Thermal and electrical properties of a solid through Fibonacci oscillators

André A. Marinho, Francisco A. Brito and Carlos Chesman

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 324-332

Abstract: We investigate the thermodynamics of a crystalline solid applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We based part of our study on both Einstein and Debye models, exploring primarily (q1,q2)-deformed thermal and electric conductivities as a function of Debye specific heat. The results revealed that q-deformation acts as a factor of disorder or impurity, modifying the characteristics of a crystalline structure. Specially, one may find the possibility of adjusting the Fibonacci oscillators to describe the change of thermal and electrical conductivities of a given element as one inserts impurities. Each parameter can be associated to different types of deformations such as disorders and impurities.

Keywords: Thermodynamics; q-deformed algebra; Impurities; Disorders; Thermal and electrical conductivities (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:324-332

DOI: 10.1016/j.physa.2015.09.087

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