Thermodynamic properties of the blackbody radiation: A Kaniadakis approach

The thermodynamic properties of the blackbody radiation are revisited, for the first time, within the theoretical framework of the kappa-statistics introduced by Kaniadakis. Using the epsilon-counterpart of the Bose-Einstein distribution, generalized expressions for the free energy, the entropy, the specific heat, and the pressure are obtained. All quantities are shown to recover their standard expressions in the limit kappa -> 0. The reexamination of the thermodynamic properties of the blackbody radiation shows that it emits more energy with an increase of the value of vertical bar kappa vertical bar in comparison with the standard Planck radiation law. Moreover, the effects of the deformed Kaniadakis statistics are shown to be more appreciable for high temperatures. Our results could be used as a theoretical support for experimental studies implying blackbody radiation such as the study of microwave background radiation. (C) 2016 Elsevier B.V. All rights reserved.