Geodesic
Thermodynamic analysis based on the second-order variations of thermodynamic potentials
Theoretical and applied mechanics, Tome 35 (2008) no. 1-3, p. 215 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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An analysis of the Gibbs conditions of stable thermodynamic equilibrium, based on the constrained minimization of the four fundamental thermodynamic potentials, is presented with a particular attention given to the previously unexplored connections between the second-order variations of thermodynamic potentials. These connections are used to establish the convexity properties of all potentials in relation to each other, which systematically deliver thermodynamic relationships between the specific heats, and the isentropic and isothermal bulk moduli and compressibilities. The comparison with the classical derivation is then given.
DOI : 10.2298/TAM0803215L
Classification : 74A15 80A17
Keywords: Gibbs conditions, internal energy, second-order variations, specific heats, thermodynamic potentials 
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     author = {Vlado A. Lubarda},
     title = {Thermodynamic analysis based on the second-order variations of thermodynamic potentials},
     journal = {Theoretical and applied mechanics},
     pages = {215 },
     year = {2008},
     volume = {35},
     number = {1-3},
     doi = {10.2298/TAM0803215L},
     zbl = {1274.80001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM0803215L/}
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Vlado A. Lubarda. Thermodynamic analysis based on the second-order variations of thermodynamic potentials. Theoretical and applied mechanics, Tome 35 (2008) no. 1-3, p. 215 . doi: 10.2298/TAM0803215L

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