Two-Dimensional Einstein Manifolds in Geometrothermodynamics
Joint Authors
Nettel, Francisco
López-Monsalvo, Cesar S.
Gutiérrez-Piñeres, Antonio C.
Source
Advances in High Energy Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components.
In particular, for systems constrained by the vanishing of the Hessian curvature we write down the systems of partial differential equations.
In such a case it is possible to find a subset of solutions lying on a circumference in an abstract space constructed from the first derivatives of the isothermal coordinates.
We conjecture that solutions on the characteristic circumference are of physical relevance, separating them from those of pure mathematical interest.
We present the case of a one-parameter family of fundamental relations that—when lying in the circumference—describe a polytropic fluid.
American Psychological Association (APA)
Gutiérrez-Piñeres, Antonio C.& López-Monsalvo, Cesar S.& Nettel, Francisco. 2013. Two-Dimensional Einstein Manifolds in Geometrothermodynamics. Advances in High Energy Physics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-512146
Modern Language Association (MLA)
Gutiérrez-Piñeres, Antonio C.…[et al.]. Two-Dimensional Einstein Manifolds in Geometrothermodynamics. Advances in High Energy Physics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-512146
American Medical Association (AMA)
Gutiérrez-Piñeres, Antonio C.& López-Monsalvo, Cesar S.& Nettel, Francisco. Two-Dimensional Einstein Manifolds in Geometrothermodynamics. Advances in High Energy Physics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-512146
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512146