The Physical Meaning of the Rényi Relative Entropy

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Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:21 Issue:1
The Physical Meaning of the Rényi Relative Entropy

The Physical Meaning of the Rényi Relative Entropy

Pages : 292-295

View : 16 | Download : 15

Publication Date : 2017-03-31

Article Type : Research Paper

Abstract :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.
Keywords : Rényi relative entropy, Free energy, Entropy maximization

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