Bose Einstein condensation in a gas of the Fibonacci oscillators

Abstract

We consider a system of the two-parameter deformed boson oscillators whose spectrum is given by a generalized Fibonacci sequence. In order to obtain the role of the deformation parameters (q1,q2) on the thermostatistics of the system, we calculate several thermostatistical functions in the thermodynamical limit and investigate the low-temperature behavior of the system. In this framework, we show that the thermostatistics of the (q1,q2)-bosons can be studied by the formalism of Fibonacci calculus which generalizes the recently proposed formalism of q-calculus. We also discuss the conditions under which the Bose-Einstein condensation would occur in the present two-parameter generalized boson gas. However, the ordinary boson gas results can be obtained by applying the limit q1=q2=1.

arXiv comment39 pages, 10 figures, accepted on JSAT

References in corpus (16)

• Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
• Generalized thermodynamics of q-deformed bosons and fermions
• Thermostatistics of q-deformed boson gas
• Kinetic model for q-deformed bosons and fermions
• Anyonic behavior of quantum group gases
• Statistical Mechanics of $qp$-Bosons in $D$ Dimensions
• Bose-Einstein condensation of a quantum group gas
• Thermodynamic q-Distributions That Aren't
• Multi-particle correlations in qp-Bose gas model
• q-deformed Fermions
• Introduction to Thermal Field Theory
• Thermal Field Theory and Infinite Statistics
• Thermodynamic Properties of a Quantum Group Boson Gas $G{L}_{p,q}(2)$
• Detailed Balance and Intermediate Statistics
• The q-deformed Bose gas: Integrability and thermodynamics
• λ-transition in low dimensional systems with SU_q(2) symmetry

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• Thermal and electrical properties of a solid through Fibonacci oscillators
• Fibonacci Oscillators in the Landau Diamagnetism problem
• Application of Fibonacci oscillators in the Debye model
• Intermediate statistics: addressing the thermoelectric properties of solids