Skip to main content

Fluid dynamics for relativistic nuclear collisions

  • Conference paper
  • First Online:
Hadrons in Dense Matter and Hadrosynthesis

Part of the book series: Lecture Notes in Physics ((LNP,volume 516))

Abstract

I give an introduction to the basic concepts of fluid dynamics as applied to the dynamical description of relativistic nuclear collisions.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Stöcker and W. Greiner, Phys. Rep. 137, 277 (1986)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. L.P. Csernai, Introduction to relativistic heavy ion collisions (Wiley, New York, 1994)

    Google Scholar 

  4. see, for instance: E. Laermann, Nucl. Phys. A 610, 1 (1996)

    ADS  Google Scholar 

  5. L.D. Landau and E.M. Lifshitz, Fluid mechanics (Pergamon, New York, 1959)

    Google Scholar 

  6. S.R. deGroot, W.A. van Leeuwen, and Ch.G. van Weert, Relativistic Kinetic Theory (North-Holland, Amsterdam, 1980)

    Google Scholar 

  7. W.A. Hiscock and L. Lindblom, Ann. Phys. 151, 466 (1983); Phys. Rev. D 31, 725 (1985); Phys. Rev. D 35, 3723 (1987)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. I. Müller, Z. Phys. 198, 329 (1967)

    Article  MATH  ADS  Google Scholar 

  9. W. Israel, Ann. Phys. 100, 310 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  10. J.M. Stewart, Proc. Roy. Soc. A 357, 59 (1977)

    ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  12. L. Mornas and U. Ornik, Nucl. Phys. A 587, 828 (1995)

    ADS  Google Scholar 

  13. M. Prakash, M. Prakash, R. Venugopalan, and G. Welke, Phys. Rep. 227, 321 (1993)

    Article  ADS  Google Scholar 

  14. A.A. Amsden, A.S. Goldhaber, F.H. Harlow, and J.R. Nix, Phys. Rev. C 17, 2080 (1978)

    Article  ADS  Google Scholar 

  15. I.N. Mishustin, V.N. Russkikh, and L.M. Satarov, Nucl. Phys. A 494, 595 (1989)

    ADS  Google Scholar 

  16. J. Brachmann, A. Dumitru, J.A. Maruhn, H. Stöcker, W. Greiner, and D.H. Rischke, Nucl. Phys. A 619, 391 (1997)

    ADS  Google Scholar 

  17. To my knowledge, this treatment of the transformation problem is due to B. Kämpfer.

    Google Scholar 

  18. V. Schneider et al., J. Comput. Phys. 105, 92 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. A. Harten, P.D. Lax, and B. van Leer, SIAM Rev. 25, 35 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  20. B. Einfeldt, SIAM J. Numer. Anal. 25, 294 (1988)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. M. Holt, Numerical methods in fluid dynamics, Springer Series in Comput. Physics (Springer, Berlin, 1977)

    MATH  Google Scholar 

  22. D.H. Rischke, S. Bernard, and J.A. Maruhn, Nucl. Phys. A 595, 346 (1995)

    ADS  Google Scholar 

  23. R. Courant and K.O. Friedrichs, Supersonic Flow and Shock Waves (Springer, New York, 1985)

    Google Scholar 

  24. A.M. Taub, Phys. Rev. 74, 328 (1948)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. D.H. Rischke, Y. Pürsün, and J.A. Maruhn, Nucl. Phys. A 595, 383 (1995)

    ADS  Google Scholar 

  26. P. Danielewicz and P.V. Ruuskanen, Phys. Rev. D 35, 344 (1987)

    Article  ADS  Google Scholar 

  27. A. Chodos, R.L. Jaffe, K. Johnson, C.B. Thorn, and V.F. Weisskopf, Phys. Rev. D 9, 3471 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  28. D.H. Rischke and M. Gyulassy, Nucl. Phys. A 597, 701 (1996)

    ADS  Google Scholar 

  29. C.M. Hung and E.V. Shuryak, Phys. Rev. Lett. 75, 4003 (1995)

    Article  ADS  Google Scholar 

  30. L.D. Landau and S.Z. Belenkii, Uspekhi Fiz. Nauk 56, 309 (1955)

    MATH  Google Scholar 

  31. F. Cooper, G. Frye, and E. Schonberg, Phys. Rev. D 11, 192 (1975)

    Article  ADS  Google Scholar 

  32. C. Chiu and K.H. Wang, Phys. Rev. D 12, 272 (1975)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  34. G.A. Sod, J. Fluid Mech. 83, 785 (1977)

    Article  MATH  ADS  Google Scholar 

  35. D.H. Rischke and M. Gyulassy, Nucl. Phys. A 608, 479 (1996)

    ADS  Google Scholar 

  36. U. Heinz, proceedings of the International Summer School on Correlations and Clustering Phenomena in Subatomic Physics, Dronten, Netherlands, August 5–16, 1996, e-print archive nucl-th/9609029

    Google Scholar 

  37. S. Bernard, D.H. Rischke, J.A. Maruhn, and W. Greiner, Nucl. Phys. A 625, 473 (1997)

    ADS  Google Scholar 

  38. K.A. Bugaev, Nucl. Phys. A 606, 559 (1996)

    ADS  Google Scholar 

  39. C. Anderlik, Z.I. Lazar, V.K. Magas, L.P. Csernai, H. Stöcker, and W. Greiner, e-print archive nucl-th/9808024

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jean Cleymans Hendrik B. Geyer Frederik G. Scholtz

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag

About this paper

Cite this paper

Rischke, D.H. (1999). Fluid dynamics for relativistic nuclear collisions. In: Cleymans, J., Geyer, H.B., Scholtz, F.G. (eds) Hadrons in Dense Matter and Hadrosynthesis. Lecture Notes in Physics, vol 516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107310

Download citation

  • DOI: https://doi.org/10.1007/BFb0107310

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65209-0

  • Online ISBN: 978-3-540-49483-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics