Shear viscosities from the Chapman-Enskog and the relaxation time approaches

被引：63

作者：

Wiranata, Anton ^{[1
,2
]}

Prakash, Madappa ^{[3
]}

机构：

[1] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China

[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Nucl Sci, Berkeley, CA 94720 USA

[3] Ohio Univ, Dept Phys & Astron, Athens, OH 45701 USA

来源：

PHYSICAL REVIEW C | 2012年 / 85卷 / 05期

关键词：

KINETIC GAS THEORY; NUCLEUS-NUCLEUS COLLISIONS; QUARK-GLUON PLASMA; TRANSPORT-COEFFICIENTS; ELLIPTIC FLOW; SPS;

D O I：

10.1103/PhysRevC.85.054908

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The interpretation of the measured elliptic and higher order collective flows in heavy-ion collisions in terms of viscous hydrodynamics depends sensitively on the ratio of shear viscosity to entropy density. Here we perform a quantitative comparison between the results of shear viscosities from the Chapman-Enskog and relaxation time methods for selected test cases with specified elastic differential cross sections: (i) the nonrelativistic, relativistic and ultrarelativistic hard sphere gas with angle and energy independent differential cross section, (ii) the Maxwell gas, (iii) chiral pions, and (iv) massive pions for which the differential elastic cross section is taken from experiments. Our quantitative results (i) reveal that the extent of agreement (or disagreement) depends sensitively on the energy dependence of the differential cross sections employed, and (ii) stress the need to perform quantum molecular dynamical (URQMD) simulations that employ Green-Kubo techniques with similar cross sections to validate the codes employed and to test the accuracy of other methods.

引用

页数：14

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