Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
Fluid Dynamics
2011-02-17 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1102.3418,
title = {Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics},
author = {C. Gruber and S. D. Brechet},
journal= {arXiv preprint arXiv:1102.3418},
year = {2011}
}
Comments
12 pages, 1 figure