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Route from discreteness to the continuum for the Tsallis q-entropy

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dc.contributor.author Oikonomou, Thomas
dc.contributor.author Bağcı, Gökhan Barış
dc.date.accessioned 2019-03-22T12:43:04Z
dc.date.available 2019-03-22T12:43:04Z
dc.date.issued 2018-01-05
dc.identifier.citation Oikonomou, T., & Bagci, G. B. (2018). Route from discreteness to the continuum for the Tsallis q-entropy. Physical Review E, 97(1), 012104. en_US
dc.identifier.uri https://journals.aps.org/pre/pdf/10.1103/PhysRevE.97.012104
dc.identifier.uri http://hdl.handle.net/20.500.11851/821
dc.description.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. en_US
dc.language.iso eng en_US
dc.publisher American Physical Society en_US
dc.relation.isversionof 10.1103/PhysRevE.97.012104 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Thermodynamics en_US
dc.subject Renyi en_US
dc.title Route from discreteness to the continuum for the Tsallis q-entropy en_US
dc.type article en_US
dc.relation.journal Physical Review E en_US
dc.contributor.department TOBB ETU, Faculty of Engineering, Department of Material Science & Nanotechnology Engineering en_US
dc.identifier.volume 97 en_US
dc.identifier.issue 1 en_US
dc.identifier.wos WOS:000419323100002
dc.identifier.scopus 2-s2.0-85040173250
dc.contributor.tobbetuauthor Bağcı, Gökhan Barış
dc.contributor.YOKid 57546
dc.identifier.PubMedID PMID:29448345
dc.identifier.doi 10.1103/PhysRevE.97.012104
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı


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