Thermodynamic analysis based on the second-order variations of thermodynamic potentials
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...
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2008-01-01
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Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2008/1450-55840803215L.pdf |
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doaj-63c981ec2f134ed99f7d6602030483ab2020-11-24T22:50:28ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842008-01-01351-321523410.2298/TAM0803215LThermodynamic analysis based on the second-order variations of thermodynamic potentialsLubarda Vlado A.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. http://www.doiserbia.nb.rs/img/doi/1450-5584/2008/1450-55840803215L.pdfGibbs conditionsinternal energysecond-order variationsspecific heatsthermodynamic potentials |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lubarda Vlado A. |
spellingShingle |
Lubarda Vlado A. Thermodynamic analysis based on the second-order variations of thermodynamic potentials Theoretical and Applied Mechanics Gibbs conditions internal energy second-order variations specific heats thermodynamic potentials |
author_facet |
Lubarda Vlado A. |
author_sort |
Lubarda Vlado A. |
title |
Thermodynamic analysis based on the second-order variations of thermodynamic potentials |
title_short |
Thermodynamic analysis based on the second-order variations of thermodynamic potentials |
title_full |
Thermodynamic analysis based on the second-order variations of thermodynamic potentials |
title_fullStr |
Thermodynamic analysis based on the second-order variations of thermodynamic potentials |
title_full_unstemmed |
Thermodynamic analysis based on the second-order variations of thermodynamic potentials |
title_sort |
thermodynamic analysis based on the second-order variations of thermodynamic potentials |
publisher |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
series |
Theoretical and Applied Mechanics |
issn |
1450-5584 |
publishDate |
2008-01-01 |
description |
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. |
topic |
Gibbs conditions internal energy second-order variations specific heats thermodynamic potentials |
url |
http://www.doiserbia.nb.rs/img/doi/1450-5584/2008/1450-55840803215L.pdf |
work_keys_str_mv |
AT lubardavladoa thermodynamicanalysisbasedonthesecondordervariationsofthermodynamicpotentials |
_version_ |
1725672456664907776 |