2014/12/29 by Andre A. A. Marinho, F. A. Brito, C. Chesman · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/1742-6596/568/1/012009
published as Journal of Physics: Conference Series 568 (2014) 012009 · Latex, 5 pages, 3 figures
arxiv created 2014/12/29 · arxiv updated 2014/12/30
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.