The Physical Meaning of the Rényi Relative Entropy

Yıl 2017, Cilt: 21 Sayı: 1, 292 - 295, 31.03.2017

Gökhan Barış Bağcı

Öz

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.

Anahtar Kelimeler

Rényi relative entropy, Free energy; Entropy maximization

Kaynakça

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