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A Guide to Entropy and the Second Law of Thermodynamics

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Statistical Mechanics

Abstract

This article is intended for readers who, like us, were told that the second law of thermodynamics is one of the major achievements of the nineteenth cenwry—that it is a logical, perfect, and unbreakable law—but who were unsatisfied with the “derivations” of the entropy principle as found in textbooks and in popular writings.

Work partially supported by US. National Science Foundation grant PHY95-13072A01.

Work partially supported by the Adalsteinn Kristjansson Foundation, University of Icelan.

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References

  1. J. B. Bowing, An axiomatic approach to classical thermodynamics, Proc. Roy. Soc. London A329 (1972), 35–70.

    Article  ADS  Google Scholar 

  2. H. A. Buchdahl, The concepts of classical thermodynamics, Cambridge Univ. Press, Cambridge, 1966.

    Google Scholar 

  3. C. Carathtodory, Untersuchung fiber die Grundlagen der Thermodynamik, Math. Ann. 67 (1909), 355–386.

    Article  MathSciNet  Google Scholar 

  4. J. L. B. Coma, The foundations of thermodynamics, J. Math. Anal. Appl. 17 (1967), 172–193.

    Article  MathSciNet  Google Scholar 

  5. J. J. Duislermaat, Energy and entropy as real morphisme for addition and order, Synthese 18 (1968), 327–393.

    Article  Google Scholar 

  6. R. Goes, Mathematical foundations of thermodynamics, Pergamon, Oxford, 1964.

    Google Scholar 

  7. E. It Lim and J. Yngvason, The physics and mathematics of the second law of thermodynamics,preprint, 1997; Phys. Rep. (to appear); Austin Math. Phys. arch. 97–457; Los Alamos arch. condmat/9708200.

    Google Scholar 

  8. M. Planck, fiber die Begrundung des zweiten Hauptsatzes der Thermodynamik, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. ICI. (1926), 453–463.

    Google Scholar 

  9. F. S. Romans and R. D. Luce, Axiomatic thermodynamics and extensive measurement, Synthese 18 (1968), 311–326.

    Article  Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Lieb, E.H., Yngvason, J. (1998). A Guide to Entropy and the Second Law of Thermodynamics. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Statistical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10018-9_19

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  • DOI: https://doi.org/10.1007/978-3-662-10018-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06092-2

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