Next Article in Journal
Increasing the Discriminatory Power of DEA Using Shannon’s Entropy
Next Article in Special Issue
Contact Geometry of Mesoscopic Thermodynamics and Dynamics
Previous Article in Journal
Heat and Gravitation: The Action Principle
Previous Article in Special Issue
Non-Equilibrium Liouville and Wigner Equations: Moment Methods and Long-Time Approximations
Article Menu

Export Article

Open AccessArticle
Entropy 2014, 16(3), 1547-1570; doi:10.3390/e16031547

Recent Progress in the Definition of Thermodynamic Entropy

1
Department of Industrial Engineering, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
2
Department of Mechanical and Industrial Engineering, University of Brescia, Via Branze 38, 25123 Brescia, Italy
*
Author to whom correspondence should be addressed.
Received: 2 January 2014 / Revised: 17 February 2014 / Accepted: 12 March 2014 / Published: 19 March 2014
(This article belongs to the Special Issue Advances in Methods and Foundations of Non-Equilibrium Thermodynamics)
View Full-Text   |   Download PDF [293 KB, uploaded 24 February 2015]   |  

Abstract

The principal methods for the definition of thermodynamic entropy are discussed with special reference to those developed by Carathéodory, the Keenan School, Lieb and Yngvason, and the present authors. An improvement of the latter method is then presented. Seven basic axioms are employed: three Postulates, which are considered as having a quite general validity, and four Assumptions, which identify the domains of validity of the definitions of energy (Assumption 1) and entropy (Assumptions 2, 3, 4). The domain of validity of the present definition of entropy is not restricted to stable equilibrium states. For collections of simple systems, it coincides with that of the proof of existence and uniqueness of an entropy function which characterizes the relation of adiabatic accessibility proposed by Lieb and Yngvason. However, our treatment does not require the formation of scaled copies so that it applies not only to collections of simple systems, but also to systems contained in electric or magnetic fields and to small and few-particle systems. View Full-Text
Keywords: entropy; operational definition; nonequilibrium states; non-simple systems entropy; operational definition; nonequilibrium states; non-simple systems
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Zanchini, E.; Beretta, G.P. Recent Progress in the Definition of Thermodynamic Entropy. Entropy 2014, 16, 1547-1570.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top