Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics

Details Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics

2011-02-16

arxiv.org/abs/1102.3418v1

Entropy 2011, 13(2), 367-378

Physics

Fluid Dynamics

12 pages, 1 figure

Scientific paper

10.3390/e13020367

Following the analytic approach to thermodynamics developed by Stueckelberg, 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.

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