Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7057
Title: Misusing the entropy maximization in the jungle of generalized entropies
Authors: Oikonomou, Thomas
Bağcı, Gökhan Barış
Keywords: Entropy maximization
Tsallis/Renyi entropy
Factorized canonical distributions
Partition function
Issue Date: 2017
Publisher: Elsevier Science Bv
Abstract: It is well-known that the partition function can consistently be factorized from the canonical equilibrium distribution obtained through the maximization of the Shannon entropy. We show that such a normalized and factorized equilibrium distribution is warranted if and only if the entropy measure I{(p)} has an additive slope i.e. partial derivative I{(p)}/partial derivative pi when the ordinary linear averaging scheme is used. Therefore, we conclude that the maximum entropy principle of Jaynes should not be used for the justification of the partition functions and the concomitant thermodynamic observables for generalized entropies with non-additive slope subject to linear constraints. Finally, Tsallis and Renyi entropies are shown not to yield such factorized canonical-like distributions. (C) 2016 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.physleta.2016.11.005
https://hdl.handle.net/20.500.11851/7057
ISSN: 0375-9601
1873-2429
Appears in Collections:Malzeme Bilimi ve Nanoteknoloji Mühendisliği Bölümü / Department of Material Science & Nanotechnology Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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