Dynamic Maximum Entropy Reduction

Dynamic Maximum Entropy Reduction

Václav Klika, Michal Pavelka, Petr Vágner and Miroslav Grmela

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. View Full-Text

Keywords: model reduction; non-equilibrium thermodynamics; MaxEnt; dynamic MaxEnt; complex fluids; heat conduction; Ohm’s law

Full Paper can be downloaded at: https://www.mdpi.com/1099-4300/21/7/715

This article belongs to the Special Issue Entropy and Non-Equilibrium Statistical Mechanics

Submitting to Entropy: https://susy.mdpi.com/??