- Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 21 Issue: 1
- The Physical Meaning of the Rényi Relative Entropy
The Physical Meaning of the Rényi Relative Entropy
Authors : Gökhan Barış Bağci
Pages : 292-295
Doi:10.19113/sdufbed.31657
View : 7 | Download : 5
Publication Date : 2017-04-15
Article Type : Other
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