Skip to main content
SpringerLink
Log in

Equation of State of Quark-Gluon Plasma Using a Simple Statistical Model

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

A statistical model is discussed to study the equation of state with the finite size effect. Finite-size effects are taken into account by using Multiple Reflection Expansion (MRE). It modifies the free energy by expanding it, in volume, surface and curvature terms. To incorporate finite size effects in the calculation of equation of state, model needs to consider the surface part as effective contribution factor. The equation of state produced by the model matches well with the lattice results.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Shuryak, E.V.: Phys. Rep. 61, 71 (1980)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. Satz, H.: The states of matter in QCD. arXiv:09032778[hep-ph] (2009)

  4. Ramanathan, R., Mathur, Y.K., Gupta, K.K., Jha, A.K.: Phys. Rev. C 70, 027903 (2004)

    Article  ADS  Google Scholar 

  5. Singh, S.S., Gosain, D.S., Kumar, Y., Jha, A.K.: Pram. J. Phys. 74, 27–37 (2010)

    Google Scholar 

  6. Borsanyi, S., et al.: JHEP 11, 077 (2010)

    Article  ADS  Google Scholar 

  7. Bernard, C., et al.: Phys. Rev. D 094505, 75 (2007)

    Google Scholar 

  8. Laermann, E.: Acta Phys. Polon. B.: Proceedings Supplement 3, 611 (2010)

  9. Karsch, F.: Nucl. Phys. A 698, 199c–208c (2002)

    Article  ADS  Google Scholar 

  10. Weyl, H.: Nachr. Akad.: Wiss Gottingen, p 110 (1911)

  11. Levai, P., Heinz, U.W.: Phys. Rev. C 57, 1879 (1998)

    Article  ADS  Google Scholar 

  12. Schneider, R.A., Weise W: Phys. Rev. C 64, 055201 (2001)

    Article  ADS  Google Scholar 

  13. Balian, R., Bloch, C.: Ann. Phys. (N.Y.) 60, 401 (1970)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Berger, M.S., Jaffe, R.L.: Phys. Rev. C 35, 213 (1987)

    Article  ADS  Google Scholar 

  15. Farhi, E., Jaffe, R.L.: Phys. Rev. D 30, 2379 (1984)

    Article  ADS  Google Scholar 

  16. Mardor, I., Sevetitsky, B.: Phys. Rev. D 44, 878 (1991)

    Article  ADS  Google Scholar 

  17. Mustafa, M.G., Ansari, A.: Z. Phys. C 57, 51–57 (1993)

    Article  ADS  Google Scholar 

  18. Madsen, J.: Rev. Phys. D 50, 3328 (1994)

    Article  Google Scholar 

  19. Neergaard, G., Madsen, J.: Phys. Rev. D 60, 054011 (1999)

    Article  ADS  Google Scholar 

  20. Neergaard, G., Madsen, J.: Phys. Rev. D 62(2000), 034005

    Article  ADS  Google Scholar 

  21. Venugopalan, R., Prakash, M.: Nucl. Phys. A 546, 718 (1992)

    Article  ADS  Google Scholar 

  22. Beringer, J., et al. (Particle Data Group): Phys. Rev. D 86, 010001 (2012)

    Article  ADS  Google Scholar 

  23. Hoelbling, C., Katz, S., Krieg, S., Ratti, C., Szabo, K.: J. Phys. Conf. Ser. 336, 012019 (2011)

    Article  ADS  Google Scholar 

  24. Singh, C.P., Patra, B.K., Singh, K.K.: Phys. Lett. B 387, 680 (1996)

    Article  ADS  Google Scholar 

  25. Tiwari, S.K., Srivastava, P.K., Singh, C.P.: Phys. Rev. C 85, 014908 (2012)

    Article  ADS  Google Scholar 

  26. Mishra, M., Singh, C.P.: Phys. Rev. C 76, 024908 (2007)

    Article  ADS  Google Scholar 

  27. Singh, C.P., Srivastava, P.K., Tiwari, S.K.: Phys. Rev. D 114508, 80 (2009)

    Google Scholar 

  28. Bhaduri, P.P., Roy, V., Chaudhuri, A.K.: arxiv:1101.4728 [hep-ph] (2011)

  29. Begun, V.V., Gorenstein, M.I., Mogilevsky, O.A.: Int. J. Mod. Phys. E 20, 1805–1815 (2011) (also arXiv:1004.0953 [hep-ph])

    Article  ADS  Google Scholar 

  30. Srivastava, P.K., Tiwari, S.K., Singh, C.P.: Phys. Rev. D 82, 014023 (2010)

    Article  ADS  Google Scholar 

  31. Brau, F., Buisseret, F.: Phys. Rev. D 79, 114007 (2009)

    Article  ADS  Google Scholar 

  32. Drago, A., Gibilisco, M., Ratti, C.: Nucl. Phys. A 742, 165 (2004)

    Article  ADS  Google Scholar 

  33. Castorina, P., Mannarelli, M.: Phys. Rev. C 75, 054901 (2007)

    Article  ADS  Google Scholar 

  34. Giacosa, F.: Rev, Phys. D 83, 114002 (2011)

    Article  Google Scholar 

  35. Gliozzi, F.: J. Phys. A 40, F375 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors would like to thank R. Ramanathan and K. K. Gupta, for their useful discussions. The author D. S. Gosain is thankful to the Department of Physics and Astrophysics, University of Delhi, for providing opportunity to do research work.

Author information

Authors and Affiliations

  1. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India

    D. S. Gosain & S. Somorendro Singh

Authors
  1. D. S. Gosain
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Somorendro Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. S. Gosain.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gosain, D.S., Singh, S.S. Equation of State of Quark-Gluon Plasma Using a Simple Statistical Model. Int J Theor Phys 53, 2688–2696 (2014). https://doi.org/10.1007/s10773-014-2064-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2064-2

Keywords

Search

Navigation