Abstract
We explore applications of thermodynamics to hydrology, in particular the application of extremization principles to self-organized river networks. Two thermodynamic principles have been applied to river networks: (1) the most probable state of a system is that its configurational entropy is a maximum, corresponding to dissipation spread evenly throughout the network, and (2) the principle of minimum total energy dissipation, similar to the principle of minimum entropy production. We also discuss the power-law characteristics that are observed in river networks and show how they arise in model networks. We also note the application of these principles to shoreline profiles.
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Miyamoto, H., Baker, V.R., Lorenz, R.D. 11 Entropy and the Shaping of the Landscape by Water. In: Kleidon, A., Lorenz, R.D. (eds) Non-equilibrium Thermodynamics and the Production of Entropy. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11672906_11
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DOI: https://doi.org/10.1007/11672906_11
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22495-2
Online ISBN: 978-3-540-32359-4
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