Non-extensive entropy of bosonic Fibonacci oscillators

Details Non-extensive entropy of bosonic Fibonacci oscillators Non-extensive entropy of bosonic Fibonacci oscillators

2009-04-20

arxiv.org/abs/0904.3031v1

J. Stat. Mech.: Ther. Exp. (2009) P04007

Physics

Condensed Matter

Statistical Mechanics

30 pages, 2 figures, accepted on JSTAT

Scientific paper

10.1088/1742-5468/2009/04/P04007

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.

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