Skip to main content

The Hydrodynamic Model for High-Energy Heavy Ion Reactions

  • Chapter
Hot and Dense Nuclear Matter

Part of the book series: NATO ASI Series ((NSSB,volume 335))

  • 260 Accesses

Abstract

Hydrodynamic models1−3 have the great advantage of allowing for a simple relativistic formulation and explicit use of the equation of state of excited hadronic matter. On the other hand, when applying one-fluid hydrodynamics to heavy ion collisions, one assumes local thermodynamic equilibrium, which is probably not a good approximation at high bombarding energies. Nevertheless, at relatively low bombarding energies the hydrodynamic model has been successfully used to describe heavy ion collisions4−6 and even at CERN energies it seems not to contradict experimental data7. Note that also the Landau model8 and related models9−12 are successfully applied to describe certain observables of multiparticle production in hadron-hadron, hadron-nucleus and nucleus-nucleus collisions.

Invited Speaker

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.A. Maruhn and W. Greiner in Treatise on Heavy-Ion Science, vol. 4, ed. D.A. Bromley, Plenum Press, NY and London: 565 (1985).

    Google Scholar 

  2. R.B. Clare, D. Strottman, Phys. Rep. 141: 177 (1986).

    Article  ADS  Google Scholar 

  3. I.N. Mishustin, V.N. Russkikh, L.M. Satarov in Relativistic Heavy-Ion Physics, vol. 6, eds. L.P. Csernai, D. Strottman, World Scientific, Singapore: 179 (1991).

    Google Scholar 

  4. G. Buchwald, G. Graebner, D. Barthel, T. Rentzsch, J.A. Maruhn, W. Greiner, H. Stöcker, Nucl. Phys. A428: 537c (1984).

    Google Scholar 

  5. W. Schmidt, B. Waldhauser, H. Stöcker, University Frankfurt preprint UFTP 295 (1992).

    Google Scholar 

  6. I.N. Mishustin, V.N. Russkikh, L.M. Satarov, Sov. J. Nucl. Phys. 48: 454 (1988); Sov. J. Nucl. Phys. 54: 260 (1991).

    Google Scholar 

  7. B. Waldhauser, D.H. Rischke, U. Katscher, J.A. Maruhn, H. Stöcker, W. Greiner. Z. Phys. C54: 459 (1992).

    ADS  Google Scholar 

  8. L.D. Landau, S.Z. Belen’kii, Izv. Akad. Nauk SSSR, Ser. fiz. 17: 51 (1953).

    Google Scholar 

  9. I.L. Rozental, Y.A. Tarasov, Sov. Phys. JETP 58: 892 (1983).

    Google Scholar 

  10. K.S. Lee, E. Schnedermann, J. Sollfrank, U. Heinz, Nucl. Phys. A525: 523 (1991).

    ADS  Google Scholar 

  11. U. Ornik, R.M. Weiner, Phys. Lett. B263: 503 (1991).

    ADS  Google Scholar 

  12. J. Stachel, P. Braun-Munzinger, Phys. Lett. B216: 1 (1989).

    ADS  Google Scholar 

  13. W. Schmidt, PhD-thesis, University Frankfurt (1989).

    Google Scholar 

  14. P. Danielewicz, Phys. Lett. B146: 141 (1984).

    Google Scholar 

  15. C.W. Misner, K.S. Thorne, J.A. Wheeler, “Gravitation” (W.H. Freeman and Co., San Francisco 1973).

    Google Scholar 

  16. L.D. Landau and E.M. Lifshitz, “Fluid Mechanics” (Pergamon Press, London 1959).

    Google Scholar 

  17. J.P. Boris and D.L. Book, J. Comp. Phys. 11: 38 (1973).

    Article  ADS  MATH  Google Scholar 

  18. V. Schneider, U. Katscher, D.H. Rischke, B. Waldhauser, J.A. Maruhn, C.D. Munz, J. Comp. Phys. 105: 92 (1993).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. J.D. Walecka, Ann. Phys. 83: 491 (1974).

    Article  ADS  Google Scholar 

  20. B.D. Serot and J.D. Walecka, Phys. Lett. 27B: 172 (1979).

    ADS  Google Scholar 

  21. J. Theis, G. Graebner, G. Buchwald, J.A. Maruhn, W. Greiner, H. Stöcker, J. Polonyi, Phys. Rev. D28: 2286 (1983).

    ADS  Google Scholar 

  22. M.I. Gorenstein, D.H. Rischke, K.A. Bugaev, H. Stöcker, W. Greiner, University Frankfurt preprint UFTP 239 (1989).

    Google Scholar 

  23. K.A. Bugaev, M.I. Gorenstein, V.I. Zhdanov, Z. Phys. C43: 365 (1988).

    Google Scholar 

  24. K.A. Bugaev, M.I. Gorenstein, B. Kämpfer, V.I. Zhdanov, Phys. Rev. D40: 2903 (1989).

    ADS  Google Scholar 

  25. K.A. Bugaev, M.I. Gorenstein and D.H. Rischke, Phys. Lett. B255: 18 (1991).

    ADS  Google Scholar 

  26. J. Clemens, R.V. Gavai, E. Suhonen, Phys. Rep. 130: 217 (1986).

    Article  ADS  Google Scholar 

  27. H.G. Baumgardt, J.U. Schott, Y. Sakamoto, E. Schopper, H. Stöcker, J. Hofmann, W. Scheid, W. Greiner, Z. Phys. A273: 359 (1975)

    ADS  Google Scholar 

  28. G.F. Chapline, A. Granik, Nucl. Phys. A459: 681 (1986); Nucl. Phys. A511: 747 (1990).

    ADS  Google Scholar 

  29. D.H. Rischke, H. Stöcker, W. Greiner, Phys. Rev. D42: 2283 (1990).

    ADS  Google Scholar 

  30. H.R. Schmidt and the WA80 collaboration, Z. Phys. C38: 109 (1988).

    Google Scholar 

  31. T.L. McAbee, J.R. Wilson, J.A. Zingman, C.T. Alonso, Mod. Phys. Lett. A4: 983 (1989).

    ADS  Google Scholar 

  32. C. Bottcher and M.R. Strayer, Ann. of Physics 175: 175 (1987).

    Article  Google Scholar 

  33. D.J. Dean, C. Bottcher, M.R. Strayer, J.C. Wells, A.v. Keitz, Y. Pürsün, D.H. Rischke, J.A. Maruhn, (submitted to Phys. Rev. E, 1993).

    Google Scholar 

  34. A.A. Amsden, A.S. Goldhaber, F.H. Harlow, J.R. Nix, Phys. Rev. C17: 2080 (1978).

    ADS  Google Scholar 

  35. V.N. Russkihk and Y.B. Ivanov, Nucl. Phys. A543: 751 (1992).

    ADS  Google Scholar 

  36. L.P. Csernai, I. Lovas, J.A. Maruhn, A. Rosenhauer, J. Zimanyi, W. Greiner, Phys. Rev. C26: 149 (1982).

    ADS  Google Scholar 

  37. A. Rosenhauer, J.A. Maruhn, W. Greiner, L.P. Csernai, Z. Phys. A326: 213 (1987).

    ADS  Google Scholar 

  38. U. Katscher, D.H. Rischke, J.A. Maruhn, W. Greiner, I.N. Mishustin, L.M. Satarov, Z. Phys. A346: 209 (1993).

    ADS  Google Scholar 

  39. I. Müller, Z. Physik 198: 329 (1967).

    Article  ADS  MATH  Google Scholar 

  40. W.A. Hiscock and L. Lindblom, Phys. Rev. D31: 725 (1985).

    MathSciNet  ADS  Google Scholar 

  41. Ch.G. van Weert, in: Relativistic Fluid Dynamics, ed. A. Anile and Y. Choquet-Bruhat (Lecture Notes in Mathematics 1385, Springer-Verlag, Berlin and Heidelberg): 290 (1989).

    Chapter  Google Scholar 

  42. W. Israel and J.M. Stewart, Ann. Phys. 118: 341 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  43. W.A. Hiscock and T.S. Olsen, Phys. Lett. a141: 125 (1989).

    ADS  Google Scholar 

  44. H. Grad, Commun. Pure Apll. Math. 5: 257 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  45. A.M. Anile and A. Majorana, Meccanica 16: 149 (1981).

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media New York

About this chapter

Cite this chapter

Pürsün, Y. et al. (1994). The Hydrodynamic Model for High-Energy Heavy Ion Reactions. In: Greiner, W., Stöcker, H., Gallmann, A. (eds) Hot and Dense Nuclear Matter. NATO ASI Series, vol 335. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2516-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-2516-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6071-1

  • Online ISBN: 978-1-4615-2516-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics