Application of Fibonacci oscillators in the Debye model

27th International Conference on Low Temperature Physics

Marinho, André A.A.^1,2 ; Brito, F.A.^2 ; Chesman, C.^1

Departamento de Física Teórica e Experimental, Universidade Federal Do Rio Grande Do Norte, Caixa Postal 1634, Natal, Rio Grande do Norte

59072-970, Brazil^1

Departamento de Física, Universidade Federal de Campina Grande, Campina Grande, Paraiba

58109-970, Brazil^2

关键词: Crystalline solids;    Debye models;    Deformation parameter;    Fibonacci;    Generalized fibonacci sequences;    Thermodynamic quantities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/568/1/012009/pdf
DOI  :  10.1088/1742-6596/568/1/012009

来源: IOP

【 摘 要 】

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 q1and 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 impurites.