Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics
Following the analytic approach to thermodynamics developed by Stückelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mechanical and the thermal evolution of the syst...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2011-01-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/13/2/367/ |
| _version_ | 1798005915057651712 |
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| author | Christian Gruber Sylvain D. Brechet |
| author_facet | Christian Gruber Sylvain D. Brechet |
| author_sort | Christian Gruber |
| collection | DOAJ |
| description | Following the analytic approach to thermodynamics developed by Stückelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mechanical and the thermal evolution of the system. The coupling between these evolution equations is due to the action of a viscous friction term. Finally, we apply our coupled evolution equations to study the thermodynamics of an isolated system consisting of identical point particles interacting through a harmonic potential. |
| first_indexed | 2024-04-11T12:47:41Z |
| format | Article |
| id | doaj.art-ad882c5baacf4d8dbd49dd273cc63724 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:47:41Z |
| publishDate | 2011-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ad882c5baacf4d8dbd49dd273cc637242022-12-22T04:23:19ZengMDPI AGEntropy1099-43002011-01-0113236737810.3390/e13020367Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of ThermodynamicsChristian GruberSylvain D. BrechetFollowing the analytic approach to thermodynamics developed by Stückelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mechanical and the thermal evolution of the system. The coupling between these evolution equations is due to the action of a viscous friction term. Finally, we apply our coupled evolution equations to study the thermodynamics of an isolated system consisting of identical point particles interacting through a harmonic potential.http://www.mdpi.com/1099-4300/13/2/367/thermodynamicsLagrange equationspoint particles |
| spellingShingle | Christian Gruber Sylvain D. Brechet Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics Entropy thermodynamics Lagrange equations point particles |
| title | Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics |
| title_full | Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics |
| title_fullStr | Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics |
| title_full_unstemmed | Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics |
| title_short | Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics |
| title_sort | lagrange equations coupled to a thermal equation mechanics as consequence of thermodynamics |
| topic | thermodynamics Lagrange equations point particles |
| url | http://www.mdpi.com/1099-4300/13/2/367/ |
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