Open AccessHeat conduction in one-dimensional Fibonacci chain with on-site potential
Author(s) -
Hui Xu,
Cui Mai-Ling,
Song Ma
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.7266
Subject(s) - fibonacci number , thermal conduction , transmission coefficient , materials science , thermal conductivity , thermodynamics , heat transfer coefficient , condensed matter physics , transmission (telecommunications) , heat transfer , physics , mathematics , telecommunications , computer science , discrete mathematics
By making use of the method of transfer matrix, we study the behaviors of heat conduction in one-dimensional Fibonacci chain under the influence of on-site potential (including transmission coefficient, Lyapunov coefficient and heat conduction). The results show that, with the on-site potential increasing while fixing the ratios of atom mass and force constant, the transmission coefficient of the low-frequency region decreases, and the corresponding Lyapunov coefficient increases, and the transmission spectrum moves to the higher frequency region. Meanwhile, with the increasing of on-site potential, the heat conductivity of the system decreases. When the on-site potential is large enough, the thermal conductivity of the system will tend to zero. In the curve of κ-ω2, the thermal conductivity shows a slowly increasing trend in steps, and tends to a certain value in the high-frequency region.