C. Gruber, S. D. Brechet. Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
Natural Sciences / Physics / Fluid Dynamics
Submitted on: Sep 17, 2012, 18:51:07
Description: 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. *** Journal reference: Entropy 2011, 13(2), 367-378 ***