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Effects of geometrical structure on spatial distribution of thermal energy in two-dimensional triangular lattices

Author

Listed:
  • Liu, Yong-Yang
  • Xu, Yu-Liang
  • Liu, Zhong-Qiang
  • Li, Jing
  • Wang, Chun-Yang
  • Kong, Xiang-Mu

Abstract

Employing the correlation matrix technique, the spatial distribution of thermal energy in two-dimensional triangular lattices in equilibrium, interacting with linear springs, is studied. It is found that the spatial distribution of thermal energy varies with the included angle of the springs. In addition, the average thermal energy of the longer springs is lower. Springs with different included angle and length will lead to an inhomogeneous spatial distribution of thermal energy. This suggests that the spatial distribution of thermal energy is affected by the geometrical structure of the system: the more asymmetric the geometrical structure of the system is, the more inhomogeneous is the spatial distribution of thermal energy.

Suggested Citation

  • Liu, Yong-Yang & Xu, Yu-Liang & Liu, Zhong-Qiang & Li, Jing & Wang, Chun-Yang & Kong, Xiang-Mu, 2018. "Effects of geometrical structure on spatial distribution of thermal energy in two-dimensional triangular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 185-194.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:185-194
    DOI: 10.1016/j.physa.2018.02.022
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    References listed on IDEAS

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    1. Dorofeyev, Illarion, 2016. "Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 200-220.
    2. Dhar, Abhishek & Dandekar, Rahul, 2015. "Heat transport and current fluctuations in harmonic crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 418(C), pages 49-64.
    3. Bonança, M.V.S. & de Aguiar, M.A.M., 2006. "Classical dissipation and asymptotic equilibrium via interaction with chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 333-350.
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