Skip to main content
SpringerLink
Log in

Mathematical consequences of Gyarmati’s principle in rational thermodynamics

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The calculus of variations can be applied in thermodynamics obtaining both local and global analysis for the thermodynamical systems. Gyarmati’s principle is demonstrated to be the mathematical fundamental of the theorem of maximum for the entropy of the open systems. This last theorem is demonstrated for a general thermodynamical transformation, and also when chemical reactions can occur.

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. Dunbar W. R., Gaggioli R. A. andLior N.,Thermodynamical reference datums for nuclear reactions, inECOS ’92, ASME (American Society of Mechanical Engineers), Zaragoza, Spain, June 15–18, 1992 (ASME, United Engineering Center, New York, N.Y.) 1992, pp. 49–59.

    Google Scholar 

  2. Oláh K.,The entropy production: new aspects, inSecond Law Analysis of Energy Systems: towards the 21st Century, Workshop, Rome, July 5–7, 1995 (Circus, Roma), 1995, pp. 165–179.

    MATH  Google Scholar 

  3. Özisik M. N.,Heat Conduction (John Wiley & Sons, New York, N.Y.) 1980.

    MATH  Google Scholar 

  4. Lavenda B. H.,Thermodynamics of Irreversible Processes (Macmillan Press, London) 1978.

    Google Scholar 

  5. Trusdell C.,Rational Thermodynamics (Springer-Verlag, Berlin) 1984.

    Book  Google Scholar 

  6. Gyarmati I.,Non-Equilibrium Thermodynamics (Springer-Verlag, Berlin) 1970.

    Book  Google Scholar 

  7. Goldstein H.,Classical Mechanics (Addison-Wesley, New York, N.Y.) 1970.

    MATH  Google Scholar 

  8. Landau L. D. andLifshitz E. M.,Mechanics (Pergamon Press, Oxford) 1986.

    Google Scholar 

  9. Eckert E. R. G. andDrake R. M.,Analysis of Heat and Mass Transfer (McGraw-Hill Book Company, New York, N.Y.) 1972.

    MATH  Google Scholar 

  10. Bejan A.,Advanced Engineering Thermodynamics (John Wiley & Sons, New York, N.Y.) 1988.

    Google Scholar 

  11. Landau L. D. andLifshitz E. M.,Statistical Physics, Part 1 (Pergamon Press, Oxford) 1980.

    Google Scholar 

  12. Sertorio L.,Thermodynamics of Complex Systems (World Scientific, London) 1991.

    Google Scholar 

  13. Callen H.,Thermodynamics (John Wiley & Sons, New York, N.Y.) 1960.

    MATH  Google Scholar 

  14. de Groot S. R. andMazur P.,Non-Equilibrium Thermodynamics (North-Holland Pubblishing Company, Amsterdam) 1962.

    Google Scholar 

  15. Glansdorff P. andPrigogine I.,Physica,30 (1964) 351.

    Article  MathSciNet  ADS  Google Scholar 

  16. Glansdorff P. andPrigogine I.,Thermodynamic Theory of Structure, Stability and Fluctuations (John Wiley & Sons, New York, N.Y.) 1971.

    MATH  Google Scholar 

  17. Harumi E.,J. Acoust. Soc. Am.,95 (1994) 2409.

    Article  Google Scholar 

  18. van Stralen S. andCole R.,Boiling Phenomena (McGraw-Hill, New York, N.Y.) 1979.

    MATH  Google Scholar 

Download references

Author information

Author notes

  1. U. Lucia

    Present address: , via S. G. Bosco, 43, I-15100, Alessandria, Italy

Authors and Affiliations

  1. Dipartimento di Energetica, I-50139, Firenze, Italy

    U. Lucia

Authors
  1. U. Lucia
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lucia, U. Mathematical consequences of Gyarmati’s principle in rational thermodynamics. Nuov Cim B 110, 1227–1235 (1995). https://doi.org/10.1007/BF02724612

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02724612

Keywords

Search

Navigation