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Iterative fluid dynamics

  • Regular Article - Theoretical Physics
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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.

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References

  1. P.F. Kolb, U.W. Heinz, P. Huovinen, K.J. Eskola, K. Tuominen, Nucl. Phys. A 696, 197 (2001) arXiv:hep-ph/0103234

    Article  ADS  Google Scholar 

  2. C. Shen, U. Heinz, P. Huovinen, H. Song, Phys. Rev. C 84, 044903 (2011) arXiv:nucl-th/1105.3226

    Article  ADS  Google Scholar 

  3. C.E. Aguiar, Y. Hama, T. Kodama, T. Osada, Nucl. Phys. A 698, 639 (2002) arXiv:hep-ph/0106266

    Article  ADS  Google Scholar 

  4. Z. Qiu, U.W. Heinz, Phys. Rev. C 84, 024911 (2011) arXiv:nucl-th/1104.0650

    Article  ADS  Google Scholar 

  5. B. Schenke, P. Tribedy, R. Venugopalan, arXiv:nucl-th/1202.6646

  6. B. Schenke, S. Jeon, C. Gale, J. Phys. G 38, 124169 (2011)

    Article  ADS  Google Scholar 

  7. M. Dion, C. Gale, S. Jeon, J.-F. Paquet, B. Schenke, C. Young, J. Phys. G 38, 124138 (2011) arXiv:hep-ph/1107.0889

    Article  ADS  Google Scholar 

  8. F.G. Gardim, Y. Hama, F. Grassi, arXiv:nucl-th/1110.5658

  9. R.P.G. Andrade, F. Grassi, Y. Hama, W.-L. Qian, Nucl. Phys. A 854, 81 (2011) arXiv:hep-ph/1008.0139

    Article  ADS  Google Scholar 

  10. K. Werner, I. Karpenko, T. Pierog, M. Bleicher, K. Mikhailov, Phys. Rev. C 82, 044904 (2010) arXiv:nucl-th/1004.0805

    Article  ADS  Google Scholar 

  11. R. Derradi de Souza, J. Takahashi, T. Kodama, P. Sorensen, Phys. Rev. C 85, 054909 (2012) arXiv:hep-ph/1110.5698

    Article  ADS  Google Scholar 

  12. R. Chatterjee, H. Holopainen, T. Renk, K.J. Eskola, J. Phys. G 38, 124136 (2011) arXiv:hep-ph/1106.3884

    Article  ADS  Google Scholar 

  13. S. Borsanyi, G. Endrodi, Z. Fodor, C. Hoelbling, S. Katz, S. Krieg, C. Ratti, K. Szabo, J. Phys. Conf. Ser. 316, 012020 (2011)

    Article  ADS  Google Scholar 

  14. Y. Aoki, Z. Fodor, S.D. Katz, K.K. Szabo, JHEP 01, 089 (2006) arXiv:hep-lat/0510084

    Article  ADS  Google Scholar 

  15. P. Huovinen, P. Petreczky, J. Phys. G 38, 124103 (2011) arXiv:nucl-th/1106.6227

    Article  ADS  Google Scholar 

  16. WHOT-QCD Collaboration (S. Ejiri et al.), Phys. Rev. D 82, 014508 (2010) arXiv:hep-lat/0909.2121

    Article  ADS  Google Scholar 

  17. F. Karsch, H.W. Wyld, Phys. Rev. D 35, 2518 (1987)

    Article  ADS  Google Scholar 

  18. G. Aarts, J.M. Martinez Resco, Nucl. Phys. Proc. Suppl. 119, 505 (2003) arXiv:hep-lat/0209033

    Article  ADS  MATH  Google Scholar 

  19. J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, U.A. Wiedemann, arXiv:hep-th/1101.0618

  20. P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005) arXiv:hep-th/0405231

    Article  ADS  Google Scholar 

  21. A. Buchel, Phys. Lett. B 663, 286 (2008) arXiv:hep-th/0708.3459

    Article  ADS  Google Scholar 

  22. B. Friman, C. Höhne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, P. Senger (Editors), Lect. Notes Phys. 814, 1 (2011)

    Article  ADS  Google Scholar 

  23. L.D. Landau, Izv. Akad. Nauk Ser. Fiz. 17, 51 (1953)

    Google Scholar 

  24. S.Z. Belenkij, L.D. Landau, Nuovo Cimento Suppl. 3S10, 15 (1956)

    Article  Google Scholar 

  25. W. Israel, J.M. Stewart, Ann. Phys. (N.Y.) 118, 341 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  26. G.S. Denicol, H. Niemi, E. Molnar, D.H. Rischke, arXiv:nucl-th/1202.4551

  27. P. Van, T.S. Biro, Eur. Phys. J. ST 155, 201 (2008) arXiv:nucl-th/0704.2039

    Article  Google Scholar 

  28. P. Van, T.S. Biro, Phys. Lett. B 709, 106 (2012) arXiv:nucl-th/1109.0985

    Article  MathSciNet  ADS  Google Scholar 

  29. J.D. Bjorken, Phys. Rev. D 27, 140 (1983)

    Article  ADS  Google Scholar 

  30. S.S. Gubser, Phys. Rev. D 82, 085027 (2010) arXiv:hep-th/1006.0006

    Article  MathSciNet  ADS  Google Scholar 

  31. T. Csörgő, F. Grassi, Y. Hama, T. Kodama, Phys. Lett. B 565, 107 (2003) arXiv:nucl-th/0305059

    Article  ADS  Google Scholar 

  32. T. Csörgő, L.P. Csernai, Y. Hama, T. Kodama, Heavy Ion Phys. A 21, 73 (2004) arXiv:nucl-th/0306004

    Article  Google Scholar 

  33. T. Csörgő, M.I. Nagy, M. Csanad, Phys. Lett. B 663, 306 (2008) arXiv:nucl-th/0605070

    Article  ADS  Google Scholar 

  34. L.P. Csernai, Introduction to Relativistic Heavy-Ion Collisions (Wiley Chichester, UK, 1994)

  35. S. de Haro, S.N. Solodukhin, K. Skenderis, Commun. Math. Phys. 217, 595 (2001) arXiv:hep-th/0002230

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. R.A. Janik, Lect. Notes Phys. 828, 147 (2011) arXiv:hep-th/1003.3291

    Article  ADS  Google Scholar 

  37. K. Tsumura, T. Kunihiro, arXiv:physics.flu-dyn/1206.3913.

  38. K.J. Eskola, K. Kajantie, P.V. Ruuskanen, Eur. Phys. J. C 1, 627 (1998) arXiv:nucl-th/9705015

    Article  ADS  Google Scholar 

  39. C. Shen, U. Heinz, P. Huovinen, H. Song, Phys. Rev. C 82, 054904 (2010) arXiv:nucl-th/1010.1856

    Article  ADS  Google Scholar 

  40. 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

    Article  ADS  Google Scholar 

  41. 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

    Article  ADS  Google Scholar 

  42. R. Rapp, Acta Phys. Polon. B 42, 2823 (2011) arXiv:nucl-th/1110.4345

    Article  Google Scholar 

  43. D.E. Knuth, The Art of Computer Programming: Fundamental Algorithms, Vol. 1 (Addison-Wesley Publishing Company, Reading, Massachusetts, 1973) p. 50

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Authors and Affiliations

  1. Helmholtz-Zentrum Dresden-Rossendorf, D-01314, Dresden, Germany

    F. Wunderlich & B. Kämpfer

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  1. F. Wunderlich
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  2. B. Kämpfer
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Correspondence to F. Wunderlich.

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Communicated by T. Bıró

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Wunderlich, F., Kämpfer, B. Iterative fluid dynamics. Eur. Phys. J. A 48, 169 (2012). https://doi.org/10.1140/epja/i2012-12169-3

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  • DOI: https://doi.org/10.1140/epja/i2012-12169-3

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