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Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

Theoretical and experimental studies have revealed that electrons in condensed matter can behave hydrodynamically, exhibiting fluid phenomena such as Stokes flow and vortices. Unlike classical fluids, preferred directions inside crystals…

Materials Science · Physics 2020-02-24 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Claudia Felser , Prineha Narang

We examine the interplay between recent advances in quantum gravity and the problem of turbulence. In particular, we argue that in the gravitational context the phenomenon of turbulence is intimately related to the properties of spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Vishnu Jejjala , Djordje Minic , Y. Jack Ng , Chia-Hsiung Tze

Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a Lorentz or Carroll frame, in asymptotically AdS…

High Energy Physics - Theory · Physics 2022-12-21 Andrea Campoleoni , Luca Ciambelli , Arnaud Delfante , Charles Marteau , P. Marios Petropoulos , Romain Ruzziconi

Let $\Sigma$ be a compact manifold without boundary whose first homology is nontrivial. Hodge decomposition of the incompressible Euler's equation in terms of 1-forms yields a coupled PDE-ODE system. The $L^2$-orthogonal components are a…

Mathematical Physics · Physics 2023-09-25 Clodoaldo Grotta-Ragazzo , Björn Gustafsson , Jair Koiller

In an $n$-dimensional Friedmann-Robertson-Walker metric, it is rigorously shown that any analytical theory of gravity $f(R,{\cal G})$, where $R$ is the curvature scalar and $\cal G$ is the Gauss-Bonnet topological invariant, can be…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Salvatore Capozziello , Carlo Alberto Mantica , Luca Guido Molinari

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors…

General Relativity and Quantum Cosmology · Physics 2020-06-17 N. Andersson , S. Wells , G. L. Comer

We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of {F}orchheimer-type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a…

Analysis of PDEs · Mathematics 2026-05-27 Emine Celik , Luan Hoang , Thinh Kieu

We briefly review the basic features of a new framework for relativistic perfect fluid hydrodynamics of polarized systems consisting of particles with spin one half. Using this approach we numerically study the stability of a stationary…

We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

We generalize to three dimensions (3D) a recently developed improved multi-component pseudopotential lattice Boltzmann method and analyze its applicability to simulate flows through realistic porous media. The model is validated and…

Fluid Dynamics · Physics 2022-10-04 M. Sedahmed , R. C. V. Coelho , N. A. M. Araújo , E. M. Wahba , H. A. Warda

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning…

Soft Condensed Matter · Physics 2022-07-22 Debarghya Banerjee , Anton Souslov , Vincenzo Vitelli

The Hall viscosity, a non-dissipative transport coefficient analogous to Hall conductivity, is considered for quantum fluids in gapped or topological phases. The relation to mean orbital spin per particle discovered in previous work by one…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 N. Read , E. H. Rezayi

Based on the mechanics of the Euler equation at short time, we show that a Recent Fluid Deformation (RFD) closure for the vorticity field, neglecting the early stage of advection of fluid particles, allows to build a 3D incompressible…

Fluid Dynamics · Physics 2010-03-30 Laurent Chevillard , Raoul Robert , Vincent Vargas

In the present study, quantitative feasibility tests of the hydrodynamic description of a two-dimensional fluid at the molecular level are performed, both with respect to length and time scales. Using high-resolution fluid velocity data…

Fluid Dynamics · Physics 2018-01-17 Kyeong Hwan Han , Changho Kim , Peter Talkner , George Em Karniadakis , Eok Kyun Lee

Motivated by the gravity/fluid correspondence, we introduce a new method for characterizing nonlinear gravitational interactions. Namely we map the nonlinear perturbative form of the Einstein equation to the equations of motion of a…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Huan Yang , Fan Zhang , Stephen R. Green , Luis Lehner

Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids. We describe…

High Energy Physics - Theory · Physics 2024-11-07 Nikolaos Athanasiou , P. Marios Petropoulos , Simon Schulz , Grigalius Taujanskas

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and complementary paths. The first is based on local…

High Energy Physics - Theory · Physics 2022-09-22 Anastasios C. Petkou , P. Marios Petropoulos , David Rivera Betancour , Konstantinos Siampos

This paper examines the holographic computation of bulk and shear viscosity ratios in strongly coupled thermal plasmas using the AdS/BCFT correspondence within Horndeski gravity. We demonstrate that this framework leads to non-zero…

High Energy Physics - Theory · Physics 2024-09-19 Fabiano F. Santos