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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

Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of freedom. In the same year, numerical…

Nuclear Theory · Physics 2019-05-21 Paul Romatschke , Ulrike Romatschke

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

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

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle systems moving at high velocities and/or in strong gravity. It takes as input physics from microscopic scales and yields as output…

General Relativity and Quantum Cosmology · Physics 2021-07-07 N. Andersson , G. L. C. Comer

The dynamics of the fluid fields in a large class of causal dissipative fluid theories is studied. It is shown that the physical fluid states in these theories must relax (on a time scale that is characteristic of the microscopic particle…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Lee Lindblom

The theory of real relativistic fluids is in the rather unique situation that there is a natural relativistic extension of the nonrelativistic theory, but it is physically untenable. On the other hand, mounting evidence that matter created…

High Energy Physics - Phenomenology · Physics 2013-10-04 Esteban Calzetta

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

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

The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

High Energy Physics - Theory · Physics 2025-09-30 Raphael E. Hoult

I give an introduction to the basic concepts of fluid dynamics as applied to the dynamical description of relativistic nuclear collisions.

Nuclear Theory · Physics 2009-10-31 D. H. Rischke

Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal…

Nuclear Theory · Physics 2008-11-26 P. Ván , T. S. Biró

The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients eta, zeta, kappa, mu,…

Mathematical Physics · Physics 2023-01-16 Heinrich Freistuhler

Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises…

Nuclear Theory · Physics 2013-04-12 Koichi Murase , Tetsufumi Hirano

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

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 review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent…

Analysis of PDEs · Mathematics 2024-10-29 Marcelo M. Disconzi

Non-ideal fluid dynamics with cylindrical symmetry in transverse direction and longitudinal scaling flow is employed to simulate the space-time evolution of the quark-gluon plasma produced in heavy-ion collisions at RHIC energies. The…

Nuclear Theory · Physics 2007-05-23 Azwinndini Muronga , Dirk H. Rischke

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

Statistical Mechanics · Physics 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

In this paper we emphasize some conceptual points related to the kinetic foundations of relativistic hydrodynamics. We summarize previous work and focus on the construction of the heat flux from a kinetic theory point of view. A thorough…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. L. Garcia-Perciante , A. Sandoval-Villalbazo
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