Abstract
Planet Earth is a thermodynamic system far from equilibrium and its functioning—obviously—obeys the second law of thermodynamics, at the detailed level of processes, but also at the planetary scale of the whole system. Here, we describe the dynamics of the Earth system as the consequence of sequences of energy conversions that are constrained by thermodynamics. We first describe the well-established Carnot limit and show how it results in a maximum power limit when interactions with the boundary conditions are being allowed for. To understand how the dynamics within a system can achieve this limit, we then explore with a simple model how different configurations of flow structures are associated with different intensities of dissipation. When the generation of power and these different configuration of flow structures are combined, one can associate the dynamics towards the maximum power limit with a fast, positive and a slow, negative feedback that compensate each other at the maximum power state. We close with a discussion of the importance of a planetary, thermodynamic view of the whole Earth system, in which thermodynamics limits the intensity of the dynamics, interactions strongly shape these limits, and the spatial organization of flow represents the means to reach these limits.
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References
Dewar, R.C.: Maximum Entropy Production and non-equilibrium statistical mechanics. In: Kleidon, A., Lorenz, R. D. (eds.) Non-Equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond, pp. 41–56, Springer, Heidelberg (2005)
Dewar, R.C.: J. Phys. A 38, L371 (2005). doi:10.1088/0305-4470/38/21/L01
Niven, R.K.: Phys. Rev. E 80, 021113 (2009)
Dewar, R.C.: Entropy 11(4), 931 (2010)
Niven, R.K.: Phil. Trans. R. Soc. B 365, 1323 (2010)
Ozawa, H., Ohmura, A., Lorenz, R.D., Pujol, T.: Rev. Geophys. 41, 1018 (2003)
Kleidon, A., Lorenz, R.D. (eds.): Non-Equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. Springer, Heidelberg (2005)
Kleidon, A. Malhi, Y. Cox, P.M.: Phil. Trans. R. Soc. B 365, 1297 (2010)
Lorenz, R.D. Lunine, J.I., Withers, P.G. McKay, C.P.: Geophys. Res. Lett. 28, 415 (2001)
Lorenz, R.D., Mckay, C.P.: Icarus 165(2), 407 (2003)
Kleidon, A., Fraedrich, K., Kunz, T., Lunkeit, F.: Geophys. Res. Lett. 30, 2223 (2003). doi:10.1029/2003GL018363
Kleidon, A., Fraedrich, K., Kirk, E., Lunkeit, F.: Geophys. Res. Lett. 33, L06706 (2006). doi:10.1029/2005GL025373
Goody, R.: J. Atmos. Sci. 64, 2735 (2007)
Volk, T.: Clim. Ch. 85, 251 (2007)
Volk, T., Pauluis, O.: Phil. Trans. R. Soc. B 365, 1317 (2010)
Kiehl, J.T., Trenberth, K.E.: Bull. Amer. Meteorol. Soc. 78, 197 (1997)
Kleidon, A.: Phil. Trans. R. Soc. A 370, 1012 (2012)
Kleidon, A.: Clim. Ch. 66, 271 (2004)
Schneider, E.D., Kay, J.J.: Math. Comput. Modeling 19, 25 (1994)
Kleidon, A., Zehe, E., Ehret, U., Scherer, U.: Hydrol. Earth Syst. Sci. 17, 225 (2013)
Hansen, J., Lacis, A., Rind, D., Russell, G., Stone, P., Fung, I., Ruedy, R., Lerner, J.: Climate processes and climate sensitivity. Geophys. Monogr. 29 (1984), (American Geophysical Union)
Malkus, W.V.R.: Phys. Fluids 8, 1582 (1996)
Lorenz, E.N.: Tellus 7, 157 (1955)
Lorenz, E.N.: Dynamics of Climate. In: Pfeffer, R.C. (ed.) pp. 86–92. Pergamon Press, Oxford (1960)
Pauluis, O., Held, I.M.: J. Atmos. Sci. 59, 126 (2002)
Pauluis, O., Held, I.M.: J. Atmos. Sci. 59, 140 (2002)
Pauluis, O.: Water vapor and entropy production in the Earth's atmosphere. In: Kleidon, A., Lorenz, R. D. (eds.) Non-Equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond, pp. 173–190, Springer, Heidelberg (2005)
Kleidon, A., Renner, M.: Hydrol. Earth Syst. Sci. 17, 2873–2892 (2013), doi:10.5194/hess-17-2873-2013
Lovelock, J.E.: Nature 207, 568 (1965)
Lovelock, J.E.: Proc. Roy. Soc. Lond. B 189, 167 (1975)
Juretic, D., Zupanovic, P.: The free-energy transduction and entropy production in initial photosynthetic reactions. In: Kleidon, A., Lorenz, R. D. (eds.) Non-Equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond, pp. 161–172, Springer, Heidelberg (2005)
Lotka, A.J.: Proc. Natl. Acad. Sci. U.S.A. 8, 147 (1922)
Lotka, A.J.: Proc. Natl. Acad. Sci. U.S.A. 8, 151 (1922)
Prigogine, I.: Science 201, 777 (1978)
Bejan, A., Lorente, S.: Phil. Trans. R. Soc. B 365, 1335 (2010)
West, G.B., Brown, J.H., Enquist, B.J.: Science 276, 122 (1997)
Kleidon, A.: Phys. Life Rev. 7, 424 (2010)
Acknowledgments
This research contributes to the Helmholtz Alliance “Planetary Evolution and Life”. The authors thank Roderick Dewar and two anonymous reviewers for their constructive comments.
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Kleidon, A., Zehe, E., Ehret, U., Scherer, U. (2014). Earth System Dynamics Beyond the Second Law: Maximum Power Limits, Dissipative Structures, and Planetary Interactions. In: Dewar, R., Lineweaver, C., Niven, R., Regenauer-Lieb, K. (eds) Beyond the Second Law. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40154-1_8
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DOI: https://doi.org/10.1007/978-3-642-40154-1_8
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