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We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad's 14-moment expansion. Working consistently to second order in the Knudsen number, these equations…

Nuclear Theory · Physics 2010-11-11 B. Betz , D. Henkel , D. H. Rischke

The thermal analogy between the effective fluid of scalar-tensor gravity and Eckart's irreversible thermodynamics is extended to the causal Israel-Stewart model, adopting the minimal ansatz of promoting the heat flux density to a timelike…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Narayan Banerjee , Andrea Giusti , Valerio Faraoni , Luca Gallerani , Alain Maltais-Gosselin

Consistent formulations of relativistic viscous hydrodynamics involve short lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Mueller-Israel-Stewart theory applied to a…

High Energy Physics - Theory · Physics 2015-08-31 Michal P. Heller , Michal Spalinski

We investigate the causality and the stability of the relativistic viscous magneto-hydrodynamics in the framework of the Israel-Stewart (IS) second-order theory, and also within a modified IS theory which incorporates the effect of magnetic…

Nuclear Theory · Physics 2020-11-02 Rajesh Biswas , Ashutosh Dash , Najmul Haque , Shi Pu , Victor Roy

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle, relativistic systems. It takes as input basic physics from microscopic scales and yields as output predictions of bulk, macroscopic motion.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. Andersson , G. L. Comer

We present the first generalization of Navier-Stokes theory to relativity that satisfies all of the following properties: (a) the system coupled to Einstein's equations is causal and strongly hyperbolic; (b) equilibrium states are stable;…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

The evolution of an homogeneous and isotropic dissipative fluid is analyzed using dynamical systems techniques. The dissipation is driven by bulk viscous pressure and the truncated Israel-Stewart theory is used. Although almost all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Di Prisco , L. Herrera , J. Ibanez

Based on the exact solution of Boltzmann kinetic equation in the relaxation-time approximation, the precision of the two most recent formulations of relativistic second-order non-conformal viscous hydrodynamics (14-moment approximation and…

Nuclear Theory · Physics 2015-06-11 Radoslaw Ryblewski

A phantom solution in the framework of the causal Israel-Stewart (IS) formalism is discussed. We assume a late time behavior of the cosmic evolution by considering only one dominant matter fluid with viscosity. In the model it is assumed a…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Norman Cruz , Samuel Lepe

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

We present a new class of exact fireball solutions of relativistic dissipative hydrodynamics. We describe new exact solutions both for the relativistic Navier-Stokes and for the Israel-Stewart theory, for arbitrary shear and bulk…

Nuclear Theory · Physics 2021-06-22 T. Csorgo , G. Kasza

We argue that different formulations of hydrodynamics are related to uncertainties in the definitions of local thermodynamic and hydrodynamic variables. We show that this ambiguity can be resolved by viewing different formulations of…

High Energy Physics - Theory · Physics 2022-06-01 Travis Dore , Lorenzo Gavassino , David Montenegro , Masoud Shokri , Giorgio Torrieri

We propose a new theory of second-order viscous relativistic hydrodynamics which does not impose any frame conditions on the choice of the hydrodynamic variables. It differs from Mueller-Israel-Stewart theory by including additional…

Nuclear Theory · Physics 2022-07-26 Jorge Noronha , Michał Spaliński , Enrico Speranza

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

Nuclear Theory · Physics 2014-08-06 Amaresh Jaiswal

We obtain an exact correspondence between the dynamical equations in Israel-Stewart (IS) theory and first-order causal and stable (FOCS) hydrodynamics for a boost-invariant system with an ideal gas equation of state at finite baryon…

Nuclear Theory · Physics 2021-01-20 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

A detailed study is carried out for the relativistic theory of viscoelasticity which was recently constructed on the basis of Onsager's linear nonequilibrium thermodynamics. After rederiving the theory using a local argument with the…

Statistical Mechanics · Physics 2015-03-19 Masafumi Fukuma , Yuho Sakatani

In this article we report a novel analytic solution for a cosmological model with a matter content described by a one component dissipative fluid, in the framework of the causal Israel-Stewart theory. Some physically well motivated…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Norman Cruz , Esteban González , Guillermo Palma

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

I consider a simple set of equations that govern the expansion of boost-invariant plasmas of massless particles. These equations describe the transition from a collisionless regime at early time to hydrodynamics at late time. Their…

Nuclear Theory · Physics 2023-09-26 Jean-Paul Blaizot

Fully non-linear equations of motion for dissipative general relativistic multi-fluids can be obtained from an action principle involving the explicit use of lower dimensional matter spaces. More traditional strategies for incorporating…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Thomas Celora , Nils Andersson , Greg L. Comer