The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State

In this paper we present a simple model to describe a rather general system in a stationary non-equilibrium state, which is an open system traversed by a stationary flux. The probabilistic description is provided by a non-homogeneous Markov chain, which is not assumed on the basis of a model of the...

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Main Author: Marco Favretti
Format: Article
Language:English
Published: MDPI AG 2009-10-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/11/4/675/
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author Marco Favretti
author_facet Marco Favretti
author_sort Marco Favretti
collection DOAJ
description In this paper we present a simple model to describe a rather general system in a stationary non-equilibrium state, which is an open system traversed by a stationary flux. The probabilistic description is provided by a non-homogeneous Markov chain, which is not assumed on the basis of a model of the microscopic interactions but rather derived from the knowledge of the macroscopic fluxes traversing the system through a maximum entropy rate principle.
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spelling doaj.art-cf3c8bed4e0e4830b44b4da0cf97dafd2022-12-22T03:09:59ZengMDPI AGEntropy1099-43002009-10-0111467568710.3390/e11040675The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium StateMarco FavrettiIn this paper we present a simple model to describe a rather general system in a stationary non-equilibrium state, which is an open system traversed by a stationary flux. The probabilistic description is provided by a non-homogeneous Markov chain, which is not assumed on the basis of a model of the microscopic interactions but rather derived from the knowledge of the macroscopic fluxes traversing the system through a maximum entropy rate principle.http://www.mdpi.com/1099-4300/11/4/675/Markov chainasymptotic equipartition propertyentropy rateentropy productioninformation divergence
spellingShingle Marco Favretti
The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
Entropy
Markov chain
asymptotic equipartition property
entropy rate
entropy production
information divergence
title The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
title_full The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
title_fullStr The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
title_full_unstemmed The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
title_short The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
title_sort maximum entropy rate description of a thermodynamic system in a stationary non equilibrium state
topic Markov chain
asymptotic equipartition property
entropy rate
entropy production
information divergence
url http://www.mdpi.com/1099-4300/11/4/675/
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