Analytical Thermodynamics
Statistical Mechanics
2022-11-10 v2 Mathematical Physics
math.MP
Abstract
This paper proposes a theory that bridges classical analytical mechanics and nonequilibrium thermodynamics. Its intent is to derive the evolution equations of a system from a stationarity principle for a suitably augmented Lagrangian action. This aim is attained for homogeneous systems, described by a finite number of state variables depending on time only. In particular, it is shown that away from equilibrium free energy and entropy are independent constitutive functions.
Cite
@article{arxiv.2205.14682,
title = {Analytical Thermodynamics},
author = {Paolo Podio-Guidugli and Epifanio G. Virga},
journal= {arXiv preprint arXiv:2205.14682},
year = {2022}
}