Non-extensive entropy of bosonic Fibonacci oscillators

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dc.creatorAlgin, Abdullah
dc.date2009-04-20
dc.date.accessioned2026-07-07T13:06:21Z
dc.date.available2026-07-07T13:06:21Z
dc.descriptionWe 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.
dc.description30 pages, 2 figures, accepted on JSTAT
dc.identifierhttps://arxiv.org/abs/0904.3031
dc.identifierhttp://arxiv.org/abs/0904.3031
dc.identifierJ. Stat. Mech.: Ther. Exp. (2009) P04007
dc.identifierdoi:10.1088/1742-5468/2009/04/P04007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227754
dc.subjectStatistical Mechanics
dc.subjectQuantum Gases
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNon-extensive entropy of bosonic Fibonacci oscillators
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