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Extremal principle of entropy production in the climate system

Paltridge found reasonable values for the most significant climatic variables through maximizing the material transport part of entropy production by using a simple box model. Here, we analyse Paltridge’s box model to obtain the energy and the entropy balance equations separately. Derived expressions for global entropy production, which is a function of the radiation field, and even its material transport component, are shown to be different from those used by Paltridge. Plausible climatic states are found at extrema of these parameters. Feasible results are also obtained by minimizing the radiation part of entropy production, in agreement with one of Planck’s results, Finally, globally averaged values of the entropy flux of radiation and material entropy production are obtained for two dynamical extreme cases: an earth with uniform temperature, and an earth in radiative equilibrium at each latitudinal point

© Quarterly Journal of the Royal Meteorological Society, 1999, vol. 125, núm. 553, p. 79-90

Royal Meteorological Society

Author: Pujol i Sagaró, Toni
Llebot, Josep Enric
Date: 1999
Abstract: Paltridge found reasonable values for the most significant climatic variables through maximizing the material transport part of entropy production by using a simple box model. Here, we analyse Paltridge’s box model to obtain the energy and the entropy balance equations separately. Derived expressions for global entropy production, which is a function of the radiation field, and even its material transport component, are shown to be different from those used by Paltridge. Plausible climatic states are found at extrema of these parameters. Feasible results are also obtained by minimizing the radiation part of entropy production, in agreement with one of Planck’s results, Finally, globally averaged values of the entropy flux of radiation and material entropy production are obtained for two dynamical extreme cases: an earth with uniform temperature, and an earth in radiative equilibrium at each latitudinal point
Format: application/pdf
ISSN: 0035-9009 (versió paper)
1477-870X (versió electrònica)
Document access: http://hdl.handle.net/10256/7715
Language: eng
Publisher: Royal Meteorological Society
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1002/qj.49712555306
Articles publicats (D-F)
Is part of: © Quarterly Journal of the Royal Meteorological Society, 1999, vol. 125, núm. 553, p. 79-90
Rights: Tots els drets reservats
Subject: Radiació atmosfèrica
Atmospheric radiation
Climatologia
Climatology
Entropia
Entropy
Title: Extremal principle of entropy production in the climate system
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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