Non-extensive entropy of bosonic Fibonacci oscillators
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2009
- Doi Number: 10.1088/1742-5468/2009/04/p04007
- Journal Name: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Eskisehir Osmangazi University Affiliated: No
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 using the formalism of Fibonacci calculus, which generalizes the recently proposed formalism of 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.