Skip to main content
SpringerLink
Log in

Superstatistics with different kinds of distributions in the deformed formalism

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In this article, after first introducing superstatistics, the effective Boltzmann factor in a deformed formalism for modified Dirac delta, uniform, two-level and Gamma distributions is derived. Then we make use of the superstatistics for four important problems in physics and the thermodynamic properties of the system are calculated. All results in the limit case are reduced to ordinary statistical mechanics. Furthermore, effects of all parameters in the problems are calculated and shown graphically.

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

Similar content being viewed by others

References

  1. M. Jimbo, Lett. Math. Phys. 11, 247 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  2. V.G. Drinfeld, in Proceedings of the International Congress of Mathematicians (Berkeley 1986), edited by A.M. Gleason (American Mathematical Society, Providence, 1987)

  3. M. Chaichian, D. Ellinas, P. Kulish, Phys. Rev. Lett. 65, 980 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  4. M. Chaichian, P. Kulish, J. Lukierski, Phys. Lett. B 237, 401 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  5. D. Bonatsos, C. Daskaloyannis, Prog. Part. Nucl. Phys. 43, 537 (1999)

    Article  ADS  Google Scholar 

  6. A.J. Macfarlane, J. Phys. A 22, 4581 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  7. P.P. Kulish, E.V. Damaskinsky, J. Phys. A 23, L415 (1990)

    Article  ADS  Google Scholar 

  8. L. Biedenharn, J. Phys. A 22, L873 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  9. S. Sargolzaeipor, H. Hassanabadi, W.S. Chung, Can. J. Phys. 96, 25 (2017)

    Article  ADS  Google Scholar 

  10. S. Sargolzaeipor, H. Hassanabadi, A. Boumali, Int. J. Geom. Methods Mod. Phys. 14, 1750112 (2017)

    Article  MathSciNet  Google Scholar 

  11. S. Sargolzaeipor, H. Hassanabadi, W.S. Chung, J. Korean Phys. Soc. 70, 557 (2017)

    Article  ADS  Google Scholar 

  12. S. Abe, Phys. Rev. E 66, 046134 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  13. S. Abe, J. Phys. A 36, 8733 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  14. C. Tsallis, A.M.C. Souza, Phys. Rev. E 67, 026106 (2003)

    Article  ADS  Google Scholar 

  15. C. Beck, E.G.D. Cohen, Physica A 322, 267 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  16. E.G.D. Cohen, Pramana 64, 635 (2005)

    Article  ADS  Google Scholar 

  17. P.H. Chavanis, Physica A 359, 177 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  18. J.P. Bouchard, M. Potters, Theory of Financial Risk and Derivative Pricing from Statistical Physics to Risk Management (Cambridge University Press, Cambridge, 2003)

  19. M. Ausloos, K. Ivanova, Phys. Rev. E 68, 046122 (2003)

    Article  ADS  Google Scholar 

  20. H. Touchette, C. Beck, Phys. Rev. E 71, 016131 (2005)

    Article  ADS  Google Scholar 

  21. S. Sargolzaeipor, H. Hassanabadi, W.S. Chung, Eur. Phys. J. Plus 133, 5 (2018)

    Article  Google Scholar 

  22. W.S. Chung, H. Sobhani, H. Hassanabadi, Eur. Phys. J. Plus 132, 398 (2017)

    Article  Google Scholar 

  23. C. Tsallis, A.M.C. Souza, Phys. Lett. A 319, 273 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  24. G. Wilk, Z.W. lodarczyk, Phys. Rev. Lett. 84, 2770 (2000)

    Article  ADS  Google Scholar 

  25. C. Tsallis, J.C. Anjos, E.P. Borges, Phys. Lett. A 310, 372 (2003)

    Article  ADS  Google Scholar 

  26. C. Tsallis, Braz. J. Phys. 29, 1 (1999)

    Article  ADS  Google Scholar 

  27. C. Beck, Continuum Mech. Thermodyn. 16, 293 (2004)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. C. Beck, E.G.D. Cohen, S. Rizzo, Europhys. News 36, 189 (2005)

    Article  ADS  Google Scholar 

  30. F. Sattin, L. Salasnich, Phys. Rev. E 65, 035106(R) (2002)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  33. S. Abe, Y. Okamoto (Editors), Nonextensive Statistical Mechanics and Its Applications (Springer, Berlin, 2001)

  34. R.K. Pathria, Statistical Mechanics, 1st edn. (Pergamon Press, Oxford, 1972)

  35. A. Boumali, H. Hassanabadi, Eur. Phys. J. Plus 128, 124 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Physics, Shahrood University of Thechnology, P. O. Box: 3619995161-316, Shahrood, Iran

    S. Sargolzaeipor & H. Hassanabadi

  2. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea

    W. S. Chung

Authors
  1. S. Sargolzaeipor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Hassanabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. S. Chung
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Sargolzaeipor.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sargolzaeipor, S., Hassanabadi, H. & Chung, W.S. Superstatistics with different kinds of distributions in the deformed formalism. Eur. Phys. J. Plus 133, 125 (2018). https://doi.org/10.1140/epjp/i2018-11962-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-11962-7

Search

Navigation