Skip to main content
SpringerLink
Log in

Changes in the Entropy and Information Difference During Self-Organization of Nonextensive Systems in Parastatistics

  • Published:
Russian Physics Journal Aims and scope

On the basis of the method of Bose quantum states in parastatistics for quantum nonextensive systems, the evolution of the parametric entropy and the information difference under induced transitions between stationary states in the space of control parameters during self-organization is considered. S and I theorems on changes in renormalized measures under the Gibbs condition on the constancy of the total energy and the total number of particles are proven.

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. R. G. Zaripov, New Measures and Methods in Information Theory [in Russian], Kazan State Technical University Press, Kazan (2005).

    Google Scholar 

  2. C. Tsallis, Introduction to Nonextensive Statistical Mechanics. Approaching a Complex World, Springer, New York (2009).

    MATH  Google Scholar 

  3. R. G. Zaripov, Principles of Non-Extensive Statistical Mechanics and The Geometry of Measures of Disorder and Order [in Russian], Kazan State Technical University Press, Kazan (2010).

    Google Scholar 

  4. J. Naudts, Generalized Thermostatistics, Springer, London (2011).

    Book  MATH  Google Scholar 

  5. J. Havrda and F. Charvat, Kybernetika, 3, 30 (1967).

    MathSciNet  Google Scholar 

  6. Z. Daroczy, Inform. Control, 16, 36 (1970).

    Article  Google Scholar 

  7. P. N. Rathie and P. L. Kannappan, Inform. Control., 20, 35 (1972).

    Article  Google Scholar 

  8. J. Feder, Fractals, Plenum Press, New York (1988).

    Book  MATH  Google Scholar 

  9. A. Renyi, Probability Theory, North-Holland Publ. Co., Amsterdam (1970).

    MATH  Google Scholar 

  10. I. J. Taneja, Adv. Electronics Electron Phys., 76, 327 (1989).

    Article  Google Scholar 

  11. F. Büyükkilic and D. Demirhan, Phys. Lett. A, 181, 24 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  12. R. G. Zaripov, Russ. Phys. J., 52, No. 4, 329 (2009).

    Article  MathSciNet  Google Scholar 

  13. R. G. Zaripov, Russ. Phys. J., 52, No. 7, 725 (2009).

    Article  MathSciNet  Google Scholar 

  14. R. G. Zaripov, Zh. Tekh. Fiz., 76, No. 11, 1 (2006).

    Google Scholar 

  15. S. Kul’bak, Information Theory and Statistics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  16. G. Gentile, Nuovo Cimento, 19, No. 4, 109 (1942).

    Article  Google Scholar 

  17. S. N. Bose, Z. Phys., 26, 178 (1924).

    Article  ADS  Google Scholar 

  18. R. G. Zaripov, Russ. Phys. J., 59, No. 12, 2059 (2016).

    Article  Google Scholar 

  19. N. Bourbaki, Elements of Mathematics: Integration, Springer, Berlin (2004).

    Book  MATH  Google Scholar 

  20. Yu. L. Klimontovich, Pis’ma Zh. Tekh. Fiz., 8, No. 23, 1412 (1983).

    Google Scholar 

  21. R. G. Zaripov, Russ. Phys. J., 30, No. 7, 588 (1987).

    Google Scholar 

  22. R. G. Zaripov, Zh. Tekh. Fiz., 58, No. 11, 2247 (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics and Engineering of the Kazan’ Science Center of the Russian Academy of Sciences, Kazan’, Russia

    R. G. Zaripov

Authors
  1. R. G. Zaripov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. G. Zaripov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 41–46, May, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zaripov, R.G. Changes in the Entropy and Information Difference During Self-Organization of Nonextensive Systems in Parastatistics. Russ Phys J 60, 789–796 (2017). https://doi.org/10.1007/s11182-017-1140-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-017-1140-5

Keywords

Search

Navigation