Application of Fibonacci oscillators in the Debye model
Statistical Mechanics
2014-12-30 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1412.8443,
title = {Application of Fibonacci oscillators in the Debye model},
author = {Andre A. A. Marinho and F. A. Brito and C. Chesman},
journal= {arXiv preprint arXiv:1412.8443},
year = {2014}
}
Comments
Latex, 5 pages, 3 figures