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Dynamic maximum entropy reduction

Václav Klika, Michal Pavelka, Petr Vágner and Miroslav Grmela

Article (2019)

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Any physical system can be regarded on different levels of description varying by how detailed the description is. We propose a method called Dynamic MaxEnt (DynMaxEnt) that provides a passage from the more detailed evolution equations to equations for the less detailed state variables. The method is based on explicit recognition of the state and conjugate variables, which can relax towards the respective quasi-equilibria in different ways. Detailed state variables are reduced using the usual principle of maximum entropy (MaxEnt), whereas relaxation of conjugate variables guarantees that the reduced equations are closed. Moreover, an infinite chain of consecutive DynMaxEnt approximations can be constructed. The method is demonstrated on a particle with friction, complex fluids (equipped with conformation and Reynolds stress tensors), hyperbolic heat conduction and magnetohydrodynamics.

Uncontrolled Keywords

model reduction; non-equilibrium thermodynamics; maxent; dynamic maxent; complex fluids; heat conduction; ohm's law; 1st-order hyperbolic formulation; order ader schemes; continuum-mechanics; poisson brackets; complex fluids; thermodynamics; geometry; lie

Subjects: 1800 Chemical engineering > 1803 Thermodynamics
1800 Chemical engineering > 1805 Transport processes
Department: Department of Chemical Engineering
Funders: Czech Science Foundation, Charles University Research program, CRSNG/NSERC
Grant number: 17-15498Y, UNCE/SCI/023, 3100319, 3100735
PolyPublie URL: https://publications.polymtl.ca/4974/
Journal Title: Entropy (vol. 21, no. 7)
Publisher: MDPI
DOI: 10.3390/e21070715
Official URL: https://doi.org/10.3390/e21070715
Date Deposited: 03 Jun 2022 15:42
Last Modified: 11 May 2023 21:35
Cite in APA 7: Klika, V., Pavelka, M., Vágner, P., & Grmela, M. (2019). Dynamic maximum entropy reduction. Entropy, 21(7), 715 (27 pages). https://doi.org/10.3390/e21070715


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