Skip to main content
Log in

Viscosity and thermodynamic properties of QGP in relativistic heavy-ion collisions

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We study the viscosity and thermodynamic properties of QGP at RHIC by employing the recently extracted equilibrium distribution functions from two hot QCD equations of state of O(g 5) and O(g 6ln (1/g)), respectively. After obtaining the temperature dependence of the energy density and the entropy density, we focus our attention on the determination of the shear viscosity for a rapidly expanding interacting plasma, as a function of temperature. We find that the interactions significantly decrease the shear viscosity. They decrease the viscosity to entropy density ratio, \(\eta/{\mathcal{S}}\) as well.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. STAR Collaboration, Nucl. Phys. A 757, 102 (2005)

    Article  ADS  Google Scholar 

  2. PHENIX Collaboration, Nucl. Phys. A 757, 184 (2005)

    Article  ADS  Google Scholar 

  3. PHOBOS Collaboration, Nucl. Phys. A 757, 28 (2005)

    Article  ADS  Google Scholar 

  4. BRAHMS Collaboration, Nucl. Phys. A 757, 01 (2005)

    Article  Google Scholar 

  5. P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005)

    Article  ADS  Google Scholar 

  6. R. Baier, P. Romatschke, arXiv:nucl-th/0610108

  7. Drescher et al., Phys. Rev. C 76, 024905 (2007)

    Article  ADS  Google Scholar 

  8. F. Karsch, Lect. Notes Phys. 583, 209 (2002). arXiv:hep-lat/0106019

    Article  ADS  Google Scholar 

  9. E.V. Shuryak, Nucl. Phys. A 774, 387 (2006). hep-ph/0608177

    Article  ADS  Google Scholar 

  10. B.A. Gelman, E.V. Shuryak, I. Zahed, Phys. Rev. C 74, 044908 (2007). arXiv:0704.3553 (nucl-th)

    Article  ADS  Google Scholar 

  11. H.B. Meyer, Phys. Rev. D 76, 10171 (2007). arXiv:0704.1801 (hep-lat)

    Article  Google Scholar 

  12. A. Nakamura, S. Sakai, Phys. Rev. Lett. 94, 072305 (2005)

    Article  ADS  Google Scholar 

  13. Adare et al., Phys. Rev. Lett. 98, 172301 (2007)

    Article  ADS  Google Scholar 

  14. S. Gavin, M. Abdel-Aziz, Phys. Rev. Lett. 97, 162302 (2006)

    Article  ADS  Google Scholar 

  15. STAR Collaboration, Nucl. Phys. A 757, 102 (2005)

    Google Scholar 

  16. Lacey et al., Phys. Rev. Lett. 98, 092301 (2007)

    Article  ADS  Google Scholar 

  17. Z. Xu, C. Greiner, Phys. Rev. Lett. 100, 172301 (2008)

    Article  ADS  Google Scholar 

  18. M. Asakawa, S.A. Bass, B. Muller, Prog. Theor. Phys. 116, 725 (2007). arXiv:hep-ph/0608270

    Article  ADS  Google Scholar 

  19. M. Asakawa, S.A. Bass, B. Muller, Phys. Rev. Lett. 96, 252301 (2006)

    Article  ADS  Google Scholar 

  20. A. Majumdar, B. Müller, X.-N. Wang, Phys. Rev. Lett. 99, 192301 (2007). arXiv:hep-ph/0703082

    Article  ADS  Google Scholar 

  21. P. Arnold, C. Zhai, Phys. Rev. D 50, 7603 (1994)

    Article  ADS  Google Scholar 

  22. P. Arnold, C. Zhai, Phys. Rev. D 51, 1906 (1995)

    Article  ADS  Google Scholar 

  23. C. Zhai, B. Kastening, Phys. Rev. D 52, 7232 (1995)

    Article  ADS  Google Scholar 

  24. K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder, Phys. Rev. D 67, 105008 (2003)

    Article  ADS  Google Scholar 

  25. V. Chandra, R. Kumar, V. Ravishankar, Phys. Rev. C 76, 054909 (2007). arXiv:0705.2690 [mucl-th]

    Article  ADS  Google Scholar 

  26. V. Chandra, A. Ranjan, V. Ravishankar, arXiv:0801.1286 [hep-ph]

  27. S. Haung, M. Lissia, Nucl. Phys. B 438, 54 (1995)

    Article  ADS  Google Scholar 

  28. S.J. Brodsky, G.P. Lepage, P.B. Mackenzie, Phys. Rev. D 28, 228 (1983)

    Article  ADS  Google Scholar 

  29. E. Braaten, A. Neito, Phys. Rev. D 53, 3421 (1996). hep-ph/9510408

    Article  ADS  Google Scholar 

  30. A. Vuorinen, arXiv:hep-ph/0402242

  31. J.-P. Blaizot, E. Iancu, A. Rebhan, Phys. Rev. D 68, 025011 (2003)

    Article  ADS  Google Scholar 

  32. S. Gupta, Phys. Rev. D 64, 034507 (2001). hep-lat/oo1oo11

    Article  ADS  Google Scholar 

  33. O. Kaczmarek, F. Zantow, Pos LaT 2005, p. 177. arXiv:hep-lat/0510093

  34. A. Ranjan, V. Ravishankar, arXiv:0708.3697 (nucl-th)

  35. H. Satz, Nucl. Phys. A 783, 249 (2007)

    Article  ADS  Google Scholar 

  36. W.M. Alberico, A. Beraudo, A. De Pace, A. Molinari, Phys. Rev. D 75, 074009 (2007)

    Article  ADS  Google Scholar 

  37. P. Arnold, G.D. Moore, L.G. Yaffe, J. High Energy Phys. 0011, 001 (2000)

    Article  ADS  Google Scholar 

  38. E.M. Lifshitz, L.P. Pitaevskii, In Physical Kinetics, vol. 10, edited by Landau, Lifshitz. (Pergamon)

  39. T.H. Dupree, Phys. Fluids 9, 1773 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  40. T.H. Dupree, Phys. Fluids 11, 2680 (1968)

    Article  ADS  Google Scholar 

  41. A. Buchel, J.T. Liu, A.O. Strainets, Nucl. Phys. B 707, 56 (2005)

    Article  ADS  Google Scholar 

  42. A. Majumder, arXiv:nucl-th/0702066

  43. H. Zhang, J.F. Owens, E. Wang, X.N. Wang, arXiv:nucl-th/0701045

  44. A. Majumder, C. Nonaka, S.A. Bass, arXiv:nucl-th/0703019

  45. R. Baier, Y.L. Dokshitzer, A.H. Mueller, S. Peigne, D. Schi, Nucl. Phys. B 483, 291 (1997)

    Article  Google Scholar 

  46. N. Armesto, L. Cunqueiro, C.A. Salgado, W.-C. Xiang, arXiv:0710.3073 (hep-ph)

  47. F. Karsch, arXiv:0711.0661 [hep-lat]

  48. M. Cheng et al., Phys. Rev. D 77, 014511 (2008). arXiv:0710.0354 [hep-lat]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vinod Chandra.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandra, V., Ravishankar, V. Viscosity and thermodynamic properties of QGP in relativistic heavy-ion collisions. Eur. Phys. J. C 59, 705–714 (2009). https://doi.org/10.1140/epjc/s10052-008-0814-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-008-0814-0

PACS

Navigation