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

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

1 Institute of Theoretical Physics, Station 3, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland 2 Institute of Condensed Matter Physics, Station 3, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
* Author to whom correspondence should be addressed.
Received: 23 December 2010; in revised form: 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

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MDPI and ACS Style

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

AMA Style

Gruber C, Brechet SD. Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics. Entropy. 2011; 13(2):367-378.

Chicago/Turabian Style

Gruber, Christian; Brechet, Sylvain D. 2011. "Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics." Entropy 13, no. 2: 367-378.

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