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Entropy
Volume 22
Issue 9
10.3390/e22090966
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Article

A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle

by
Vincent Labarre
1,2,*,†,
Didier Paillard
1,*,† and
Bérengère Dubrulle
2
1
Laboratoire des Sciences du Climat et de l’Environnement, UMR 8212 CEA-CNRS-UVSQ, IPSL and Université Paris-Saclay, 91191 Gif-sur-Yvette, France
2
SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
*
Authors to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Entropy 2020, 22(9), 966; https://doi.org/10.3390/e22090966
Submission received: 27 July 2020 / Revised: 20 August 2020 / Accepted: 28 August 2020 / Published: 31 August 2020
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Abstract

We investigated the applicability of the maximum entropy production hypothesis to time-varying problems, in particular, the seasonal cycle using a conceptual model. Contrarily to existing models, only the advective part of the energy fluxes is optimized, while conductive energy fluxes that store energy in the ground are represented by a diffusive law. We observed that this distinction between energy fluxes allows for a more realistic response of the system. In particular, a lag is naturally observed for the ground temperature. This study therefore shows that not all energy fluxes should be optimized in energy balance models using the maximum entropy production hypothesis, but only the fast convective (turbulent) part.
Keywords: maximum entropy production; energy balance model; closure hypothesis; seasonal cycle maximum entropy production; energy balance model; closure hypothesis; seasonal cycle

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MDPI and ACS Style

Labarre, V.; Paillard, D.; Dubrulle, B. A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle. Entropy 2020, 22, 966. https://doi.org/10.3390/e22090966

AMA Style

Labarre V, Paillard D, Dubrulle B. A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle. Entropy. 2020; 22(9):966. https://doi.org/10.3390/e22090966

Chicago/Turabian Style

Labarre, Vincent, Didier Paillard, and Bérengère Dubrulle. 2020. "A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle" Entropy 22, no. 9: 966. https://doi.org/10.3390/e22090966

APA Style

Labarre, V., Paillard, D., & Dubrulle, B. (2020). A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle. Entropy, 22(9), 966. https://doi.org/10.3390/e22090966

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