Eur. Phys. J. Plus (2020) 135: 19
https://doi.org/10.1140/epjp/s13360-019-00047-6

Regular Article

Possible non-additive entropy based on the -deformed addition

¹ 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: h.hasanabadi@shahroodut.ac.ir

Received: 23 May 2019
Accepted: 3 October 2019
Published online: 7 January 2020

Abstract

We reexamine the non-additive entropy which was first proposed by Tsallis [1] 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.