Some consequences of an analysis of the Kelvin-Clausius entropy formulation based on traditional axiomatics
type: Item
instance of: scholarly article
title: Some consequences of an analysis of the Kelvin-Clausius entropy formulation based on traditional axiomatics
zbMATH Open document ID: 1059.80003
author: Christopher Gunaseelan Jesudason
published in: Entropy
publication date: 2005-03-22T00:00:00Z
full work available at URL: e5030252.htm
review text: Summary: Recently, there have appeared interesting correctives or challenges [Entropy 1, No. 4, 111--117 (1999; Zbl 1002.80002)] to the Second law formulations, especially in the interpretation of the Clausius equivalent transformations, closely related in area to extensions of the Clausius principle to irreversible processes [Chem. Phys. Lett. 143, No. 1, 65--70 (1988)]. Since the traditional formulations are central to science, a brief analysis of some of these newer theories along traditional lines is attempted, based on well-attested axioms which have formed the basis of equilibrium thermodynamics. It is deduced that the Clausius analysis leading to the law of increasing entropy does not follow from the given axioms but it can be proved that for irreversible transitions, the total entropy change of the system and thermal reservoirs (the ``Universe'') is not negative, even for the case when the reservoirs are not at the same temperature as the system during heat transfer. On the basis of two new simple theorems and three corollaries derived for the correlation between irreversible and reversible pathways and the traditional axiomatics, it is shown that a sequence of reversible states can never be used to describe a corresponding sequence of irreversible states for at least closed systems, thereby restricting the principle of local equilibrium. It is further shown that some of the newer irreversible entropy forms given exhibit some paradoxical properties relative to the standard axiomatics. It is deduced that any reconciliation between the traditional approach and novel theories lie in creating a well defined set of axioms to which all theoretical developments should attempt to be based on unless proven not be useful, in which case there should be consensus in removing such axioms from theory. Clausius' theory of equivalent transformations do not contradict the traditional understanding of heat- work efficiency. It is concluded that the intuitively derived assumpt…
Mathematics Subject Classification ID: 80A05
zbMATH DE Number: 2148944
zbMATH Keywords: Kelvin-Clausius Entropy
zbMATH Keywords: Irreversibility
zbMATH Keywords: Clausius Equivalent Transformation
MaRDI profile type: Publication
OpenAlex ID: W2147750448
cites work: A revision of Clausius work on the second law. I: On the lack of inner consistency of Clausius analysis leading to the law of increasing entropy
DOI: 10.3390/E5030252
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description: scientific article; zbMATH DE number 2148944