2. Distribution of entropy production in space and time
2.1 Equipartition theorem
This paragraph is devoted to proving the following general but somewhat abstract theorem, and to explaining its consequences.
Equipartition theorem
Under the linear assumptions of the thermodynamics of irreversible processes, for a specified task in a process, global entropy production is minimal when local production is uniformly distributed in time and space (i.e., equi-distributed).
In the language adopted here, "equipartition" of a quantity along a coordinate means that the local value, or density, of that quantity is constant along the coordinate.
We will now particularize this demonstration to the linear geometry...
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Distribution of entropy production in space and time
Using theorems for comparative configuration analysis
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References
- (1) - LE GOFF (P.) (coordonnateur) - Énergétique Industrielle, Tome 1 : Analyse thermodynamique et mécanique des économies d'énergie (1979) ; Tome 2 : Analyse économique et optimisation des procédés - (1980) ; Tome 3 : Applications en génie chimique : échangeurs, séparateurs, réacteurs (1982) ; Tec & Doc Lavoisier, Paris.
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