<  Back to the Polytechnique Montréal portal

Dynamic maximum entropy reduction

Václav Klika, Michal Pavelka, Petr Vágner and Miroslav Grmela

Article (2019)

[img]
Preview
Published Version
Terms of Use: Creative Commons Attribution .
Download (437kB)
Cite this document: Klika, V., Pavelka, M., Vágner, P. & Grmela, M. (2019). Dynamic maximum entropy reduction. Entropy, 21(7). doi:10.3390/e21070715
Show abstract Hide abstract

Abstract

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

Open Access document in PolyPublie
Subjects: 1800 Génie chimique > 1803 Thermodynamique
1800 Génie chimique > 1805 Procédés de transfert
Department: Département de génie chimique
Research Center: Non applicable
Funders: Czech Science Foundation, Charles University Research program, CRSNG/NSERC
Grant number: 17-15498Y, UNCE/SCI/023, 3100319, 3100735
Date Deposited: 03 Jun 2022 15:42
Last Modified: 04 Jun 2022 01:20
PolyPublie URL: https://publications.polymtl.ca/4974/
Document issued by the official publisher
Journal Title: Entropy (vol. 21, no. 7)
Publisher: MDPI
Official URL: https://doi.org/10.3390/e21070715

Statistics

Total downloads

Downloads per month in the last year

Origin of downloads

Dimensions

Repository Staff Only