Advertisement

Violation of Wiedemann-Franz Law for hot hadronic matter created at NICA, FAIR and RHIC energies using non-extensive statistics

  • Rutuparna Rath
  • Sushanta Tripathy
  • Bhaswar Chatterjee
  • Raghunath SahooEmail author
  • Swatantra Kumar Tiwari
  • Abhishek Nath
Regular Article - Theoretical Physics
  • 23 Downloads

Abstract.

We present here the computation of electrical and thermal conductivity by solving the Boltzmann transport equation in relaxation time approximation. We use the q -generalized Boltzmann distribution function to incorporate the effects of non-extensivity. The behaviour of these quantities with changing temperature and baryochemical potential has been studied as the system slowly moves towards thermodynamic equilibrium. We have estimated the Lorenz number at NICA, FAIR and the top RHIC energies and studied as a function of temperature, baryochemical potential and the non-extensive parameter, q . We have observed that Wiedemann-Franz law is violated for a non-extensive hadronic phase as well as for an equilibrated hadron gas at high temperatures.

References

  1. 1.
    P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005)ADSCrossRefGoogle Scholar
  2. 2.
    L.P. Csernai, J.I. Kapusta, L.D. McLerran, Phys. Rev. Lett. 97, 152303 (2006)ADSCrossRefGoogle Scholar
  3. 3.
    M. Gyulassy, L. McLerran, Nucl. Phys. A 750, 30 (2005)ADSCrossRefGoogle Scholar
  4. 4.
    D.E. Kharzeev, L.D. McLerran, H.J. Warringa, Nucl. Phys. A 803, 227 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    K. Tuchin, Adv. High Energy Phys. 2013, 490495 (2013)MathSciNetCrossRefGoogle Scholar
  6. 6.
    K. Fukushima, D.E. Kharzeev, H.J. Warringa, Phys. Rev. D 78, 074033 (2008)ADSCrossRefGoogle Scholar
  7. 7.
    M. Greif, I. Bouras, C. Greiner, Z. Xu, Phys. Rev. D 90, 094014 (2014)ADSCrossRefGoogle Scholar
  8. 8.
    S.I. Finazzo, J. Noronha, Phys. Rev. D 89, 106008 (2014)ADSCrossRefGoogle Scholar
  9. 9.
    W. Cassing, O. Linnyk, T. Steinert, V. Ozvenchuk, Phys. Rev. Lett. 110, 182301 (2013)ADSCrossRefGoogle Scholar
  10. 10.
    S.x. Qin, Phys. Lett. B 742, 358 (2015)ADSCrossRefGoogle Scholar
  11. 11.
    S. Mitra, S. Sarkar, Phys. Rev. D 89, 054013 (2014)ADSCrossRefGoogle Scholar
  12. 12.
    G.P. Kadam, H. Mishra, L. Thakur, Phys. Rev. D 98, 114001 (2018)ADSCrossRefGoogle Scholar
  13. 13.
    STAR Collaboration (B.I. Abelev et al.), Phys. Rev. C 75, 064901 (2007)Google Scholar
  14. 14.
    PHENIX Collaboration (A. Adare et al.), Phys. Rev. C 83, 064903 (2011)CrossRefGoogle Scholar
  15. 15.
    ALICE Collaboration (K. Aamodt et al.), Eur. Phys. J. C 71, 1655 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    ALICE Collaboration (B. Abelev et al.), Phys. Lett. B 717, 162 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    ALICE Collaboration (B. Abelev et al.), Phys. Lett. B 712, 309 (2012)ADSCrossRefGoogle Scholar
  18. 18.
    G. Wilk, Z. Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000)ADSCrossRefGoogle Scholar
  19. 19.
    C. Tsallis, J. Stat. Phys. 52, 479 (1988)ADSCrossRefGoogle Scholar
  20. 20.
    C. Tsallis, Braz. J. Phys. 29, 1 (1999)ADSCrossRefGoogle Scholar
  21. 21.
    D. Thakur, S. Tripathy, P. Garg, R. Sahoo, J. Cleymans, Adv. High Energy Phys. 2016, 4149352 (2016) and references thereinCrossRefGoogle Scholar
  22. 22.
    P. Sett, P. Shukla, Int. J. Mod. Phys. E 24, 1550046 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    T. Bhattacharyya, J. Cleymans, A. Khuntia, P. Pareek, R. Sahoo, Eur. Phys. J. A 52, 30 (2016)ADSCrossRefGoogle Scholar
  24. 24.
    H. Zheng, L. Zhu, Adv. High Energy Phys. 2015, 180491 (2015)CrossRefGoogle Scholar
  25. 25.
    Z. Tang, Y. Xu, L. Ruan, G. van Buren, F. Wang, Z. Xu, Phys. Rev. C 79, 051901 (2009)ADSCrossRefGoogle Scholar
  26. 26.
    B. De, Eur. Phys. J. A 50, 138 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    S. Tripathy, S.K. Tiwari, M. Younus, R. Sahoo, Eur. Phys. J. A 54, 38 (2018)ADSCrossRefGoogle Scholar
  28. 28.
    S. Tripathy, T. Bhattacharyya, P. Garg, P. Kumar, R. Sahoo, J. Cleymans, Eur. Phys. J. A 52, 289 (2016)ADSCrossRefGoogle Scholar
  29. 29.
    S. Tripathy, A. Khuntia, S.K. Tiwari, R. Sahoo, Eur. Phys. J. A 53, 99 (2017)ADSCrossRefGoogle Scholar
  30. 30.
    S.K. Tiwari, S. Tripathy, R. Sahoo, N. Kakati, Eur. Phys. J. C 78, 938 (2018)ADSCrossRefGoogle Scholar
  31. 31.
    G.P. Kadam, H. Mishra, Phys. Rev. C 92, 035203 (2015)ADSCrossRefGoogle Scholar
  32. 32.
    A. Hosoya, K. Kajantie, Nucl. Phys. B 250, 666 (1985)ADSCrossRefGoogle Scholar
  33. 33.
    J.R. Bezerra, R. Silva, J.A.S. Lima, Physica A 322, 256 (2003)ADSMathSciNetCrossRefGoogle Scholar
  34. 34.
    S. Gavin, Nucl. Phys. A 435, 826 (1985)ADSCrossRefGoogle Scholar
  35. 35.
    O. Moroz, Ukr. J. Phys. 58, 1127 (2013)CrossRefGoogle Scholar
  36. 36.
    J. Cleymans, D. Worku, Eur. Phys. J. A 48, 160 (2012)ADSCrossRefGoogle Scholar
  37. 37.
    A. Khuntia, P. Sahoo, P. Garg, R. Sahoo, J. Cleymans, Eur. Phys. J. A 52, 292 (2016)ADSCrossRefGoogle Scholar
  38. 38.
    N.A. Tawfik, L.I. Abou-Salem, A.G. Shalaby, M. Hanafy, A. Sorin, O. Rogachevsky, W. Scheinast, Eur. Phys. J. A 52, 324 (2016)ADSCrossRefGoogle Scholar
  39. 39.
    P. Braun-Munzinger, D. Magestro, K. Redlich, J. Stachel, Phys. Lett. B 518, 41 (2001)ADSCrossRefGoogle Scholar
  40. 40.
    J. Cleymans, H. Oeschler, K. Redlich, S. Wheaton, Phys. Rev. C 73, 034905 (2006)ADSCrossRefGoogle Scholar
  41. 41.
    A. Khuntia, S.K. Tiwari, P. Sharma, R. Sahoo, T.K. Nayak, Phys. Rev. C 100, 014910 (2019)Google Scholar
  42. 42.
    S. Gupta, Phys. Lett. B 597, 57 (2004)ADSCrossRefGoogle Scholar
  43. 43.
    S. Caron-Huot, P. Kovtun, G.D. Moore, A. Starinets, L.G. Yaffe, JHEP 12, 015 (2006)ADSCrossRefGoogle Scholar
  44. 44.
    M. Greif, C. Greiner, G.S. Denicol, Phys. Rev. D 93, 096012 (2016) 96ADSCrossRefGoogle Scholar
  45. 45.
    A. Harutyunyan, D.H. Rischke, A. Sedrakian, Phys. Rev. D 95, 114021 (2017)ADSCrossRefGoogle Scholar
  46. 46.
    S. Mitra, V. Chandra, Phys. Rev. D 96, 094003 (2017)ADSCrossRefGoogle Scholar
  47. 47.
    S. Rath, B.K. Patra, Phys. Rev. D 100, 016009 (2019)CrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Rutuparna Rath
    • 1
  • Sushanta Tripathy
    • 1
  • Bhaswar Chatterjee
    • 1
  • Raghunath Sahoo
    • 1
    Email author
  • Swatantra Kumar Tiwari
    • 2
  • Abhishek Nath
    • 3
  1. 1.Discipline of Physics, School of Basic SciencesIndian Institute of Technology IndoreSimrolIndia
  2. 2.Department of Applied Science and HumanitiesMuzaffarpur Institute of TechnologyMuzaffarpurIndia
  3. 3.Department of Physical SciencesIndian Institute of Science Education and ResearchKolkataIndia

Personalised recommendations