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Entropy 2011, 13(2), 367-378; doi:10.3390/e13020367
Article

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

1,*  and 2
Received: 23 December 2010 / Revised: 19 January 2011 / Accepted: 20 January 2011 / Published: 31 January 2011
(This article belongs to the Special Issue Advances in Thermodynamics)
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Abstract

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.
Keywords: thermodynamics; Lagrange equations; point particles thermodynamics; Lagrange equations; point particles
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Gruber, C.; Brechet, S.D. Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics. Entropy 2011, 13, 367-378.

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