Possible non-additive entropy based on the -deformed addition
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea
2 Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
* e-mail: email@example.com
Accepted: 3 October 2019
Published online: 7 January 2020
We reexamine the non-additive entropy which was first proposed by Tsallis  where this deformed entropy (q-entropy) is related to a special map. We consider a new map giving the -additive property. Based on this, we propose a new type of non-additive entropy which we call -entropy and derive the -deformed Boltzmann factor and -deformed free energy. As an example, we discuss the black body radiation in the -deformed thermodynamics where we regard photon as a particle obeying -deformed boson algebra.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020