A case study of non-Fourier heat conduction using Internal Variables and GENERIC
Abstract
Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and the framework of General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC), we demonstrate that, in heat conduction theories, entropy current multipliers can be interpreted as relaxed state variables. Fourier's law and its various extensions -- the Maxwell-Cattaneo-Vernotte, Guyer-Krumhansl, Jeffreys type, Ginzburg-Landau (Allen-Cahn) type and ballistic-diffusive -- heat conduction equations are derived in both formulations. Along these lines, a comparison of NET-IV and GENERIC is also performed. Our results may pave the way for microscopic/multiscale understanding of beyond-Fourier heat conduction, and open new ways for numerical simulations of heat-conduction problems.
Cite
@article{arxiv.2103.03326,
title = {A case study of non-Fourier heat conduction using Internal Variables and GENERIC},
author = {Mátyás Szücs and Michal Pavelka and Róbert Kovács and Tamás Fülöp and Péter Ván and Miroslav Grmela},
journal= {arXiv preprint arXiv:2103.03326},
year = {2022}
}
Comments
28 pages