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Related papers: Aspects of causal viscous hydrodynamics

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We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavy-ion collisions with longitudinal boost invariance. We find that even ``minimal'' shear…

Nuclear Theory · Physics 2008-11-26 Ulrich W Heinz , Huichao Song

We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation,…

Nuclear Theory · Physics 2024-03-06 Shin-ei Fujii , Tetsufumi Hirano

Explicit equations are given for describing the space-time evolution of non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal and arbitrary transverse expansion. The equations are derived from the second-order…

Nuclear Theory · Physics 2008-11-26 Ulrich W. Heinz , Huichao Song , Asis K. Chaudhuri

The stability of the 1+1 dimensional solution of Israel-Stewart theory is investigated. Firstly, the evolution of the temperature and the ratio of the bulk pressure over the equilibrium pressure of the background is explored. Then the…

Nuclear Theory · Physics 2014-04-29 J. W. Li , Y. G. Ma , G. L. Ma

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

We develop a framework of causal hydrodynamic fluctuations in one-dimensional expanding system performing linearisation of the hydrodynamic equations around the boost invariant solution. Through the description of space-time evolution of…

Nuclear Theory · Physics 2023-11-09 Shin-ei Fujii , Tetsufumi Hirano

Viscous corrections to relativistic hydrodynamics, which are usually formulated for small velocity g radients, have recently been extended from Navier-Stokes formulations to a class of treatments based on Israel-Stewart equations.…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

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

Using numerical results from ideal and viscous relativistic hydrodynamic simulations with three different equations of state, for Au+Au and Cu+Cu collisions at different centralities and initial energy densities, we explore the dependence…

Nuclear Theory · Physics 2008-11-26 Huichao Song , Ulrich W. Heinz

Effect of shear viscosity on elliptic flow is studied in causal dissipative hydrodynamics in 2+1 dimensions. Elliptic flow is reduced in viscous dynamics. Causal evolution of minimally viscous fluid ($\eta/s$=0.08), can explain the PHENIX…

Nuclear Theory · Physics 2007-10-08 A. K. Chaudhuri

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

The approach of extended irreversible thermodynamics consists of promoting the dissipative fluxes to non-equilibrium thermodynamic variables. In a relativistic context, this naturally leads to the formulation of the theory of Israel and…

General Relativity and Quantum Cosmology · Physics 2021-04-23 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We compute the time evolution of elliptic flow in non-central relativistic heavy-ion collisions, using a (2+1)-dimensional code with longitudinal boost-invariance to simulate viscous fluid dynamics in the causal Israel-Stewart formulation.…

Nuclear Theory · Physics 2008-11-26 Huichao Song , Ulrich W. Heinz

We have studied the space-time evolution of minimally viscous ($\frac{\eta}{s}$=0.08) QGP fluid, undergoing boost-invariant longitudinal motion and arbitrary transverse expansion. Relaxation equations for the shear stress tensor components,…

Nuclear Theory · Physics 2008-06-18 A. K. Chaudhuri

We study the effects of hydrodynamic fluctuations in non-boost-invariant longitudinal expansion of matter formed in relativistic heavy ion collisions. We formulate the theory of thermal noise within second-order viscous hydrodynamics…

Nuclear Theory · Physics 2018-09-26 Chandrodoy Chattopadhyay , Subrata Pal

We present a class of relativistic fluid models for cold and dense matter with bulk viscosity, whose equilibrium equation of state is polytropic. These models reduce to Israel-Stewart theory for small values of the viscous stress $\Pi$.…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Lorenzo Gavassino

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

We derive an extended expression for the relaxation time of a barotropic Israel-Stewart (IS) fluid using the non-linear causality constraint, and propose a new formulation for modeling causal viscous dissipation in barotropic fluids. With…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Vishnu A Pai , Titus K Mathew

Isotropic and spatially homogeneous viscous fluid cosmological models are investigated using the truncated Israel-Stewart theory of irreversible thermodynamics to model the bulk viscous pressure. The governing system of differential…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A A Coley , R J van den Hoogen

In 2nd order causal dissipative theory, space-time evolution of QGP fluid is studied in 2+1 dimensions. Relaxation equations for shear stress tensors are solved simultaneously with the energy-momentum conservation equations. Comparison of…

Nuclear Theory · Physics 2007-08-01 A. K. Chaudhuri
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