Author:
Herbert C.,Paillard D.,Dubrulle B.
Abstract
Abstract. Nonlinear feedbacks in the Earth System provide mechanisms that can prove very useful in understanding complex dynamics with relatively simple concepts. For example, the temperature and the ice cover of the planet are linked in a positive feedback which gives birth to multiple equilibria for some values of the solar constant: fully ice-covered Earth, ice-free Earth and an intermediate unstable solution. In this study, we show an analogy between a classical dynamical system approach to this problem and a Maximum Entropy Production (MEP) principle view, and we suggest a glimpse on how to reconcile MEP with the time evolution of a variable. It enables us in particular to resolve the question of the stability of the entropy production maxima. We also compare the surface heat flux obtained with MEP and with the bulk-aerodynamic formula.
Subject
General Earth and Planetary Sciences
Reference58 articles.
1. Arnold, V.: Ordinary Differential Equations, Springer, New York, USA, 1984.
2. Bruers, S.: A discussion on maximum entropy production and information theory, J. Phys. A, 40, 7441–7450, 2007.
3. Budyko, M.: The effect of solar radiation variations on the climate of the {E}arth, Tellus, 21, 611–619, 1969.
4. Cahalan, R. and North, G.: A Stability Theorem for Energy-Balance Climate Models, J. Atmos. Sci., 36, 1178–1188, 1979.
5. Chylek, P. and Coakley, J.: Analytical analysis of a Budyko-type climate model, J. Atmos. Sci., 32, 675–679, 1975.
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