Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics
Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics
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DOI：
10.3390/e13020367
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发表时间：
2011-02-01
期刊：
影响因子：
2.7
通讯作者：
Brechet, Sylvain D.
中科院分区：
文献类型：
--
作者：
Gruber, Christian;Brechet, Sylvain D.
Following the analytic approach to thermodynamics developed by Stuckelberg, 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.
