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Complete versus incomplete definitions of the deformed logarithmic and exponential functions
Thomas Oikonomou, G. Baris Bagci
The recent generalizations of Boltzmann-Gibbs statistics mathematically relies on the deformed logarithmic and exponential functions defined through some deformation parameters. In…
Klimontovich`s S theorem in nonextensive formalism and the problem of constraints
G. B. Bagci
Ordinary Boltzmann-Gibbs entropy is inadequate to be used in systems depending on a control parameter that yield different mean energy values. Such systems fail to give the correct…
Nonextensive Reaction Rate
G. B. Bagci
The Kramers' survival probability has been generalized by using nonextensive formalism. This nonextensive survival probability is studied in detail and associated Kramers' rate has…
Is Sharma-Mittal entropy really a step beyond Tsallis and Renyi entropies?
E. Akturk, G. B. Bagci, R. Sever
We studied the Sharma-Mittal relative entropy and showed that its physical meaning is the free energy difference between the off-equilibrium and equilibrium distributions. Unfortun…
Some remarks on Rényi relative entropy in a thermostatistical framework
G. B. Bagci
In ordinary Boltzmann-Gibbs thermostatistics, the relative entropy expression plays the role of generalized free energy, providing the difference between the off-equilibrium and eq…
Quantum Mechanical Treatment of the Problem of Constraints in Nonextensive Formalism Revisited
Gokhan B. Bagci, Altug Arda, Ramazan Sever
The purity of Werner state in nonextensive formalism associated with two different constraints has been calculated in a previous paper by G. B. Bagci et al. [G. B. Bagci et al., In…