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The entropy concept for non-equilibrium states

by Elliott H. Lieb, Jakob Yngvason
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Article Recent Progress in the Definition of Thermodynamic Entropy

by Enzo Zanchini, Gian Paolo Beretta , 2014
"... www.mdpi.com/journal/entropy ..."
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... claimed to holdsnecessarily for all systems and states and as such determine the domain of validity of the definitions ofsenergy and of entropy derived from them. In agreement with Lieb and Yngvason =-=[11,16,17]-=-, thesstatement that any two states of a closed system can be the end states of a weight process (i.e., thescomparison hypothesis) is not considered as having necessarily a general validity; this stat...

Entropy Meters and the Entropy of Non-extensive Systems

by Elliott H. Lieb, Jakob Yngvason , 2014
"... In our derivation of the second law of thermodynamics from the relation of adi-abatic accessibility of equilibrium states we stressed the importance of being able to scale a system’s size without changing its intrinsic properties. This leaves open the question of defining the entropy of macroscopic, ..."
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In our derivation of the second law of thermodynamics from the relation of adi-abatic accessibility of equilibrium states we stressed the importance of being able to scale a system’s size without changing its intrinsic properties. This leaves open the question of defining the entropy of macroscopic, but unscalable systems, such as grav-itating bodies or systems where surface effects are important. We show here how the problem can be overcome, in principle, with the aid of an ‘entropy meter’. An entropy meter can also be used to determine entropy functions for non-equilibrium states and mesoscopic systems. 1
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...ciple, with the aid of an ‘entropy meter’. An entropy meter can also be used to determine entropy functions for non-equilibrium states and mesoscopic systems. 1 Introduction In our previous work [10]–=-=[14]-=- (see also [15]) we showed how to define the entropy of ‘normal systems’ in equilibrium that are scalable, and showed that this entropy is essentially unique. It was derived without introducing the co...

On Equivalence of Nonequilibrium Thermodynamic and Statistical Entropies

by Purushottam D. Gujrati - ENTROPY , 2015
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...Derrida, Lebowitz, and Speer [26, 27], the proposal of the additivity principle by Bodineau and Derrida [28], and the recent interesting proposal based on adiabatic accessibility by Lieb and Yngvason =-=[29]-=-. As for closely related approaches based on “fluctuation theorems” see, e.g., the recent review [30]. In the present paper, which is the first mathematical paper in our series of works on SST, we tre...

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