2015/06/05 by André A. Marinho, Andre A. Marinho, F. A. Brito +3 · 20 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic structures and combinatorial models #Combinatorics #Composite material #Condensed matter physics #Debye #Debye model #Deformation (meteorology) #Fibonacci number #Function (biology) #Impurity #Materials science #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Thermal #Thermodynamics #cond-mat.stat-mech
paper · pdf · open access · doi:10.1016/j.physa.2015.09.087
published in Physica A Statistical Mechanics and its Applications 443, 324-332 (Elsevier BV) · Latex, 14 pages, 5 figures. arXiv admin note: text overlap with arXiv:1412.8443, arXiv:1109.0570
arxiv created 2015/06/05 · openalex publication_date 2015/10/10 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.