Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/821
Title: Route from discreteness to the continuum for the Tsallis q-entropy
Authors: Oikonomou, Thomas
Bağcı, Gökhan Barış
57546
Keywords: Thermodynamics
Renyi
Issue Date: 5-Jan-2018
Publisher: American Physical Society
Source: Oikonomou, T., & Bagci, G. B. (2018). Route from discreteness to the continuum for the Tsallis q-entropy. Physical Review E, 97(1), 012104.
Abstract: The existence and exact form of the continuum expression of the discrete nonlogarithmic q-entropy is an important open problem in generalized thermostatistics, since its possible lack implies that nonlogarithmic qentropy is irrelevant for the continuous classical systems. In this work, we show how the discrete nonlogarithmic q-entropy in fact converges in the continuous limit and the negative of the q-entropy with continuous variables is demonstrated to lead to the (Csiszar type) q-relative entropy just as the relation between the continuous Boltzmann-Gibbs expression and the Kullback-Leibler relative entropy. As a result, we conclude that there is no obstacle for the applicability of the q-entropy to the continuous classical physical systems.
URI: https://journals.aps.org/pre/pdf/10.1103/PhysRevE.97.012104
https://hdl.handle.net/20.500.11851/821
Appears in Collections:Malzeme Bilimi ve Nanoteknoloji Mühendisliği Bölümü / Department of Material Science & Nanotechnology Engineering
PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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