2 citations · 3 across the 5 of their papers we have counts for
13 papers
Multiscale heat transport with inertia and thermal vortices
Michal Pavelka, Liliana Restuccia, David Jou
In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polari…
Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures
Martin Sykora, Michal Pavelka, Ilya Peshkov +3
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) frame…
Learning the GENERIC evolution
Martin Šípka, Michal Pavelka
We propose a novel approach for learning the evolution that employs differentiable neural networks to approximate the full GENERIC structure. Instead of manually choosing the fitte…
Fluctuating Multiscale Mass Action Law
Abdellah Ajji, Jamal Chaouki, Miroslav Grmela +2
The classical mass action law in chemical kinetics is put into the context of multiscale thermodynamics.Despite the purely dissipative character of the classical mass action law, i…
On the thermodynamic derivation of Nernst relation
Diego del Olmo, Michal Pavelka, Juraj Kosek
What is the maximum voltage of a cell with a given electrochemical reaction? The answer to this question has been given more than a century ago by Walther Nernst and bears his name…
Gradient and GENERIC evolution towards reduced dynamics
Miroslav Grmela, Vaclav Klika, Michal Pavelka
Let (M,J) be a dynamical model of macroscopic systems and (N,K) a less microscopic model (i.e. a model involving less details) of the same macroscopic systems; M and N are manifold…