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Navier-Stokes equations are known as hydrodynamic equations which take account of effects of dissipations. There are, however, problems in the relativistic Navier-Stokes equations, i.e. the equations violate causality. Israel-Stewart…

High Energy Physics - Lattice · Physics 2010-11-05 Yasuhiro Kohno , Masayuki Asakawa , Masakiyo Kitazawa , Chiho Nonaka

The lectures presented by one of us (IP) at the Les Houches summer school dealt with the scaling properties of high Reynolds number turbulence in fluid flows. The results presented are available in the literature and there is no real need…

chao-dyn · Physics 2016-08-31 Victor L'vov , Itamar Procaccia

We propose a new model which describes relativistic hydrodynamics and generalizes the standard Euler system of isentropic perfect fluids. Remarkably, our system admits a convex extension which allows us to transform it to a symmetric…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Robert Beig , Philippe G. LeFloch

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 present the derivation of second-order relativistic viscous hydrodynamics from an effective Boltzmann equation for a system consisting of quasiparticles of a single species. We consider temperature-dependent masses of the quasiparticles…

Nuclear Theory · Physics 2017-03-15 Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

We study the far-off-equilibrium dynamics of a Bjorken expanding non-conformal system within kinetic theory and hydrodynamics. We show that, in contrast to the conformal case, neither shear nor bulk viscous pressure relax quickly to a…

Nuclear Theory · Physics 2022-08-02 Sunil Jaiswal , Subrata Pal , Chandrodoy Chattopadhyay , Lipei Du , Ulrich Heinz

The contribution presents a brief summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions, in a boost-invariant setting (Bjorken flow). Considering the ideal case of a…

High Energy Physics - Phenomenology · Physics 2014-11-20 R. A. Janik , Robi Peschanski

We develop a version of fluctuating relativistic hydrodynamics in a way very different from the usual derivation: Instead of treating it as a coarse-grained deterministic theory expanded in gradients of equilibrium quantities, we treat it…

High Energy Physics - Theory · Physics 2025-07-28 G. M. Sampaio , G. Rabelo-Soares , G. Torrieri

The formulation of a universal theory for bulk viscosity and heat conduction represents a theoretical challenge for our understanding of relativistic fluid dynamics. Recently, it has been shown that the multifluid variational approach…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

The second order Israel-Stewart-M$\ddot{u}$ller relativistic hydrodynamics has been applied to study the effects of causality on the acoustic oscillation in relativistic fluid. Causal dispersion relations have been derived with…

Nuclear Theory · Physics 2018-05-23 Mahfuzur Rahaman , Jan-e Alam

Obtaining rigorous and general results about the non-equilibrium dynamics of extended many-body systems is a difficult task. In quantum lattice models with short-range interactions, the Lieb-Robinson bound tells us that the spatial extent…

Statistical Mechanics · Physics 2023-06-07 Dimitrios Ampelogiannis , Benjamin Doyon

We study, by using liquid-state theories and Monte Carlo simulation, the behavior of systems of classical particles interacting through a finite pair repulsion supplemented with a longer range attraction. Any such potential can be driven…

Soft Condensed Matter · Physics 2018-04-27 Gianpietro Malescio , Alberto Parola , Santi Prestipino

In a recent paper [Eur. Phys. J {\bf C 44}, 567 (2005)] we developed a very general formulation to take into account explicitly the effects of hydrodynamic flow profile on the gluonic breakup of $J/\psi$'s produced in an equilibrating…

Nuclear Theory · Physics 2009-01-07 B. K. Patra , V. J. Menon

We derive relativistic resistive magnetohydrodynamics for a two-component ultrarelativistic plasma directly from kinetic theory. Starting with the Boltzmann--Vlasov equation and using the 14-moment approximation in the Landau frame, we…

Plasma Physics · Physics 2026-02-25 Khwahish Kushwah , Caio V. P. de Brito , Gabriel S Denicol

We study the implications of translation invariance on the tangent dynamics of extended dynamical systems, within a random matrix approximation. In a model system, we show the existence of hydrodynamic modes in the slowly growing part of…

chao-dyn · Physics 2007-05-23 Jean-Pierre Eckmann , Omri Gat

In interacting theories, hydrodynamics describes the universal behavior of states close to local thermal equilibrium at late times and long distances in a gradient expansion. In the hydrodynamic regime of metals, momentum relaxes slowly…

High Energy Physics - Theory · Physics 2024-04-29 Blaise Goutéraux , Ashish Shukla

We explore the effects of shear viscosity on the hydrodynamic evolution and final hadron spectra of Cu+Cu collisions at ultrarelativistic collision energies, using the newly developed (2+1)-dimensional viscous hydrodynamic code VISH2+1.…

Nuclear Theory · Physics 2010-04-06 Huichao Song , Ulrich W Heinz

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

We present a formulation of special relativistic, dissipative hydrodynamics (SRDHD) derived from the well-established M\"uller- Israel-Stewart (MIS) formalism using an expansion in deviations from ideal behaviour. By re-summing the…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Marcus J. Hatton , Ian Hawke

Space-time evolution and subsequent particle production from minimally viscous ($\eta/s$=0.08) QGP fluid is studied using the 2nd order Israel-Stewart's theory of dissipative relativistic fluid. Compared to ideal fluid, energy density or…

High Energy Physics - Theory · Physics 2008-11-26 A. K. Chaudhuri