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Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

In the present work we introduce a novel approach to study $f({\sf R},{\sf T})$ gravity theory from a different perspective. Here, ${\sf T}$ denotes the trace of energy-momentum tensor ({\sf EMT}) of matter fluids. The usual method (as…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Hamid Shabani , Amir Hadi Ziaie

We review the fluid/gravity correspondence which relates the dynamics of Einstein's equations (with negative cosmological constant) to the dynamics of relativistic Navier-Stokes equations.

High Energy Physics - Theory · Physics 2011-07-29 Veronika E. Hubeny , Shiraz Minwalla , Mukund Rangamani

We consider two hydrodynamic model problems (one incompressible and one compressible) with three dimensional fluid flow on the torus and temperature-dependent viscosity and conductivity. The ambient heat for the fluid is transported by the…

Analysis of PDEs · Mathematics 2017-02-28 Andrei Tarfulea

We present a systematic definition and analysis of the thermo-electric linear response in gauge/gravity systems focusing especially on models with massive gravity in the bulk and therefore momentum dissipation in the dual field theory. A…

High Energy Physics - Theory · Physics 2014-10-08 Andrea Amoretti , Alessandro Braggio , Nicola Maggiore , Nicodemo Magnoli , Daniele Musso

This paper is devoted to investigate the dynamics of the self gravitating adiabatic and anisotropic source in $5D$ Einstein Gauss-Bonnet gravity. To this end, the source has been taken as Tolman-Bondi model which preserve inhomogeneity in…

General Physics · Physics 2015-04-30 G. Abbas , M. Zubair

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the…

High Energy Physics - Theory · Physics 2022-10-04 Zheng Cao , Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Hidetoshi Taya

We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom,…

Nuclear Theory · Physics 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

Statistical Mechanics · Physics 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

We determine the structure of the hydrodynamics with conserved current, using the gauge/gravity duality of charged black-hole background. It turns out that even in the presence of the external electromagnetic field at the boundary, bulk…

High Energy Physics - Theory · Physics 2009-11-13 Jin Hur , Kyung Kiu Kim , Sang-Jin Sin

We discuss and expand a new approach to the thermodynamics of scalar-tensor gravity and its diffusion toward general relativity (seen as an equilibrium state) proposed in a previous Letter [Phys. Rev. D 103, L121501 (2021)], upon which we…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Valerio Faraoni , Andrea Giusti , Andrea Mentrelli

We investigate the out-of-equilibrium dynamics of viscous fluids in a spatially flat Friedmann-Lema\^itre-Robertson-Walker cosmology using the most general causal and stable viscous energy-momentum tensor defined at first order in spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha , Robert J. Scherrer

This review is devoted to the large-scale rheology of suspensions of rigid particles in Stokes fluid. After describing recent results on the definition of the effective viscosity of such systems in the framework of homogenization theory, we…

Analysis of PDEs · Mathematics 2023-01-03 Mitia Duerinckx , Antoine Gloria

A double-layer integral equation for the surface tractions on a body moving in a viscous fluid is derived which allows for the incorporation of a background flow and/or the presence of a plane wall. The Lorentz reciprocal theorem is used to…

Fluid Dynamics · Physics 2017-02-01 William H. Mitchell , Saverio E. Spagnolie

The Einstein-Hilbert action (and thus the dynamics of gravity) can be obtained by combining the principle of equivalence, special relativity and quantum theory in the Rindler frame and postulating that the horizon area must be proportional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Padmanabhan

We study the initial value problem for a system of equations describing the motion of two-dimensional non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. We consider the complete odd viscous stress…

Analysis of PDEs · Mathematics 2026-05-19 Matthieu Pageard

We study a hydrodynamic limit of a system of coupled kinetic and fluid equations under a strong local alignment force and a strong Brownian motion. More precisely, we consider the Vlasov-Fokker-Planck type equation and compressible…

Analysis of PDEs · Mathematics 2019-01-07 Young-Pil Choi , Jinwook Jung

We reconsider, from a novel perspective, how unitarity constrains the corrections to the ratio of shear viscosity \eta\ to entropy density s. We start with higher-derivative extensions of Einstein gravity in asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2015-05-30 Ram Brustein , A. J. M. Medved

We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

Plasma Physics · Physics 2025-01-29 Etele Molnár , Dirk H. Rischke

We consider Kasner space-time describing anisotropic three dimensional expansion of RHIC and LHC fireball and study the generalization of Bjorken's one dimensional expansion by taking into account second order relativistic viscous…

High Energy Physics - Theory · Physics 2021-03-19 Priyanka Priyadarshini Pruseth , Swapna Mahapatra