Geodesic
Remarks on Riemannian Thermodynamics
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 45-50

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The postulates of macroscopic thermodynamics give us the possibility to endow the set of thermodynamic states with the structure of a riemannian manifold. Two alternatives are available: the first one is to introduce on the set of thermodynamic equilibrium states a metric induced by an embedding metric space (extrinsic approach), the second one is to introduce the stability metric (intrinsic approach). Between the two choices the second one looks more promising on the basis of its capability of yielding physical informations. An open problem is however the tensoriality of the stability metric. 
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     author = {Napolitano, Luigi G. and Albanese, Carlo},
     title = {Remarks on {Riemannian} {Thermodynamics}},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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     number = {1},
     year = {1992},
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Napolitano, Luigi G.; Albanese, Carlo. Remarks on Riemannian Thermodynamics. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 1, pp. 45-50. http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_1_a5/