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In this paper we show how to compute the shear relaxation time from an underlying microscopic theory. We prove that the shear relaxation time in Israel-Stewart-type theories is given by the inverse of the pole of the corresponding retarded…

High Energy Physics - Theory · Physics 2017-08-23 G. S. Denicol , H. Niemi , J. Noronha , D. H. Rischke

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

In this paper, we develop a stable and fast numerical scheme for relativistic dissipative hydrodynamics based on Israel-Stewart theory. Israel-Stewart theory is a stable and causal description of dissipation in relativistic hydrodynamics…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Makoto Takamoto , Shu-ichiro Inutsuka

We present an effective relaxation-time theory to study the collisionless quark-gluon plasma. Applying this method we calculate the damping rate to be of order $g^2T$ and find plasmon scattering is the damping mechanism. The damping for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Zheng Xiaoping , Li Jiarong , Liu Lianggang , Guo Shuohong

Non-equilibrium dynamics for relativistic fluid or quark gluon plasma (QGP) have already been calculated earlier upto third order using both kinetic and thermodynamic approaches. Calculations presented in this manuscript are based on…

Nuclear Theory · Physics 2020-09-09 Mohammed Younus , Azwinndini Muronga

In the current work the time evolution of baryon diffusion flow within the scope of second order relativistic hydrodynamic theory has been studied for a 2-component quark-gluon system. The relaxation time for diffusion flow is estimated…

Nuclear Theory · Physics 2018-11-19 Sukanya Mitra

We propose a relaxation time approximation for the description of the dynamics of strongly excited fermion systems. Our approach is based on time-dependent density functional theory at the level of the local density approximation. This…

Atomic and Molecular Clusters · Physics 2016-01-26 P. -G. Reinhard , E. Suraud

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal

We use symmetry arguments developed by Gubser to construct the first radially-expanding explicit solutions of the Israel-Stewart formulation of hydrodynamics. Along with a general semi-analytical solution, an exact analytical solution is…

We propose that rapidity dependent momentum correlations can be used to extract the shear relaxation time $\tau_\pi$ of the medium formed in high energy nuclear collisions. The stress-energy tensor in an equilibrium quark-gluon plasma is…

Nuclear Theory · Physics 2019-02-20 George Moschelli , Sean Gavin

A thermodynamic T-matrix approach for elastic 2-body interactions is employed to calculate spectral functions of open and hidden heavy-quark systems in the Quark-Gluon Plasma. This enables the evaluation of quarkonium bound-state properties…

High Energy Physics - Phenomenology · Physics 2014-11-21 F. Riek , R. Rapp

One of the fundamental properties of the quark-gluon plasma (QGP), the equation of state, is a subject of extensive studies in lattice QCD and an essential requirement for the correct hydrodynamic modeling of heavy-ion collisions. Lattice…

High Energy Physics - Lattice · Physics 2015-06-11 Alexei Bazavov

Israel-Stewart theory is a causal, stable formulation of relativistic dissipative fluid dynamics. This theory has been shown to give a decent description of the dynamical behavior of a relativistic fluid in cases where shear stress becomes…

Nuclear Theory · Physics 2012-07-31 G. S. Denicol , H. Niemi , I. Bouras , E. Molnar , Z. Xu , D. H. Rischke , C. Greiner

We compute the relaxation times for massive quarks and anti-quarks to align their spins with the angular velocity in a rigidly rotating medium at finite temperature and baryon density. The rotation effects are implemented using a fermion…

The definition of thermal relaxation time is extended to chemically non-equilibrated quark-gluon plasma and the chemical non-equilibrated thermal relaxation times for partons are calculated using the non-equilibrium Debye mass as the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Xiao-Fei Zhang , Wei-Qin Chao

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

We investigate the microscopic origin of the relaxation time coefficient in relativistic fluid dynamics. We show that the extraction of the shear viscosity relaxation time via the gradient expansion is ambiguous and in general fails to give…

Nuclear Theory · Physics 2015-05-30 G. S. Denicol , J. Noronha , H. Niemi , D. H. Rischke

Burgess and Marini have recently pointed out that the leading contribution to the damping rate of energetic gluons and quarks in the QCD plasma, given by $\gamma=c g^2\ln(1/g)T$, can be obtained by simple arguments obviating the need of a…

High Energy Physics - Phenomenology · Physics 2009-10-22 Anton Rebhan

We use a novel formulation of the relaxation time approximation to consistently calculate the bulk and shear viscosity coefficients using QCD-inspired energy-dependent relaxation times and phenomenological thermal masses obtained from fits…

Nuclear Theory · Physics 2023-07-06 Gabriel S. Rocha , Gabriel S. Denicol , Maurício N. Ferreira , Jorge Noronha

When two nuclei collide close to the speed of light, a fluid state known as the quark-gluon plasma is formed. Attempts to understand the dynamics of this fluid have generated significant research into dissipative relativistic fluid…

Nuclear Theory · Physics 2024-02-21 Nicki Mullins , Mauricio Hippert , Jorge Noronha , Lorenzo Gavassino
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