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Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry

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Acta Physica Hungarica Series A, Heavy Ion Physics

Abstract

Simple, self-similar, analytic solutions of (1+3)-dimensional relativistic hydrodynamics are presented for ellipsoidally symmetric finite fireballs corresponding to non-central collisions of heavy ions at relativistic bombarding energies. The hydrodynamical solutions are obtained for a new, general family of equations of state with the possibility of describing phase transitions.

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References

  1. T. Csörgő, F. Grassi, Y. Hama and T. Kodama, Acta Phys. Hung. A21 (2004) 53 [hep-ph/0203204]; Phys. Lett. B 565 (2003) 107 [nucl-th/0305059].

    Article  Google Scholar 

  2. R.C. Hwa, Phys. Rev. D10 (1974) 2260; C.B. Chiu and K.-H. Wang, Phys. Rev. D12 (1975) 272; C.B. Chiu, E.C.G. Sudarshan and K.-H. Wang, Phys. Rev. D12 (1975) 902; M.I. Gorenstein, V.I. Zhdanov and Yu.M. Sinyukov, Sov. Phys. JETP 47 (78) 435; K. Kajantie and L.D. McLerran, Phys. Lett. B 119 (1982) 203; K. Kajantie and L.D. McLerran, Nucl. Phys., B214 (1983) 261; J.D. Bjorken, Phys. Rev. D27 (1983) 140.

    ADS  Google Scholar 

  3. T. Csörgő, F. Grassi, Y. Hama and T. Kodama, Acta Phys. Hung. A21 (2004) 63 [hep-ph/0204300].

    Article  Google Scholar 

  4. I.M. Khalatnikov, Zh. Eksp. Teor. Fiz. 27 (1954) 529; see also [5].

    Google Scholar 

  5. L.D. Landau, Izv. Akad. Nauk SSSR 17 (1953) 51; S.Z. Belenkij and L.D. Landau, Usp. Fiz. Nauk 56 (1955) 309; in Collected papers of L.D. Landau, ed. D. Ter-Haar, Pergamon, Oxford, 1965, pp. 569–585 and pp. 665–700.

    Google Scholar 

  6. L.P. Csernai, Introduction to Relativistic Heavy Ion Collisions, John Wiley & Sons, 1994.

  7. T.S. Biró, Phys. Lett. B474 (2000) 21.

    MATH  MathSciNet  Google Scholar 

  8. T.S. Biró, Phys. Lett. B487 (2000) 133.

    Google Scholar 

  9. C.E. Aguiar, T. Kodama, T. Osada and Y. Hama, J. Phys. G27 (2001) 75.

    ADS  Google Scholar 

  10. C.E. Aguiar, Y. Hama, T. Kodama and T. Osada, Nucl. Phys. A698 (2002) 639.

    Article  Google Scholar 

  11. J. Bondorf, S. Garpman and J. Zimányi, Nucl. Phys. A296 (1978) 320.

    Article  Google Scholar 

  12. J.N. De, S.I.A. Garpman, D. Sperber, J.P. Bondorf and J. Zimányi, Nucl. Phys. A305 (1978) 226.

    Article  Google Scholar 

  13. P. Csizmadia, T. Csörgő and B. Lukács, Phys. Lett. B443 (1998) 21 [nucl-th/9805006].

    Google Scholar 

  14. T. Csörgő, nucl-th/9809011.

  15. S.V. Akkelin, T. Csörgő, B. Lukács, Yu.M. Sinyukov and M. Weiner, Phys. Lett. B 505 (2001) 64.

    Article  ADS  Google Scholar 

  16. T. Csörgő, S.V. Akkelin, Y. Hama, B. Lukács and Yu.M. Sinyukov, Phys. Rev. C67 (2003) 034904 [hep-ph/0108067].

    Article  ADS  Google Scholar 

  17. T. Csörgő, hep-ph/0111139.

  18. M. Gyulassy and T. Matsui, Phys. Rev. D29 (1984) 419.

    ADS  Google Scholar 

  19. P. Lévai and U. Heinz, Phys. Rev. C57 (1998) 916; A. Peischer, B. Kämpfer and G. Soff, Phys. Rev. C61 (2000) 045203; A. Peischer, B. Kämpfer and G. Soff, Phys. Rev. D66 (2002) 094003; A.I. Tóth and K.K. Szabó. hep-ph/0302255.

    Article  Google Scholar 

  20. T. Csörgő and L.P. Csernai, Phys. Lett. B333 (1994) 494.

    Google Scholar 

  21. L.P. Csernai and I.N. Mishustin, Phys. Rev. Lett. 74 (1995) 5005.

    Article  ADS  Google Scholar 

  22. F. Grassi, Y. Hama and T. Kodama, Phys. Lett. B355 (1995) 9; Z. Phys. C73 (1996) 153.

    Google Scholar 

  23. Yu.M. Sinyukov, S.V. Akkelin and Y. Hama, Phys. Rev. Lett. 89 (2002) 052301.

    Article  ADS  Google Scholar 

  24. T. Csörgő and B. Lörstad, Phys. Rev. C54 (1996) 1390; T. Csörgő and B. Lörstad, Nucl. Phys. A590 (1995) 465c.

    Article  ADS  Google Scholar 

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Csörgő, T., Csernai, L.P., Hama, Y. et al. Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry. Acta Phys. Hung. A 21, 73–84 (2004). https://doi.org/10.1556/APH.21.2004.1.8

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