Testing viscous and anisotropic hydrodynamics in an exactly solvable case

被引：182

作者：

Florkowski, Wojciech ^{[1
,2
]}

Ryblewski, Radoslaw ^{[2
]}

Strickland, Michael ^{[3
,4
]}

机构：

[1] Jan Kochanowski Univ, Inst Phys, PL-25406 Kielce, Poland

[2] Polish Acad Sci, H Niewodniczanski Inst Nucl Phys, PL-31342 Krakow, Poland

[3] Kent State Univ, Dept Phys, Kent, OH 44242 USA

[4] Frankfurt Inst Adv Studies, D-60438 Frankfurt, Germany

来源：

PHYSICAL REVIEW C | 2013年 / 88卷 / 02期

基金：

美国国家科学基金会;

关键词：

KINETIC COEFFICIENTS; ENTROPY PRODUCTION; EQUILIBRATION; PLASMA; COLLISIONS;

D O I：

10.1103/PhysRevC.88.024903

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：

We exactly solve the one-dimensional boost-invariant Boltzmann equation in the relaxation time approximation for arbitrary shear viscosity. The results are compared with the predictions of viscous and anisotropic hydrodynamics. Studying different nonequilibrium cases and comparing the exact kinetic-theory results to the second-order viscous hydrodynamics results we find that recent formulations of second-order viscous hydrodynamics agree better with the exact solution than the standard Israel-Stewart approach. Additionally, we find that, given the appropriate connection between the kinetic and anisotropic hydrodynamics relaxation times, anisotropic hydrodynamics provides a very good approximation to the exact relaxation time approximation solution.

引用

页数：16

共 56 条

[1] RELATIVISTIC RELAXATION-TIME MODEL FOR BOLTZMANN-EQUATION [J].

ANDERSON, JL ;

WITTING, HR .

PHYSICA, 1974, 74 (03) :466-488

[2] Relativistic viscous hydrodynamics, conformal invariance, and holography [J].

Baier, Rudolf ;

Romatschke, Paul ;

Son, Dam Thanh ;

Starinets, Andrei O. ;

Stephanov, Mikhail A. .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (04)

[3] Dissipative hydrodynamics and heavy-ion collisions [J].

Baier, Rudolf ;

Romatschke, Paul ;

Wiedemann, Urs Achim .

PHYSICAL REVIEW C, 2006, 73 (06)

[4] EQUILIBRATION OF THE QUARK-GLUON PLASMA PRODUCED IN RELATIVISTIC HEAVY-ION COLLISIONS [J].

BANERJEE, B ;

BHALERAO, RS ;

RAVISHANKAR, V .

PHYSICS LETTERS B, 1989, 224 (1-2) :16-20

[5] THERMAL EQUILIBRATION IN ULTRA-RELATIVISTIC HEAVY-ION COLLISIONS [J].

BAYM, G .

PHYSICS LETTERS B, 1984, 138 (1-3) :18-22

[6]

BAYM G, 1984, NUCL PHYS A, V418, pC525, DOI 10.1016/0375-9474(84)90573-6

[7] BOOST-INVARIANT BOLTZMANN-VLASOV EQUATIONS FOR RELATIVISTIC QUARK-ANTIQUARK PLASMA [J].

BIALAS, A ;

CZYZ, W .

PHYSICAL REVIEW D, 1984, 30 (11) :2371-2378

[8] OSCILLATIONS OF QUARK-GLUON PLASMA GENERATED IN STRONG COLOR FIELDS [J].

BIALAS, A ;

CZYZ, W ;

DYREK, A ;

FLORKOWSKI, W .

NUCLEAR PHYSICS B, 1988, 296 (03) :611-624

[9] HIGHLY RELATIVISTIC NUCLEUS-NUCLEUS COLLISIONS - THE CENTRAL RAPIDITY REGION [J].

BJORKEN, JD .

PHYSICAL REVIEW D, 1983, 27 (01) :140-151

[10] Particle spectra in Pb-Pb collisions at √sNN=2.76 TeV [J].

Bozek, Piotr ;

Wyskiel-Piekarska, Iwona .

PHYSICAL REVIEW C, 2012, 85 (06)

← 1 2 3 4 5 6 →