https://doi.org/10.1140/epjp/s13360-022-03427-7
Regular Article
Thermostatistical properties of the blackbody radiation and Debye crystal model through Fibonacci oscillators
1
Department of Mechanical Engineering, Faculty of Technology, Pamukkale University, Kinikli Campus, 20160, Denizli, Turkey
2
Department of Physics, Faculty of Science, Sakarya University, Esentepe Campus, 54050, Sakarya, Turkey
Received:
17
August
2022
Accepted:
24
October
2022
Published online:
10
November
2022
In this study, we consider a deformed gas of the bosonic Fibonacci oscillators, whose properties enable us to develop both an intermediate-statistics behavior and an energy spectrum given by a generalized Fibonacci sequence in terms of the real independent deformation parameters 
and 
. By viewing photons and phonons as the particles obeying the commuting Fibonacci oscillator algebra, we extensively discuss several thermodynamical and statistical properties of the blackbody radiation and Debye crystal model. We then investigate possible roles of the deformation parameters and on the thermostatistics of such deformed photon and deformed phonon gases. Finally, we compare our results with the results of both the non-extensive Tsallis statistics and the usual (undeformed) Bose gas case. The approach presented here could give new insights for further studies of deformed quantum thermodynamics and its potential applications such as in understanding the properties of early universe as well as modeling a possible candidate of dark matter.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
