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We re-derive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast to the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain equations of…

Nuclear Theory · Physics 2010-10-27 G. S. Denicol , T. Koide , D. H. Rischke

An iterative scheme is presented to solve analytically the relativistic fluid dynamics equations. The scheme is applied to longitudinal expansion, transversal symmetric and transversal asymmetric (triaxial) expansion as well. Within this…

High Energy Physics - Theory · Physics 2012-12-06 F. Wunderlich , B. Kämpfer

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary…

Astrophysics · Physics 2017-05-17 Jose A. Pons , Jose Ma. Marti , Ewald Mueller

We briefly review the foundations of a new relativistic fluid dynamics framework for polarized systems of particles with spin one half. Using this approach we numerically study the dynamics of the spin polarization of a rotating medium…

We derive the special and general relativistic hydrodynamic equations of motion for ideal fluids from a variational principle. Our approach allows to find approximate solutions, whenever physically motivated trial functions can be used.…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -Th. Elze , T. Kodama , Y. Hama , M. Makler , J. Rafelski

We present a general and practical procedure to solve the general relativistic hydrodynamic equations by using any of the special relativistic Riemann solvers recently developed for describing the evolution of special relativistic flows.…

Astrophysics · Physics 2007-05-23 Jose A. Pons , Jose A. Font , Jose M. Ibanez , Jose M. Marti , Juan A. Miralles

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary…

Astrophysics · Physics 2007-05-23 J. Pons , J. Ma. Marti , E. Muller

When speaking of unsolved problems in physics, this is surprising at first glance to discuss the case of fluid mechanics. However, there are many deep open questions that come with the theory of fluid mechanics. In this paper, we discuss…

High Energy Physics - Phenomenology · Physics 2014-12-17 Mateusz Dyndal , Laurent Schoeffel

We explore a new action formulation of hyperfluids, fluids with intrinsic hypermomentum. Brown's Lagrangian for a relativistic perfect fluid is generalised by incorporating the degrees of freedom encoded in the hypermomentum tensor, namely…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Damianos Iosifidis , Tomi S. Koivisto

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

In Newtonian and relativistic hydrodynamics the Riemann problem consists of calculating the evolution of a fluid which is initially characterized by two states having different values of uniform rest-mass density, pressure and velocity.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Rezzolla , O. Zanotti

A new family of simple analytic solutions of hydrodynamics is found for non-relativistic, rotationally symmetric fireballs assuming an ideal gas equation of state. The solution features linear flow profile and a non-trivial transverse…

Nuclear Theory · Physics 2015-06-26 T. Csorgo

We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal…

Statistical Mechanics · Physics 2022-02-01 Andrew Osborne , Andrew Lucas

Perfect fluid spheres, both Newtonian and relativistic, have attracted considerable attention as the first step in developing realistic stellar models (or models for fluid planets). Whereas there have been some early hints on how one might…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Damien Martin , Matt Visser

The strongly interacting Quark-Gluon-Plasma (sQGP) created in relativistic nucleus-nucleus collisions, can be described by hydrodynamic models. Low energy hadrons are created after the so called freeze-out of this medium, thus their…

Nuclear Theory · Physics 2015-03-20 M. Csanad

By means of a highly accurate, multi-domain, pseudo-spectral method, we investigate the solution space of uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies. It turns out that this space can be divided up into…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , T. Fischer , A. Kleinwächter , R. Meinel , D. Petroff , K. Schöbel

We study solutions of the Friedmann equations in case of the homogeneous isotropic Universe filled with a perfect fluid. The main points concern the monotony properties of the solutions, the possibility to extend the solutions on all times…

General Relativity and Quantum Cosmology · Physics 2017-07-13 V. I. Zhdanov , S. S. Dylda

We utilize known exact analytic solutions of perfect fluid hydrodynamics to analytically calculate the polarization of baryons produced in heavy ion collisions. Assuming local thermodynamical equilibrium also for spin degrees of freedom,…

High Energy Physics - Phenomenology · Physics 2020-05-22 Balint Boldizsar , Marton I. Nagy , Mate Csanad

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a non-trivially rotating strongly coupled N=4 Super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and…

High Energy Physics - Theory · Physics 2021-12-22 Casey Cartwright , Markus Garbiso Amano , Matthias Kaminski , Jorge Noronha , Enrico Speranza

Relativistic hydrodynamics for ideal and viscous fluids is discussed as a tool to describe relativistic heavy-ion collisions and to extract transport properties of the quark-gluon plasma from experimentally measured hadron momentum spectra.

Nuclear Theory · Physics 2015-05-13 Ulrich W. Heinz