The restrictions of the maximum entropy production principle [PDF]
We tried to explain our point of view on this principle and answer a number of critical questions in this comment. It is the first time we have clearly presented all the existing restrictions of MEPP application and briefly explained them; this will help to avoid misunderstandings connected with its use.
Martyushev, L. M., Seleznev, V. D.
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Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy [PDF]
Jaynes's principle of maximum entropy and Kullbacks principle of minimum cross-entropy (minimum directed divergence) are shown to be uniquely correct methods for inductive inference when new information is given in the form of expected values. Previous justifications use intuitive arguments and rely on the properties of entropy and cross-entropy as ...
Shore, John E., Johnson, Rodney W.
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On the Equivalence of Gibbs, Boltzmann, and Thermodynamic Entropies in Equilibrium and Nonequilibrium Scenarios [PDF]
In this presentation, we have identified the domain of equivalence amongst the Boltzmann, Gibbs, and thermodynamic entropies. In this domain, ergodicity is followed even for (i) all nonequilibrium steady states and (ii) those time-dependent ...
Anil A. Bhalekar, Vijay M. Tangde
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Generalization of the maximum entropy principle for curved statistical manifolds
The maximum entropy principle (MEP) is one of the most prominent methods to investigate and model complex systems. Despite its popularity, the standard form of the MEP can only generate Boltzmann-Gibbs distributions, which are ill-suited for many ...
Pablo A. Morales, Fernando E. Rosas
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While entropy was introduced in the second half of the 19th century in the international vocabulary as a scientific term, in the 20th century it became common in colloquial use.
Demetris Koutsoyiannis +1 more
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Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle
The maximum entropy principle consists of two steps: The first step is to find the distribution which maximizes entropy under given constraints. The second step is to calculate the corresponding thermodynamic quantities.
Jan Korbel
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Maximum entropy principle based estimation of performance distribution in queueing theory. [PDF]
In related research on queuing systems, in order to determine the system state, there is a widespread practice to assume that the system is stable and that distributions of the customer arrival ratio and service ratio are known information. In this study,
Dayi He, Ran Li, Qi Huang, Ping Lei
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A review on Thermodynamics in Water Cycle with Emphasizing on Entropy and Maximum Entropy Production Principle [PDF]
Hydrological cycle is directed into thermodynamic non-equilibrium state and maximum entropy production through thermodynamic processes. Therefore, it is possible to understand and describe hydrological cycle through computation of entropy production rate
Diba Ghonchepour, Abdolreza Bahremand
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Maximum Entropy Theory of Ecology: A Reply to Harte
In a paper published in this journal, I addressed the following problem: under which conditions will two scientists, observing the same system and sharing the same initial information, reach the same probabilistic description upon the application of the ...
Marco Favretti
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Entropy: From Thermodynamics to Hydrology
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 ...
Demetris Koutsoyiannis
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