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Entropy 2014, 16(3), 1287-1314; doi:10.3390/e16031287

Entropy: From Thermodynamics to Hydrology

Department of Water Resources and Environmental Engineering, School of Civil Engineering, National Technical University of Athens, 157 80 Zographou, Greece
Received: 13 January 2014 / Revised: 8 February 2014 / Accepted: 12 February 2014 / Published: 27 February 2014
(This article belongs to the Special Issue Entropy in Hydrology)
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Some known results from statistical thermophysics as well as from hydrology are revisited from a different perspective trying: (a) to unify the notion of entropy in thermodynamic and statistical/stochastic approaches of complex hydrological systems and (b) to show the power of entropy and the principle of maximum entropy in inference, both deductive and inductive. The capability for deductive reasoning is illustrated by deriving the law of phase change transition of water (Clausius-Clapeyron) from scratch by maximizing entropy in a formal probabilistic frame. However, such deductive reasoning cannot work in more complex hydrological systems with diverse elements, yet the entropy maximization framework can help in inductive inference, necessarily based on data. Several examples of this type are provided in an attempt to link statistical thermophysics with hydrology with a unifying view of entropy.
Keywords: entropy; principle of maximum entropy; statistical thermophysics; hydrology; stochastics entropy; principle of maximum entropy; statistical thermophysics; hydrology; stochastics
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Koutsoyiannis, D. Entropy: From Thermodynamics to Hydrology. Entropy 2014, 16, 1287-1314.

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