With the help of a general expression of the entropies in extensive and nonextensive systems, some important relations between thermodynamics and statistical mechanics are revealed through the views of thermodynamics and statistical physics. These relations are proved through the MaxEnt approach...

We consider the application of Tsallis’ generalized statistical mechanics to systems of quantum particles (fermions or bosons). An approach due to Büyükkiliç et al. to find analytic formulae for quantum distribution functions and its application to generalized blackbody radiation is...

The temperature dependence of the heat capacity Cv of the boson gas is studied within the generalized quantum statistics. The generalized heat capacity (Cv)q is shown to increase strongly at all temperatures with increasing nonextensive parameter q. This (Cv)q behavior is used to reproduce the...