2018
DOI: 10.20944/preprints201808.0275.v1
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Second Law and Non-Equilibrium Entropy of Schottky Systems --Doubts and Verification--

Abstract: 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 de… Show more

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Cited by 4 publications
(8 citation statements)
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“…Consequently, is subjected to thermostatics whose validity is presupposed. The “time rate” of entropy of the reservoir is and the differentials of thermostatics are written as derivatives because of adapting the formalism to nonequilibrium in the sequel (more details in [ 40 ]). The entropy flux in ( 3 ) is a factorized decomposition into the reciprocal thermostatic temperature of and the heat exchange through its surface .…”
Section: Entropy Time Rate Of Discrete Systemsmentioning
confidence: 99%
See 1 more Smart Citation
“…Consequently, is subjected to thermostatics whose validity is presupposed. The “time rate” of entropy of the reservoir is and the differentials of thermostatics are written as derivatives because of adapting the formalism to nonequilibrium in the sequel (more details in [ 40 ]). The entropy flux in ( 3 ) is a factorized decomposition into the reciprocal thermostatic temperature of and the heat exchange through its surface .…”
Section: Entropy Time Rate Of Discrete Systemsmentioning
confidence: 99%
“…The time rate of entropy of a system in nonequilibrium has the form (more details in [ 40 ]) Here, and are the heat exchange and the external material exchange through the surface of . The thermostatic temperature in ( 3 ) as well as the equilibrium molar entropies have to be replaced by nonequilibrium quantities, contact temperature, and nonequilibrium molar entropies s , which are defined in the sequel.…”
Section: Entropy Time Rate Of Discrete Systemsmentioning
confidence: 99%
“…According to (17) 2 , the diffusion flux density is that part of the mass flux density which is perpendicular to the 4-velocity of the mixture. The diffusion flux density vanishes in 1-component systems (u…”
Section: The Diffusion Fluxmentioning
confidence: 99%
“…Following J. Meixner and J.U. Keller that entropy in non-equilibrium cannot be defined unequivocally [13,14,15,16,17], the entropy identity is only an (well set up) ansatz for constructing a non-equilibrium entropy and further corresponding quantities. This fact in mind, a specific entropy and the corresponding Gibbs and Gibbs-Duhem equations are derived.…”
Section: Introductionmentioning
confidence: 99%
“…As usual in thermodynamics, we consider a Schottky system [2,3,4], that is a discrete system in interaction with its environment exchanging heat, power and material. Here, we restrict ourselves first of all to closed discrete systems for which the material exchange is suppressed by a suitable partition between the system and its environment.…”
Section: Schottky Systemsmentioning
confidence: 99%