Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification–
Meixner’s historical remark in 1969 “... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined....” is investigated from today’s insight. Several statements—such...
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Format: | Article |
Language: | English |
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MDPI AG
2018-09-01
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Series: | Entropy |
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Online Access: | http://www.mdpi.com/1099-4300/20/10/740 |
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author | Wolfgang Muschik |
author_facet | Wolfgang Muschik |
author_sort | Wolfgang Muschik |
collection | DOAJ |
description | Meixner’s historical remark in 1969 “... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined....” is investigated from today’s insight. Several statements—such as the three laws of phenomenological thermodynamics, the embedding theorem and the adiabatical uniqueness—are used to get rid of non-equilibrium entropy as a primitive concept. In this framework, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment. |
first_indexed | 2024-04-11T22:07:08Z |
format | Article |
id | doaj.art-74b323a719f446949284e5ee186f98f7 |
institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-04-11T22:07:08Z |
publishDate | 2018-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj.art-74b323a719f446949284e5ee186f98f72022-12-22T04:00:39ZengMDPI AGEntropy1099-43002018-09-01201074010.3390/e20100740e20100740Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification–Wolfgang Muschik0Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, GermanyMeixner’s historical remark in 1969 “... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined....” is investigated from today’s insight. Several statements—such as the three laws of phenomenological thermodynamics, the embedding theorem and the adiabatical uniqueness—are used to get rid of non-equilibrium entropy as a primitive concept. In this framework, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment.http://www.mdpi.com/1099-4300/20/10/740non-equilibrium entropyschottky systemsinert partitionsecond lawcontact temperatureentropy-free thermodynamicsdefining inequalitiesadiabatical uniquenessclausius inequality of open systems |
spellingShingle | Wolfgang Muschik Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– Entropy non-equilibrium entropy schottky systems inert partition second law contact temperature entropy-free thermodynamics defining inequalities adiabatical uniqueness clausius inequality of open systems |
title | Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– |
title_full | Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– |
title_fullStr | Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– |
title_full_unstemmed | Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– |
title_short | Second Law and Non-Equilibrium Entropy of Schottky Systems—Doubts and Verification– |
title_sort | second law and non equilibrium entropy of schottky systems doubts and verification |
topic | non-equilibrium entropy schottky systems inert partition second law contact temperature entropy-free thermodynamics defining inequalities adiabatical uniqueness clausius inequality of open systems |
url | http://www.mdpi.com/1099-4300/20/10/740 |
work_keys_str_mv | AT wolfgangmuschik secondlawandnonequilibriumentropyofschottkysystemsdoubtsandverification |