Skip to main content

Recent research on the foundations of thermodynamics

Part of the Lecture Notes in Mathematics book series (LNM,volume 1174)

Keywords

  • Entropy Function
  • Fading Memory
  • Viscous Substance
  • Perpetual Motion Machine
  • Rigid Heat Conductor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

eBook
USD   19.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   29.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1896 Mach, E.: Die Prinzipien der Wärmelehre, Historisch-kritisch entwickelt. Leipzig, Barth.

    Google Scholar 

  2. 1963 Coleman, B. D., & V. J. Mizel: Thermodynamics and departures from Fourier's law of heat conduction. Arch. Rational Mech. Anal. 13, 245–261.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Coleman, B. D., & W. Noll: The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167–178.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. 1964 Coleman, B. D.: Thermodynamics of materials with memory, Arch. Rational Mech. Anal. 17, 1–46.

    MathSciNet  Google Scholar 

  5. Coleman, B. D.: Thermodynamics, strain impulses, and viscoelasticity. Arch. Rational Mech. Anal. 17, 230–254.

    MathSciNet  MATH  Google Scholar 

  6. Coleman, B. D., & V. J. Mizel: Existence of caloric equations of states in thermodynamics. J. Chem. Phys. 40, 1116–1125.

    CrossRef  MathSciNet  Google Scholar 

  7. 1967 Coleman, B. D., & M. E. Gurtin: Equipresence and constitutive equations for rigid heat conductors. Z.A.M.P. 18, 199–208.

    CrossRef  MathSciNet  Google Scholar 

  8. Coleman, B. D., & M. E. Gurtin: Thermodynamics with internal state variables. J. Chem. Phys. 47, 597–613.

    CrossRef  Google Scholar 

  9. 1972 Boyling, J. B.: An axiomatic approach to classical thermodynamics. Proc. R. Soc. London A 329, 35–70.

    CrossRef  MathSciNet  Google Scholar 

  10. Day, W. A.: The Thermodynamics of Simple Materials with Fading Memory. Springer Tracts in Natural Philosophy, Vol. 22, Berlin, etc.: Springer.

    Google Scholar 

  11. Noll, W.: A new mathematical theory of simple materials. Arch. Rational Mech. Anal. 48, 10–50.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. 1974 Coleman, B. D., & D. R. Owen: A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal. 54, 1–104.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. 1975 Coleman, B. D., & D. R. Owen: On thermodynamics and elasticplastic materials. Arch. Rational Mech. Anal. 59, 25–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. 1976 Coleman, B. D., & D. R. Owen On thermodynamics and intrinsically equilibrated materials. Annali Mat. pura applicata (IV) 108, 189–199.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Coleman, B. D., & D. R. Owen: Thermodynamics of elasticplastic materials. Rend. Accad. Naz. Lincei (VIII) Classe di Scienze, fis. mat. nat. 61, 77–81.

    MathSciNet  Google Scholar 

  16. 1977 Truesdell, C., & S. Bharatha: The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines, Rigorously Developed upon the Foundation Laid by S. Carnot and R. Reech, New York, etc.: Springer.

    Google Scholar 

  17. 1979 Coleman, B. D., & D. R. Owen: On the thermodynamics of elastic-plastic materials with temperature-dependent moduli and yield stresses. Arch. Rational Mech. Anal. 70, 339–354.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Serrin, J.: Lectures on Thermodynamics, University of Naples.

    Google Scholar 

  19. Serrin, J.: Conceptual analysis of the classical second laws of thermodynamics. Arch. Rational Mech. Anal. 70, 355–371.

    CrossRef  MathSciNet  Google Scholar 

  20. Truesdell, C.: Absolute temperature as a consequence of Carnot's General Axiom. Arch. History Exact Sci. 20, 357–380.

    CrossRef  MathSciNet  Google Scholar 

  21. 1980 Šilhavý, M.: On measures, convex cones, and foundations of thermodynamics; I. Systems with vector-valued actions; II. Thermodynamic Systems. Czech. J. Phys. B 30, 841–861, 961–991.

    Google Scholar 

  22. Truesdell, C.: The Tragicomical History of Thermodynamics 1822–1854, New York, etc.: Springer.

    CrossRef  MATH  Google Scholar 

  23. 1981 Coleman, B. D., D. R. Owen, & J. Serrin: The second law of thermodynamics for systems with approximate cycles, Arch. Rational Mech. Anal. 77, 103–142.

    CrossRef  MathSciNet  MATH  Google Scholar 

  24. 1982 Feinberg, M., & R. Lavine: Thermodynamics based on the Hahn-Banach Theorem: the Clausius inequality, Arch. Rational Mech. Anal., 82, 202–293.

    MathSciNet  MATH  Google Scholar 

  25. Owen, D. R.: The second law of thermodynamics for semisystems with few approximate cycles, Arch. Rational Mech. Anal. 80, 39–55.

    CrossRef  MathSciNet  MATH  Google Scholar 

  26. Silhavy, M.: On the Clausius inequality, Arch. Rational Mech. Anal., 81, 221–243.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Coleman, B.D., Owen, D.R. (1986). Recent research on the foundations of thermodynamics. In: Categories in Continuum Physics. Lecture Notes in Mathematics, vol 1174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076936

Download citation

  • DOI: https://doi.org/10.1007/BFb0076936

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16096-0

  • Online ISBN: 978-3-540-39760-1

  • eBook Packages: Springer Book Archive