Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs

被引:0
|
作者
江泽方 [1 ,2 ]
佘端 [2 ,3 ]
杨纯斌 [2 ]
侯德富 [2 ]
机构
[1] Department of Physics and Electronic-Information Engineering Hubei Engineering University
[2] Institute of Particle Physics & Key Laboratory of Quark and Lepton Physics MOE Central China Normal University
[3] Physics Department and Center for Exploration of Energy and Matter Indiana University
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中图分类号
O357 [粘性流体力学];
学科分类号
080103 ; 080704 ;
摘要
The solutions of the relativistic viscous hydrodynamics for longitudinally expanding fireballs are investigated with the Navier-Stokes theory and Israel-Stewart theory.The energy and the Euler conservation equations for the viscous fluid are derived in Rindler coordinates,by assuming that the longitudinal expansion effect is small.Under the perturbation assumption,an analytical perturbation solution for the Navier-Stokes approximation and numerical solutions for the Israel-Stewart approximation are presented.The temperature evolution with both shear viscous effect and longitudinal acceleration effect in the longitudinal expanding framework are presented.The specific temperature profile shows symmetric Gaussian shape in the Rindler coordinates.Further,we compare the results from the Israel-Stewart approximation with the results from the Bjorken and the Navier-Stokes approximations,in the presence of the longitudinal acceleration expansion effect.We found that the Israel-Stewart approximation gives a good description of the early stage evolutions than the Navier-Stokes theory.
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页码:168 / 175
页数:8
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