中国物理B ›› 2025, Vol. 34 ›› Issue (11): 114401-114401.doi: 10.1088/1674-1056/adf1ea

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Strain modulated phonon transport in one-dimensional nonlinear lattice with on-site potential

Hongbin Chen(陈宏斌)1, Nianbei Li(李念北)1,†, and Jie Chen(陈杰)2,‡   

  1. 1 Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China;
    2 Center for Phononics and Thermal Energy Science, China-EU Joint Laboratory for Nanophononics, MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • 收稿日期:2025-05-22 修回日期:2025-06-20 接受日期:2025-07-19 发布日期:2025-11-06
  • 基金资助:
    This project is supported by the National Natural Science Foundation of China (Grant Nos. 12175074 and 12475037) and the Science and Technology Commission of Shanghai Municipality (Grant No. 24520711200). J. C. is supported by the Shuguang Program of the Shanghai Education Development Foundation and the Shanghai Municipal Education Commission (Grant No. 23SG18).

Strain modulated phonon transport in one-dimensional nonlinear lattice with on-site potential

Hongbin Chen(陈宏斌)1, Nianbei Li(李念北)1,†, and Jie Chen(陈杰)2,‡   

  1. 1 Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China;
    2 Center for Phononics and Thermal Energy Science, China-EU Joint Laboratory for Nanophononics, MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • Received:2025-05-22 Revised:2025-06-20 Accepted:2025-07-19 Published:2025-11-06
  • Contact: Nianbei Li, Jie Chen E-mail:nbli@hqu.edu.cn;jie@tongji.edu.cn
  • Supported by:
    This project is supported by the National Natural Science Foundation of China (Grant Nos. 12175074 and 12475037) and the Science and Technology Commission of Shanghai Municipality (Grant No. 24520711200). J. C. is supported by the Shuguang Program of the Shanghai Education Development Foundation and the Shanghai Municipal Education Commission (Grant No. 23SG18).

摘要: The one-dimensional (1D) nonlinear lattices with on-site potentials exhibit normal heat conduction and energy diffusion behaviors. The strain-modulated energy diffusion constants are studied for the 1D Frenkel–Kontorova (FK) lattices, which are typical lattices with on-site potentials. The 1D FK lattices show strain-modulated symmetric behaviors of local extrema in energy diffusion constants, similar to those previously observed in 1D Fermi–Pasta–Ulam (FPU) lattices that contain only interparticle potentials. However, the 1D FK lattices exhibit local minima in energy diffusion constants, which is in contrast to the behavior of the 1D FPU lattices. Although strain always enhances the phonon group velocity and suppresses the phonon relaxation time for both the 1D FK and FPU lattices, the suppression of the phonon relaxation time is much weaker for the 1D FK lattices compared to the 1D FPU lattices.

关键词: heat conduction, nonlinear dynamics

Abstract: The one-dimensional (1D) nonlinear lattices with on-site potentials exhibit normal heat conduction and energy diffusion behaviors. The strain-modulated energy diffusion constants are studied for the 1D Frenkel–Kontorova (FK) lattices, which are typical lattices with on-site potentials. The 1D FK lattices show strain-modulated symmetric behaviors of local extrema in energy diffusion constants, similar to those previously observed in 1D Fermi–Pasta–Ulam (FPU) lattices that contain only interparticle potentials. However, the 1D FK lattices exhibit local minima in energy diffusion constants, which is in contrast to the behavior of the 1D FPU lattices. Although strain always enhances the phonon group velocity and suppresses the phonon relaxation time for both the 1D FK and FPU lattices, the suppression of the phonon relaxation time is much weaker for the 1D FK lattices compared to the 1D FPU lattices.

Key words: heat conduction, nonlinear dynamics

中图分类号:  (Heat conduction)

  • 44.10.+i
05.45.-a (Nonlinear dynamics and chaos)