2018/09/13 by Miroslav Grmela, Michal Pavelka, Václav Klika +3 · 14 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Configuration entropy #Entropy (arrow of time) #Entropy production #Fourier series #Fourier transform #Heat Transfer and Numerical Methods #Joint quantum entropy #Maximum entropy thermodynamics #Non-equilibrium thermodynamics #Thermodynamic equilibrium #Thermoelastic and Magnetoelastic Phenomena #cond-mat.stat-mech
paper · pdf · doi:10.1515/jnet-2018-0059
published in Journal of Non-Equilibrium Thermodynamics 44(3), 217-233 (De Gruyter) · Submitted to the Journal of Non-equilibrium Thermodynamics
arxiv created 2018/09/13 · openalex created_date 2018/09/27 · openalex publication_date 2019/05/25 · arxiv updated 2019/07/24 · openalex updated_date 2026/08/05
Abstract Heat conduction is investigated on three levels: equilibrium, Fourier, and Cattaneo. The Fourier level is either the point of departure for investigating the approach to equilibrium or the final stage in the investigation of the approach from the Cattaneo level. Both investigations bring to the Fourier level an entropy and a thermodynamics. In the absence of external and internal influences preventing the approach to equilibrium the entropy that arises in the latter investigation is the production of the classical entropy that arises in the former investigation. If the approach to equilibrium is prevented, then the entropy that arises in the investigation of the approach from the Cattaneo level to the Fourier level still brings to the Fourier level the entropy and the thermodynamics even if the classical entropy and the classical thermodynamics are absent. We also note that vanishing total entropy production as a characterization of equilibrium state is insufficient.