Rényi Göreceli Entropisinin Fiziksel Anlamı

Boltzmann-Gibbs göreceli entropisi, Boltzmann-Gibbs entropisine ilişkin denge dışı ve denge durumları arasındaki serbest enerji farkını vermektedir. Bu çalışmada, böyle bir fiziksel anlamın Rényi göreceli entropi tanımına verilip verilemeyecegini araştırdık. Bu türden bir fiziksel anlamın sadece q degeri 1’e yaklaştı ğında mümkün olduğunu bulduk. Bu sonuç göstermektedir ki, Rényi göreceli entropisi sadece sistem zaten Boltzmann-Gibbs entropisi tarafından açıklanabildiginde bir fiziksel anlama sahip olmaktadır. Ayrıca bulunan bu sonucun kullanılan iç enerji kısıtından da bagımsız oldu ğu gösterilmiştir.

The Physical Meaning of the Rényi Relative Entropy

The Boltzmann-Gibbs relative entropy provides the difference between the offequilibrium and equilibrium free energy terms associated with Boltzmann-Gibbs entropy. In this work, we studied whether this physical meaning can be given to Rényi relative entropy 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 can already be explained by ordinary Boltzmann-Gibbs entropy. We also note that this result is independent of the internal energy constraint employed.

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