Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs  

作　　者：Ze-Fang Jiang Duan She C.B.Yang Defu Hou 江泽方;佘端;杨纯斌;侯德富(Department of Physics and Electronic-Information Engineering,Hubei Engineering University,Xiaogan 432000,China;Institute of Particle Physics&Key Laboratory of Quark and Lepton Physics,MOE,Central China Normal University,Wuhan 430079,China;Physics Department and Center for Exploration of Energy and Matter,Indiana University,2401 N Milo B.Sampson Lane,Bloomington,IN 47408,USA)

机构地区：[1]Department of Physics and Electronic-Information Engineering,Hubei Engineering University,Xiaogan 432000,China [2]Institute of Particle Physics&Key Laboratory of Quark and Lepton Physics,MOE,Central China Normal University,Wuhan 430079,China [3]Physics Department and Center for Exploration of Energy and Matter,Indiana University,2401 N Milo B.Sampson Lane,Bloomington,IN 47408,USA

出　　处：《Chinese Physics C》2020年第8期164-171,共8页中国物理C（英文版）

基　　金：Supported by the Ministry of Science and Technology of China(MSTC)under the"973"Project No.2015CB856904(4),NSFC(11735007,11890711);the Sino-Hungarian bilateral Cooperation Program(Te'T 12CN-1-2012-0016);D.She is Supported by the China Scholarship Council(CSC)(201906770027)。

摘　　要：The solutions of the relativistic viscous hydrodynamics for longitudinally expanding fireballs are investig-ated 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 ef-fect and longitudinal acceleration effect in the longitudinal expanding framework are presented.The specific temper-ature 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 pres-ence 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.

关 键 词：heavy ion collision longitudinal expanding fireball viscous hydrodynamics Rindler coordinate 

分 类 号：O357[理学—流体力学]