Gruber, ChristianBréchet, Sylvain2011-12-162011-12-162011-12-16201110.3390/e13020367https://infoscience.epfl.ch/handle/20.500.14299/74458WOS:000287733800004Following 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.thermodynamicsLagrange equationspoint particlestext::journal::journal article::research article