Miroslav Grmela†, Michal Pavelka‡
Abstract: Classical and multiscale non-equilibrium thermodynamics have dif- ferent histories and different objectives. In this Note we explain the differences and review some topics in which the multiscale viewpoint of mesoscopic time evolution of macroscopic systems helped to advance the classical non-equilibrium thermodynamics. Eventually, we illus- trate the Braun-Le Chˆatelier principle in dissipative thermodynamics.
Keywords: classical non-equilibrium thermodynamics, multiscale thermodynamics, geometric mechanics, Braun-Le Chatelier principle.
MSC: 82C03.
DOI 10.56082/annalsarscimath.2025.3.319
† miroslav.grmela@polymtl.ca, Ecole Polytechnique Montreal, C.P.6079 suc. Centre- ville, Montreal, H3C 3A7, Qu´ebec, Canada
‡ pavelka@karlin.mff.cuni.cz, Mathematical Institute, Faculty of Mathematics and Physics, Charles University, Sokolovska 83, 18675 Prague, Czech Republic
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
