{ "id": "1412.8443", "version": "v1", "published": "2014-12-29T19:57:15.000Z", "updated": "2014-12-29T19:57:15.000Z", "title": "Application of Fibonacci oscillators in the Debye model", "authors": [ "Andre A. A. Marinho", "F. A. Brito", "C. Chesman" ], "comment": "Latex, 5 pages, 3 figures", "journal": "Journal of Physics: Conference Series 568 (2014) 012009", "doi": "10.1088/1742-6596/568/1/012009", "categories": [ "cond-mat.stat-mech", "hep-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2014-12-29T19:57:15.000Z" } ], "analyses": { "keywords": [ "fibonacci oscillators", "debye model", "application", "independent deformation parameters q1", "q-deformed thermodynamic quantities" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics Conference Series", "year": 2014, "month": "Dec", "volume": 568, "number": 1, "pages": "012009" }, "note": { "typesetting": "LaTeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1335758, "adsabs": "2014JPhCS.568a2009M" } } }