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math-ph2019★ 15 cited
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…
math-ph2015★ 29 cited
A hierarchy of Poisson brackets in non-equilibrium thermodynamics
Michal Pavelka, Vaclav Klika, Ogul Esen +1
Reversible evolution of macroscopic and mesoscopic systems can be conveniently constructed from two ingredients: an energy functional and a Poisson bracket. The goal of this paper…