Abstract
An iterative scheme is presented to solve analytically the relativistic fluid dynamics equations. The scheme is applied to the longitudinal expansion, the transversal symmetric and the transversal asymmetric (triaxial) expansion as well. Within this scheme it is possible to describe the dynamics of a strongly coupled (i.e. conformal) medium for parameters referring to heavy-ion collisions at LHC.
Similar content being viewed by others
References
P.F. Kolb, U.W. Heinz, P. Huovinen, K.J. Eskola, K. Tuominen, Nucl. Phys. A 696, 197 (2001) arXiv:hep-ph/0103234
C. Shen, U. Heinz, P. Huovinen, H. Song, Phys. Rev. C 84, 044903 (2011) arXiv:nucl-th/1105.3226
C.E. Aguiar, Y. Hama, T. Kodama, T. Osada, Nucl. Phys. A 698, 639 (2002) arXiv:hep-ph/0106266
Z. Qiu, U.W. Heinz, Phys. Rev. C 84, 024911 (2011) arXiv:nucl-th/1104.0650
B. Schenke, P. Tribedy, R. Venugopalan, arXiv:nucl-th/1202.6646
B. Schenke, S. Jeon, C. Gale, J. Phys. G 38, 124169 (2011)
M. Dion, C. Gale, S. Jeon, J.-F. Paquet, B. Schenke, C. Young, J. Phys. G 38, 124138 (2011) arXiv:hep-ph/1107.0889
F.G. Gardim, Y. Hama, F. Grassi, arXiv:nucl-th/1110.5658
R.P.G. Andrade, F. Grassi, Y. Hama, W.-L. Qian, Nucl. Phys. A 854, 81 (2011) arXiv:hep-ph/1008.0139
K. Werner, I. Karpenko, T. Pierog, M. Bleicher, K. Mikhailov, Phys. Rev. C 82, 044904 (2010) arXiv:nucl-th/1004.0805
R. Derradi de Souza, J. Takahashi, T. Kodama, P. Sorensen, Phys. Rev. C 85, 054909 (2012) arXiv:hep-ph/1110.5698
R. Chatterjee, H. Holopainen, T. Renk, K.J. Eskola, J. Phys. G 38, 124136 (2011) arXiv:hep-ph/1106.3884
S. Borsanyi, G. Endrodi, Z. Fodor, C. Hoelbling, S. Katz, S. Krieg, C. Ratti, K. Szabo, J. Phys. Conf. Ser. 316, 012020 (2011)
Y. Aoki, Z. Fodor, S.D. Katz, K.K. Szabo, JHEP 01, 089 (2006) arXiv:hep-lat/0510084
P. Huovinen, P. Petreczky, J. Phys. G 38, 124103 (2011) arXiv:nucl-th/1106.6227
WHOT-QCD Collaboration (S. Ejiri et al.), Phys. Rev. D 82, 014508 (2010) arXiv:hep-lat/0909.2121
F. Karsch, H.W. Wyld, Phys. Rev. D 35, 2518 (1987)
G. Aarts, J.M. Martinez Resco, Nucl. Phys. Proc. Suppl. 119, 505 (2003) arXiv:hep-lat/0209033
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, U.A. Wiedemann, arXiv:hep-th/1101.0618
P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005) arXiv:hep-th/0405231
A. Buchel, Phys. Lett. B 663, 286 (2008) arXiv:hep-th/0708.3459
B. Friman, C. Höhne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, P. Senger (Editors), Lect. Notes Phys. 814, 1 (2011)
L.D. Landau, Izv. Akad. Nauk Ser. Fiz. 17, 51 (1953)
S.Z. Belenkij, L.D. Landau, Nuovo Cimento Suppl. 3S10, 15 (1956)
W. Israel, J.M. Stewart, Ann. Phys. (N.Y.) 118, 341 (1979)
G.S. Denicol, H. Niemi, E. Molnar, D.H. Rischke, arXiv:nucl-th/1202.4551
P. Van, T.S. Biro, Eur. Phys. J. ST 155, 201 (2008) arXiv:nucl-th/0704.2039
P. Van, T.S. Biro, Phys. Lett. B 709, 106 (2012) arXiv:nucl-th/1109.0985
J.D. Bjorken, Phys. Rev. D 27, 140 (1983)
S.S. Gubser, Phys. Rev. D 82, 085027 (2010) arXiv:hep-th/1006.0006
T. Csörgő, F. Grassi, Y. Hama, T. Kodama, Phys. Lett. B 565, 107 (2003) arXiv:nucl-th/0305059
T. Csörgő, L.P. Csernai, Y. Hama, T. Kodama, Heavy Ion Phys. A 21, 73 (2004) arXiv:nucl-th/0306004
T. Csörgő, M.I. Nagy, M. Csanad, Phys. Lett. B 663, 306 (2008) arXiv:nucl-th/0605070
L.P. Csernai, Introduction to Relativistic Heavy-Ion Collisions (Wiley Chichester, UK, 1994)
S. de Haro, S.N. Solodukhin, K. Skenderis, Commun. Math. Phys. 217, 595 (2001) arXiv:hep-th/0002230
R.A. Janik, Lect. Notes Phys. 828, 147 (2011) arXiv:hep-th/1003.3291
K. Tsumura, T. Kunihiro, arXiv:physics.flu-dyn/1206.3913.
K.J. Eskola, K. Kajantie, P.V. Ruuskanen, Eur. Phys. J. C 1, 627 (1998) arXiv:nucl-th/9705015
C. Shen, U. Heinz, P. Huovinen, H. Song, Phys. Rev. C 82, 054904 (2010) arXiv:nucl-th/1010.1856
S. Borsanyi, G. Endrodi, Z. Fodor, A. Jakovac, S.D. Katz, S. Krieg, C. Ratti, K.K. Szabo, JHEP 11, 077 (2010) arXiv:hep-lat/1007.2580
S.A. Bass, C. Gale, A. Majumder, C. Nonaka, G.-Y. Qin, T. Renk, J. Ruppert, Phys. Rev. C 79, 024901 (2009) arXiv:nucl-th/0808.0908
R. Rapp, Acta Phys. Polon. B 42, 2823 (2011) arXiv:nucl-th/1110.4345
D.E. Knuth, The Art of Computer Programming: Fundamental Algorithms, Vol. 1 (Addison-Wesley Publishing Company, Reading, Massachusetts, 1973) p. 50
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by T. Bıró
Rights and permissions
About this article
Cite this article
Wunderlich, F., Kämpfer, B. Iterative fluid dynamics. Eur. Phys. J. A 48, 169 (2012). https://doi.org/10.1140/epja/i2012-12169-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2012-12169-3