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

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.


Published in:
Entropy, 13, 367-378
Year:
2011
Publisher:
MDPI AG
ISSN:
1099-4300
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-03-17

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