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Related papers: Dissipative fluids out of hydrostatic equilibrium

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In this paper, we have investigated the non-adiabatic spherical gravitational collapse in the framework of the $f(R,T)$ theory of gravity with a locally anisotropic fluid that undergoes dissipation in the form of heat flux, free-streaming…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Sarbari Guha , Uttaran Ghosh

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

Statistical Mechanics · Physics 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

We apply the causal Israel-Stewart theory of irreversible thermodynamics to model the matter content of the universe as a dissipative fluid with bulk and shear viscosity. Along with the full transport equations we consider their widely used…

General Relativity and Quantum Cosmology · Physics 2015-09-24 Dmitry Shogin , Per Amund Amundsen , Sigbjørn Hervik

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

High Energy Physics - Theory · Physics 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

Using a simple and well-motivated modification of the stress-energy tensor for a viscous fluid proposed by Lichnerowicz, we prove that Einstein's equations coupled to a relativistic version of the Navier-Stokes equations are well-posed in a…

Mathematical Physics · Physics 2014-07-25 Marcelo M. Disconzi

We study the (local) propagation of plane waves in a relativistic, non-dissipative, two-fluid system, allowing for a relative velocity in the "background" configuration. The main aim is to analyze relativistic two-stream instability. This…

General Relativity and Quantum Cosmology · Physics 2010-11-29 L. Samuelsson , C. S. Lopez-Monsalvo , N. Andersson , G. L. Comer

We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations…

High Energy Physics - Theory · Physics 2019-07-03 Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Mamoru Matsuo , Hidetoshi Taya

The plan of this study is to inspect the effects of dynamics of dissipative gravitational collapse in cylindrical symmetric non-static spacetime by using Misner-Sharp concept in context of metric $f(R)$ theory of gravity. For more generic…

General Physics · Physics 2018-10-30 G. Abbas , H. Nazar

The causality and stability of a relativistic hydrodynamic theory is shown to require a consensus between, either (i) newer degrees of freedom apart from the fundamental fluid fields, or (ii) a general hydrodynamic frame other than the…

Nuclear Theory · Physics 2025-08-25 Sukanya Mitra

We consider a model for an incompressible visoelastic fluid. It consists of the Navier-Stokes equations involving an elastic term in the stress tensor and a transport equation for the evolution of the deformation gradient. The novel feature…

Analysis of PDEs · Mathematics 2019-10-23 Martin Kalousek

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

Soft Condensed Matter · Physics 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

Relativistic non-ideal fluid dynamics is formulated in 3+1 space--time dimensions. The equations governing dissipative relativistic hydrodynamics are given in terms of the time and the 3-space quantities which correspond to those familiar…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

High Energy Physics - Theory · Physics 2015-06-05 Pavel Kovtun

We construct a relativistic model for bulk viscosity and heat conduction in a superfluid. Building on the principles of Unified Extended Irreversible Thermodynamics, the model is derived from Carter's multifluid approach for a theory with 3…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

A scalar model of wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a convective instability driven by a (negative) activity parameter. In this…

Soft Condensed Matter · Physics 2019-03-06 T. R. Kirkpatrick , J. K. Bhattacherjee

Just as non relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, thermal and turbulent fluctuations being the most relevant examples. Because of the theory's inherent…

High Energy Physics - Phenomenology · Physics 2022-12-21 Nahuel Mirón Granese , Alejandra Kandus , Esteban Calzetta

We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full…

High Energy Physics - Theory · Physics 2024-11-08 Raphael E. Hoult , Pavel Kovtun

Combining the second-order entropy flow vector of the causal Israel-Stewart theory with the conformal Killing-vector property of $u_{i}/T$, where $u_{i}$ is the four-velocity of the medium and T its equilibrium temperature, we investigate…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Winfried Zimdahl , J'er^ome Gariel , G'erard Le Denmat

Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with bulk viscosity. Our generalization consists in allowing for a…

Analysis of PDEs · Mathematics 2022-03-14 Heiner Olbermann

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu
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