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Analytical and numerical Gubser solutions of the second-order hydrodynamics

Long-Gang Pang
(
- CCNU, Wuhan, Inst. Part. Phys. and
- Hua-Zhong Normal U., LQLP
)
,
Yoshitaka Hatta
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Xin-Nian Wang
(
- Hua-Zhong Normal U. and
- Hua-Zhong Normal U., LQLP and
- LBNL, NSD
)
,
Bo-Wen Xiao
(
- CCNU, Wuhan, Inst. Part. Phys. and
- Hua-Zhong Normal U., LQLP
)

Nov 28, 2014

6 pages

Published in:

Phys.Rev.D 91 (2015) 7, 074027

Published: Apr 27, 2015

e-Print:

1411.7767 [hep-ph]

DOI:

10.1103/PhysRevD.91.074027

Report number:

YITP-14-93

View in:

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Abstract: (APS)

Evolution of quark-gluon plasma near equilibrium can be described by the second-order relativistic viscous hydrodynamic equations. Consistent and analytically verifiable numerical solutions are critical for phenomenological studies of the collective behavior of quark-gluon plasma in high-energy heavy-ion collisions. A novel analytical solution based on the conformal Gubser flow that is a boost-invariant solution with transverse fluid velocity is presented. Because of the nonlinear nature of the equation, the analytical solution is nonperturbative and exhibits features that are rather distinct from solutions to usual linear hydrodynamic equations. It is used to verify with high precision the numerical solution with a newly developed state-of-the-art (3+1)-dimensional second-order viscous hydro code (CLVisc). The perfect agreement between the analytical and numerical solutions demonstrates the reliability of the numerical simulations with the second-order viscous corrections. This lays the foundation for future phenomenological studies that allow one to gain access to the second-order transport coefficients.

Note:

6 pages, 5 figures; v3 with more discussion. Published version

12.38.Mh
11.25.Hf
47.75.+f
quark gluon: plasma
heavy ion: scattering
hydrodynamics: viscosity
viscosity: correction
particle flow: collective phenomena
fluid: velocity
particle flow: velocity

References(38)

Figures(5)

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