Non-extensive entropy of bosonic Fibonacci oscillators
Abstract
We discuss possible connections between the thermostatistical properties of a gas of the two-parameter deformed bosonic particles called Fibonacci oscillators and the properties of the Tsallis thermostatistics. In this framework, we particularly focus on a comparison of the non-extensive entropy functions expressed by these two generalized theories. We also show that the thermostatistics of the two-parameter deformed bosons can be studied by the formalism of Fibonacci calculus, which generalizes the recently proposed formalism by Lavagno and Narayana Swamy of q-calculus for the one-parameter deformed boson gas. As an application, we briefly summarize some of the recent results on the Bose-Einstein condensation phenomenon for the present two-parameter generalized boson gas.
Cite
@article{arxiv.0904.3031,
title = {Non-extensive entropy of bosonic Fibonacci oscillators},
author = {Abdullah Algin},
journal= {arXiv preprint arXiv:0904.3031},
year = {2009}
}
Comments
30 pages, 2 figures, accepted on JSTAT