Skip to main content
Log in

Nonextensive statistical effects in protoneutron stars

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

Abstract.

We investigate the bulk properties of protoneutron stars in the framework of a relativistic mean-field theory based on nonextensive statistical mechanics, characterized by power-law quantum distributions. We study the relevance of nonextensive statistical effects on the \( \beta\) -stable equation of state at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos, for nucleonic and hyperonic matter. We show that nonextensive statistical effects could play a crucial role in the structure and in the evolution of the protoneutron stars also for small deviations from the standard Boltzmann-Gibbs statistics.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Prakash, J.M. Lattimer, J.A. Pons, A.W. Steiner, S. Reddy, Lect. Notes Phys. 578, 364 (2001)

    Article  ADS  Google Scholar 

  2. M. Prakash, J.R. Cooke, J.M. Lattimer, Phys. Rev. D 52, 661 (1995)

    Article  ADS  Google Scholar 

  3. J.A. Pons, A.W. Steiner, M. Prakash, J.M. Lattimer, Phys. Rev. Lett. 86, 5223 (2001)

    Article  ADS  Google Scholar 

  4. J.A. Pons, S. Reddy, M. Prakash, J.M. Lattimer, J.A. Miralles, Astrophys. J. 513, 780 (1999)

    Article  ADS  Google Scholar 

  5. M. Prakash, I. Bombaci, M. Prakash, P.J. Ellis, J.M. Lattimer, R. Knorren, Phys. Rep. 280, 1 (1997)

    Article  ADS  Google Scholar 

  6. A. Drago, A. Lavagno, Phys. Lett. B 511, 229 (2001)

    Article  ADS  Google Scholar 

  7. Z. Berezhiani et al., Astrophys. J. 586, 1250 (2003)

    Article  ADS  Google Scholar 

  8. A. Drago, A. Lavagno, G. Pagliara, Phys. Rev. D 69, 057505 (2004)

    Article  ADS  Google Scholar 

  9. A. Drago, A. Lavagno, I. Parenti, Astrophys. J. 659, 1519 (2007)

    Article  ADS  Google Scholar 

  10. S. Schmidt et al., Phys. Rev. D 59, 094005 (1999)

    Article  ADS  Google Scholar 

  11. T.S. Biró, Phys. Rev. Lett. 79, 3138 (1997)

    Article  ADS  Google Scholar 

  12. T.S. Biró, J. Phys. G: Nucl. Part. Phys. 35, 044056 (2008)

    Article  ADS  Google Scholar 

  13. C. Tsallis, J. Stat. Phys. 52, 479 (1988)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. C. Tsallis, R.S. Mendes, A.R. Plastino, Physica A 261, 534 (1998)

    Article  Google Scholar 

  15. M. Gell-Mann, C. Tsallis, Nonextensive Entropy: Interdisciplinary Applications (New York, Oxford University Press, 2004)

  16. C. Tsallis, Introduction to Nonextensive Statistical Mechanics (New York, Springer-Verlag, 2009)

  17. T. Kodama, H.-T. Elze, C.E. Aiguiar, T. Koide, Europhys. Lett. 70, 439 (2005)

    Article  ADS  Google Scholar 

  18. H.-T. Elze, T. Kodama, Phys. Lett. A 335, 363 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. T. Kodama, T. Koide, Eur. Phys. J. A 40, 289 (2009)

    Article  ADS  Google Scholar 

  20. I. Bediaga, E.M.F. Curado, J.M. de Miranda, Physica A 286, 156 (2000)

    Article  ADS  Google Scholar 

  21. W.M. Alberico, A. Lavagno, P. Quarati, Eur. Phys. J. C 12, 499 (2000)

    Article  ADS  Google Scholar 

  22. A. Lavagno, A.M. Scarfone, P.N. Swamy, J. Phys. A 40, 8635 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. C. Beck, Physica A 286, 164 (2000)

    Article  ADS  Google Scholar 

  24. C. Beck, Eur. Phys. J. A 40, 267 (2009)

    Article  ADS  Google Scholar 

  25. G. Wilk, Z. Włodarczyk, Phys. Rev. Lett. 84, 2770 (2000)

    Article  ADS  Google Scholar 

  26. G. Wilk, Z. Włodarczyk, Eur. Phys. J. A 40, 299 (2009)

    Article  ADS  Google Scholar 

  27. A. Lavagno, P. Quarati, Phys. Lett. B 498, 47 (2001)

    Article  ADS  Google Scholar 

  28. A. Lavagno, P. Quarati, Nucl. Phys. B, Proc. Suppl. 87, 209 (2000)

    Article  ADS  Google Scholar 

  29. F. Ferro, A. Lavagno, P. Quarati, Eur. Phys. A 21, 529 (2004)

    Article  ADS  Google Scholar 

  30. T.S. Biró, Phys. Rev. Lett. 95, 162302 (2005)

    Article  ADS  Google Scholar 

  31. T.S. Biró, Eur. Phys. J. A 40, 325 (2009)

    Article  ADS  Google Scholar 

  32. A. Lavagno, Physica A 305, 238 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  33. A. Lavagno, Phys. Lett. A 301, 13 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  34. W.M. Alberico, P. Czerski, A. Lavagno, M. Nardi, V. Somá, Physica A 387, 467 (2008)

    Article  ADS  Google Scholar 

  35. J. Cleymans, G. Hamar, P. Levai, S. Wheaton, J. Phys. G: Nucl. Part. Phys. 36, 064018 (2009)

    Article  ADS  Google Scholar 

  36. J. Cleymans, J. Phys. G: Nucl. Part. Phys. 37, 094015 (2010)

    Article  ADS  Google Scholar 

  37. S.J. Landau, M.E. Mosquera, H. Vucetich, Astrophys. J. 637, 38 (2006)

    Article  ADS  Google Scholar 

  38. P. Quarati, A.M. Scarfone, Astrophys. J. 666, 1303 (2007)

    Article  ADS  Google Scholar 

  39. J.C. Carvalho, J.D. do Nascimento, R. Silva, J.R. Medeiros, Astrophys. J. 696, L48 (2009)

    Article  ADS  Google Scholar 

  40. G. Livadiotis, D.J. McComas, Astrophys. J. 714, 971 (2010)

    Article  ADS  Google Scholar 

  41. M.P. Leubner, Astrophys. J. 632, L1 (2005)

    Article  ADS  Google Scholar 

  42. F.I.M. Pereira, R. Silva, J.S. Alcaniz, Phys. Rev. C 76, 015201 (2007)

    Article  ADS  Google Scholar 

  43. F.I.M. Pereira, R. Silva, J.S. Alcaniz, Phys. Lett. A 373, 4214 (2009)

    Article  ADS  Google Scholar 

  44. A. Lavagno, D. Pigato, P. Quarati, J. Phys. G: Nucl. Part. Phys. 37, 115102 (2010)

    Article  ADS  Google Scholar 

  45. W.M. Alberico, A. Lavagno, Eur. Phys. J. A 40, 313 (2009)

    Article  ADS  Google Scholar 

  46. A. Burrows, T.J. Mazurek, J.M. Lattimer, Astrophys. J. 251, 325 (1981)

    Article  ADS  Google Scholar 

  47. O.G. Benvenuto, G. Lugones, Mon. Not. R. Astron. Soc. 304, L25 (1999)

    Article  ADS  Google Scholar 

  48. A.M. Tewelderberhan, A.R. Plastino, H.C. Miller, Phys. Lett. A 343, 71 (2005)

    Article  ADS  Google Scholar 

  49. J. Rozynek, G. Wilck, J. Phys. G: Nucl. Part. Phys. 36, 125108 (2009)

    Article  ADS  Google Scholar 

  50. J.D. Walecka, Ann. Phys. (N.Y.) 83, 491 (1994)

    Article  ADS  Google Scholar 

  51. J. Boguta, A.R. Bodmer, Nucl. Phys. A 292, 413 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  52. N.K. Glendenning, S.A. Moszkowski, Phys. Rev. Lett. 67, 2414 (1991)

    Article  ADS  Google Scholar 

  53. M. Di Toro et al., Nucl. Phys. A 775, 102 (2006)

    Article  ADS  Google Scholar 

  54. L. Bonanno, A. Drago, A. Lavagno, Phys. Rev. Lett. 99, 242301 (2007)

    Article  ADS  Google Scholar 

  55. A. Drago, A. Lavagno, G. Pagliara, Phys. Rev. D 69, 057505 (2004)

    Article  ADS  Google Scholar 

  56. A. Lavagno, Phys. Rev. C 81, 044909 (2010)

    Article  ADS  Google Scholar 

  57. A. Steiner, M. Prakash, J.M. Lattimer, Phys. Lett. B 486, 239 (2000)

    Article  ADS  Google Scholar 

  58. T. Fischer, S.C. Whitehouse, A. Mezzacappa, F.-K. Thielemann, M. Liebendörfer, Astron. Astrophys. 499, 1 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Lavagno.

Additional information

Communicated by T. Biró

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lavagno, A., Pigato, D. Nonextensive statistical effects in protoneutron stars. Eur. Phys. J. A 47, 52 (2011). https://doi.org/10.1140/epja/i2011-11052-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2011-11052-1

Keywords

Navigation