Remarks on Riemannian Thermodynamics
Luigi G. Napolitano; Carlo Albanese
- Volume: 3, Issue: 1, page 45-50
- ISSN: 1120-6330
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topNapolitano, Luigi G., and Albanese, Carlo. "Remarks on Riemannian Thermodynamics." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.1 (1992): 45-50. <http://eudml.org/doc/244161>.
@article{Napolitano1992,
abstract = {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.},
author = {Napolitano, Luigi G., Albanese, Carlo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Thermodynamics; Riemannian geometry; Hypersonics; hypersonics; macroscopic thermodynamics; equilibrium states},
language = {eng},
month = {3},
number = {1},
pages = {45-50},
publisher = {Accademia Nazionale dei Lincei},
title = {Remarks on Riemannian Thermodynamics},
url = {http://eudml.org/doc/244161},
volume = {3},
year = {1992},
}
TY - JOUR
AU - Napolitano, Luigi G.
AU - Albanese, Carlo
TI - Remarks on Riemannian Thermodynamics
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/3//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 1
SP - 45
EP - 50
AB - 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.
LA - eng
KW - Thermodynamics; Riemannian geometry; Hypersonics; hypersonics; macroscopic thermodynamics; equilibrium states
UR - http://eudml.org/doc/244161
ER -
References
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- WEINHOLD, F., The geometry of thermodynamics. Phys. Today, vol. 29, 1976, 29-34.
- WEINHOLD, F., Metric geometry of equilibrium thermodynamics. J. Chem. Phys., vol. 63, fasc. 6, 1975, 2479-2483. MR378597
- RUPPEINER, G., Thermodynamics: a riemannian geometric model. Phys. Rev., A, vol. 20, fasc. 4, 1979, 1608-1613.
- GILMORE, R., Length and curvature in the geometry of thermodynamics. Phys. Rev., A, vol. 30, fasc. 4, 1984, 1994-1997. MR762409DOI10.1103/PhysRevA.30.1994
- NAPOLITANO, L. G., Thermodynamique des Systems Composites. Paris1971.
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