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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. B. Bowing, An axiomatic approach to classical thermodynamics, Proc. Roy. Soc. London A329 (1972), 35–70.
H. A. Buchdahl, The concepts of classical thermodynamics, Cambridge Univ. Press, Cambridge, 1966.
C. Carathtodory, Untersuchung fiber die Grundlagen der Thermodynamik, Math. Ann. 67 (1909), 355–386.
J. L. B. Coma, The foundations of thermodynamics, J. Math. Anal. Appl. 17 (1967), 172–193.
J. J. Duislermaat, Energy and entropy as real morphisme for addition and order, Synthese 18 (1968), 327–393.
R. Goes, Mathematical foundations of thermodynamics, Pergamon, Oxford, 1964.
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.
M. Planck, fiber die Begrundung des zweiten Hauptsatzes der Thermodynamik, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. ICI. (1926), 453–463.
F. S. Romans and R. D. Luce, Axiomatic thermodynamics and extensive measurement, Synthese 18 (1968), 311–326.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-662-10018-9_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06092-2
Online ISBN: 978-3-662-10018-9
eBook Packages: Springer Book Archive