proton collisions motivates systematic studies of how different measurements approach their fluid-dynamic limit. We have developed…

High Energy Physics - Phenomenology · Physics 2020-11-11 Aleksi Kurkela , Seyed Farid Taghavi , Urs Achim Wiedemann , Bin Wu

This paper develops a geometric mechanics framework for the reduction of general relativistic hydrodynamic variational principles, from the variation of worldlines approach in 4D spacetime to 3-dimensional Eulerian descriptions. We consider…

Mathematical Physics · Physics 2026-01-27 Allan Louie

This paper is the fifth in a series exploring the physical consequences of the solidity of glass-forming liquids. Paper IV proposed a model where the density field is described by a time-dependent Ginzburg-Landau equation of the…

Soft Condensed Matter · Physics 2009-11-13 Jeppe C. Dyre

We study the formation and the dynamics of vortex lines in rotating scalar dark matter halos, focusing on models with quartic repulsive self-interactions. In the nonrelativistic regime, vortex lines and their lattices arise from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Ph. Brax , P. Valageas

The fluid-gravity correspondence documents a precise mathematical map between a class of dynamical spacetime solutions of the Einstein field equations of gravity and the dynamics of its corresponding dual fluid flows governed by the…

High Energy Physics - Theory · Physics 2020-09-07 Sumit Dey , Shounak De , Bibhas Ranjan Majhi

Quantum mechanics, superfluids, and capillary fluids are closely related: it is thermodynamics that links them. In this paper, the Liu procedure is used to analyze the thermodynamic requirements. A comparison with the traditional method of…

Fluid Dynamics · Physics 2023-05-08 Peter Ván

Relativistic Riemannian superfluid hydrodynamics used in general relativity to investigate superfluids in pulsars is extended to non-Riemannian background spacetime endowed with Cartan torsion. From the Gross-Pitaeviskii (GP) it is shown…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

Investigating vorticity dynamics provides an effective way for understanding the fundamental mechanisms of fluid flows across diverse scales. However, experimental vorticity measurements often suffer from limited spatial and temporal…

Fluid Dynamics · Physics 2023-10-31 Jiaqi Li , Jiarong Hong

We summarize the general formalism describing surface flows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non-radial perturbations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , B. G. Schmidt

We develop three asymptotic models of surface waves in a non-newtonian fluid with odd viscosity. This viscosity is also known as Hall viscosity and appears in a number of applications such as quantum Hall fluids or chiral active fluids.…

Analysis of PDEs · Mathematics 2022-04-13 Rafael Granero-Belinchón , Alejandro Ortega

We provide the set of equations for non-relativistic fluid dynamics on arbitrary, possibly time-dependent spaces, in general coordinates. These equations are fully covariant under either local Galilean or local Carrollian transformations,…

High Energy Physics - Theory · Physics 2018-07-18 Luca Ciambelli , Charles Marteau , Anastasios C. Petkou , P. Marios Petropoulos , Konstantinos Siampos

We study an analog hydrodynamic model that mimics a 3+1 AdS planar BH spacetime dual to a 2+1-dimensional superconductor. We demonstrate that the AdS$_4$ bulk and its holographic dual could be realized in nature in an analog gravity model…

High Energy Physics - Theory · Physics 2021-07-27 Neven Bilić , Julio C. Fabris

We investigate the bounce cosmology induced by inhomogeneous viscous fluids in FRW space-time (non necessarly flat), taking into account the early-time acceleration after the bounce. Different forms for the scale factor and several examples…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Ratbay Myrzakulov , Lorenzo Sebastiani

We develop a neutral vortex fluid theory on closed surfaces with zero genus. The theory describes collective dynamics of many well-separated quantum vortices in a superfluid confined on a closed surface. Comparing to the case on a plane,…

Quantum Gases · Physics 2024-02-09 Yanqi Xiong , Xiaoquan Yu

The nonlinear coupling between spacetime geometry and matter in the early Universe remains a frontier in theoretical cosmology. By introducing a novel gravitomagnetic-hydrodynamic framework, we reveal a fundamental analogy between…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jiaxiang Liang , Peng Xu , Minghui Du , Yifu Cheng , Zhan Wang , Ziren Luo , Manjia Liang

We have extended our previous work [1] on rotating holographic superfluids to include Lifshitz scaling. Presence of this scaling breaks relativistic invariance of the boundary superfluid system and indicates the existence of a Lifshitz…

High Energy Physics - Theory · Physics 2023-04-14 Ankur Srivastav , Sunandan Gangopadhyay

The contribution presents a summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions. Considering the ideal case of a supersymmetric Yang-Mills theory for which the…

High Energy Physics - Theory · Physics 2009-06-24 Michal P. Heller , Romuald A. Janik , R. Peschanski
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