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The Physical Meaning of the Rényi Relative Entropy

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dc.creator BAĞCI, Gökhan Barış
dc.date 2017-03-31T00:00:00Z
dc.date.accessioned 2019-07-09T11:59:32Z
dc.date.available 2019-07-09T11:59:32Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/30898/334445
dc.identifier 10.19113/sdufbed.31657
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46328
dc.description The Boltzmann-Gibbs relative entropy provides the difference between the off-equilibrium and equilibrium free energy terms associated with Boltzmann-Gibbs entropy. In this work, we studied whether this physical meaning can be given to R\'{e}nyi relative entropy definition. We find that this is possible only in the limit as $q$ approaches to 1. This shows that R\'{e}nyi relative entropy has a physical meaning only when the system can already be explained by ordinary Boltzmann-Gibbs entropy. We also note that this result is independent of the internal energy constraint employed.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/334690
dc.source Volume: 21, Issue: 1 292-295 en-US
dc.source 1308-6529
dc.subject Rényi relative entropy,Free energy; Entropy maximization
dc.title The Physical Meaning of the Rényi Relative Entropy en-US
dc.type info:eu-repo/semantics/article


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