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arXiv · 1412.8443

Application of Fibonacci oscillators in the Debye model

Andre A. A. Marinho·F. A. Brito·C. Chesman
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Abstract

In this paper we study the thermodynamics of a crystalline solid by applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We find a (q1, q2)-deformed Hamiltonian and consequently the q-deformed thermodynamic quantities. The results led us to interpret the deformation parameters acting as disturbance or impurities factors modifying the characteristics of a crystal structure. More specifically, we found the possibility of adjusting the Fibonacci oscillators to describe the change of thermal conductivity of a given element as one inserts impurities.

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BibTeXRIS

Andre A. A. Marinho, F. A. Brito, C. Chesman. 2014-12-29. Application of Fibonacci oscillators in the Debye model. https://doi.org/10.1088/1742-6596/568/1/012009

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