Skip to main content
SpringerLink
Log in

On thermodynamic equilibrium of nonextensive systems

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The law of energy composition is defined, and the thermodynamic equilibrium condition of nonextensive systems described by the Havrda-Charvat-Daroczy entropy is considered. A statistic criterion for equilibrium stability is formulated. Equations for the equilibrium distribution and density operator are presented.

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. Nonextensive Statistical Mechanics and Its Applications, Ed. by S. Abe and Y. Okamoto, Series Lecture Notes in Physics (Springer, Berlin, 2001).

  2. Nonadditive Entropy and Nonextensive Statistical Mechanics, Ed. by M. Sugiyama, in Continuum Mechanics and Thermodynamics (Springer, Heidelberg, 2004), Vol. 16, pp. 221–304.

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

    MATH  MathSciNet  Google Scholar 

  4. Z. Daroczy, Inf. Control. 16, 36 (1970).

    Article  MATH  MathSciNet  Google Scholar 

  5. R. G. Zaripov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 42 (2005).

  6. I. J. Taneja, Adv. Electron. Electron Phys. 76, 327 (1989); (http:/www.mtm.ufsc.br/:_taneja/book).

    Google Scholar 

  7. S. K. Rama, Phys. Lett. A 276, 103 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Abe, Physica A 305, 62 (2002).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Q. A. Wang, M. Pezeril, L. Nivanen, and A. L. Mehaute, Chaos, Solitons and Fractals 13, 131 (2002).

    Article  MATH  Google Scholar 

  10. M. Nauenberg, Phys. Rev. E 67, 036114 (2003).

    Google Scholar 

  11. R. G. Zaripov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 24 (2001).

  12. R. G. Zaripov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 67 (2004).

  13. R. G. Zaripov, Zh. Tekh. Fiz. 58, 2247 (1988) [Sov. Phys. Tech. Phys. 33, 1366 (1988)].

    Google Scholar 

  14. A. Ya. Khinchin, Usp. Mat. Nauk 8(3), 3 (1953).

    MATH  Google Scholar 

  15. J. Aczel and Z. Daroczy, On Measures of Information and Their Characterizations (Academic, New York, 1975).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics and Machine Building, Kasan Research Center, Russian Academy of Sciences, Kazan, 420111, Russia

    R. G. Zaripov

Authors
  1. R. G. Zaripov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © R.G. Zaripov, 2006, published in Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 76, No. 11, pp. 1–5.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zaripov, R.G. On thermodynamic equilibrium of nonextensive systems. Tech. Phys. 51, 1393–1397 (2006). https://doi.org/10.1134/S1063784206110016

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784206110016

PACS numbers

Search

Navigation