Non-extensive entropy of bosonic Fibonacci oscillators


Algin A.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1088/1742-5468/2009/04/p04007
  • Dergi Adı: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Özet

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.