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.

30 pages, 2 figures, accepted on JSTAT

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Cited by in corpus (6)

• Intermediate statistics as a consequence of deformed algebra
• Intercepts of the momentum correlation functions in μ-Bose gas model and their asymptotics
• Quasi-Fibonacci oscillators
• Intensive variables in the framework of the non-extensive thermostatistics
• Polynomially deformed oscillators as k-bonacci oscillators
• Hermite polynomials and Fibonacci Oscillators