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...

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Main Authors:	Christian Gruber, Sylvain D. Brechet
Format:	Article
Language:	English
Published:	MDPI AG 2011-01-01
Series:	Entropy
Subjects:	thermodynamics Lagrange equations point particles
Online Access:	http://www.mdpi.com/1099-4300/13/2/367/

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record_format	Article
spelling	doaj-ad882c5baacf4d8dbd49dd273cc637242020-11-24T22:48:19ZengMDPI 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Christian Gruber Sylvain D. Brechet
spellingShingle	Christian Gruber Sylvain D. Brechet Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics Entropy thermodynamics Lagrange equations point particles
author_facet	Christian Gruber Sylvain D. Brechet
author_sort	Christian Gruber
title	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_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_sort	lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2011-01-01
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.
topic	thermodynamics Lagrange equations point particles
url	http://www.mdpi.com/1099-4300/13/2/367/
work_keys_str_mv	AT christiangruber lagrangeequationscoupledtoathermalequationmechanicsasconsequenceofthermodynamics AT sylvaindbrechet lagrangeequationscoupledtoathermalequationmechanicsasconsequenceofthermodynamics
_version_	1725678555023540224

Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics

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