Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory

被引：71

作者：

Bouras, I. ^{[1
]}

Molnar, E. ^{[2
,3
]}

Niemi, H. ^{[2
]}

Xu, Z. ^{[1
,2
]}

El, A. ^{[1
]}

Fochler, O. ^{[1
]}

Greiner, C. ^{[1
]}

Rischke, D. H. ^{[1
,2
]}

机构：

[1] Goethe Univ Frankfurt, Inst Theoret Phys, D-60438 Frankfurt, Germany

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

[3] Res Inst Particle & Nucl Phys, KFKI, H-1525 Budapest, Hungary

来源：

PHYSICAL REVIEW C | 2010年 / 82卷 / 02期

关键词：

HEAVY-ION COLLISIONS; THERMODYNAMICS; HYDRODYNAMICS; TRANSPORT;

D O I：

10.1103/PhysRevC.82.024910

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 solve the relativistic Riemann problem in viscous matter using the relativistic Boltzmann equation and the relativistic causal dissipative fluid-dynamical approach of Israel and Stewart. Comparisons between these two approaches clarify and point out the regime of validity of second-order fluid dynamics in relativistic shock phenomena. The transition from ideal to viscous shocks is demonstrated by varying the shear viscosity to entropy density ratio eta/s. We also find that a good agreement between these two approaches requires a Knudsen number Kn < 1/2.

引用

页数：14

共 54 条

[1]

Adams J, 2004, PHYS REV LETT, V92, DOI 10.1103/PhysRevLett.92.052302

[2] Elliptic flow of identified hadrons in Au+Au collisions at √sNN=200 GeV -: art. no. 182301 [J].

Adler, SS ;

Afanasiev, S ;

Aidala, C ;

Ajitanand, NN ;

Akiba, Y ;

Alexander, J ;

Amirikas, R ;

Aphecetche, L ;

Aronson, SH ;

Averbeck, R ;

Awes, TC ;

Azmoun, R ;

Babintsev, V ;

Baldisseri, A ;

Barish, KN ;

Barnes, PD ;

Bassalleck, B ;

Bathe, S ;

Batsouli, S ;

Baublis, V ;

Bazilevsky, A ;

Belikov, S ;

Berdnikov, Y ;

Bhagavatula, S ;

Boissevain, JG ;

Borel, H ;

Borenstein, S ;

Brooks, ML ;

Brown, DS ;

Bruner, N ;

Bucher, D ;

Buesching, H ;

Bumazhnov, V ;

Bunce, G ;

Burward-Hoy, JM ;

Butsyk, S ;

Camard, X ;

Chai, JS ;

Chand, P ;

Chang, WC ;

Chernichenko, S ;

Chi, CY ;

Chiba, J ;

Chiu, M ;

Choi, IJ ;

Choi, J ;

Choudhury, RK ;

Chujo, T ;

Cianciolo, V ;

Cobigo, Y .

PHYSICAL REVIEW LETTERS, 2003, 91 (18)

[3] The shock tube study in extended thermodynamics [J].

Au, JD ;

Torrilhon, M ;

Weiss, W .

PHYSICS OF FLUIDS, 2001, 13 (08) :2423-2432

[4]

AU JD, 2001, P 8 INT C HYP PROBL, V140

[5] Centrality and pseudorapidity dependence of elliptic flow for charged hadrons in Au plus Au collisions at √sNN=200 GeV -: art. no. 051901 [J].

Back, BB ;

Baker, MD ;

Ballintijn, M ;

Barton, DS ;

Betts, RR ;

Bickley, AA ;

Bindel, R ;

Budzanowski, A ;

Busza, W ;

Carroll, A ;

Decowski, MP ;

García, E ;

George, NK ;

Gulbrandsen, K ;

Gushue, S ;

Halliwell, C ;

Hamblen, J ;

Heintzelman, GA ;

Henderson, C ;

Hofman, DJ ;

Hollis, RS ;

Holynski, R ;

Holzman, B ;

Iordanova, A ;

Johnson, E ;

Kane, JL ;

Katzy, J ;

Khan, N ;

Kucewicz, W ;

Kulinich, P ;

Kuo, CM ;

Lin, WT ;

Manly, S ;

McLeod, D ;

Mignerey, AC ;

Nguyen, M ;

Nouicer, R ;

Olszewski, A ;

Pak, R ;

Park, IC ;

Pernegger, H ;

Reed, C ;

Remsberg, LP ;

Reuter, M ;

Roland, C ;

Roland, G ;

Rosenberg, L ;

Sagerer, J ;

Sarin, P ;

Sawicki, P .

PHYSICAL REVIEW C, 2005, 72 (05)

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

BJORKEN, JD .

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

[7] FLUX-CORRECTED TRANSPORT .1. SHASTA, A FLUID TRANSPORT ALGORITHM THAT WORKS [J].

BORIS, JP ;

BOOK, DL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1973, 11 (01) :38-69

[8] Development of relativistic shock waves in viscous gluon matter [J].

Bouras, I. ;

Molnar, E. ;

Niemi, H. ;

Xu, Z. ;

El, A. ;

Fochler, O. ;

Greiner, C. ;

Rischke, D. H. .

NUCLEAR PHYSICS A, 2009, 830 :741C-744C

[9] Relativistic Shock Waves in Viscous Gluon Matter [J].

Bouras, I. ;

Molnar, E. ;

Niemi, H. ;

Xu, Z. ;

El, A. ;

Fochler, O. ;

Greiner, C. ;

Rischke, D. H. .

PHYSICAL REVIEW LETTERS, 2009, 103 (03)

[10]

BOURAS I, 2010, J PHYS C SER, V19, P12045

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