The Physical Meaning of the Rényi Relative Entropy

The boltzmann-gibbs relative entropy provides the difference between the offequilibriumand equilibrium free energy terms associated with boltzmann-gibbs entropy.in this work, we studied whether this physical meaning can be given to rényi relativeentropy definition. we find that this is possible only in the limit as q approaches to 1.this shows that rényi relative entropy has a physical meaning only when the system canalready be explained by ordinary boltzmann-gibbs entropy. we also note that this resultis independent of the internal energy constraint employed.