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Heat conduction in one-dimensional Fibonacci chain with on-site potential

Xu Hui Cui Mai-Ling Ma Song-Shan

Heat conduction in one-dimensional Fibonacci chain with on-site potential

Xu Hui, Cui Mai-Ling, Ma Song-Shan
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  • Abstract views:  2486
  • PDF Downloads:  538
  • Cited By: 0
Publishing process
  • Received Date:  19 October 2009
  • Accepted Date:  25 January 2010
  • Published Online:  15 October 2010

Heat conduction in one-dimensional Fibonacci chain with on-site potential

  • 1. College of Physical Science and Technology, Central South University, Changsha 410083, China

Abstract: 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.

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