Abstract
If the laws of thermodynamics are stated without reference to the concepts of energy and entropy, the problem of deriving sufficiently general existence and uniqueness theorems for these functions naturally becomes one of central importance in the theory. With few exceptions (for example [6.1]), when the content of the laws is chosen for this purpose, they are phrased as prohibitions against certain types of (possibly approximate) cycles. The difficulties encountered when trying to prove general existence and uniqueness results for energy and entropy from statements of this type are by now reasonably well known and understood.
This is a preview of subscription content, log in via an institution to check access.
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
D. Owen: The second law of thermodynamics for semi-systems with few approximate cycles. Arch. Ration. Mech. Anal. 80, 39–55 (1982)
B. Coleman, D. Owen, J. Serrin: The second law of thermodynamics for systems with approxi-mate cycles. Arch. Ration. Mech. Anal. 77, 103–142 (1981)
M. Feinberg, R. Lavine: Thermodynamics based on the Hahn-Banach theorem: the Clausius in-equality. Arch. Ration. Mech. Anal. 82, 203–293 (1983)
M. Silhavy: 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 (1980)
J. Serrin: An outline of thermodynamic structure. This volume
M. Ricou: “Energy, Entropy and the Laws of Thermodynamics”, Ph.D. Thesis, University of Minnesota (1983)
M. Ricou, J. Serrin: A general second law of thermodynamics (to appear)
J. Serrin: Lectures on Thermodynamics. University of Naples (1979)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ricou, M. (1986). The Laws of Thermodynamics for Non-Cyclic Processes. In: Serrin, J. (eds) New Perspectives in Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70803-9_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-70803-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15931-5
Online ISBN: 978-3-642-70803-9
eBook Packages: Springer Book Archive