Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
arXiv:1102.3418 · doi:10.3390/e13020367
Abstract
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.
12 pages, 1 figure