Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy

doi:10.1088/1674-1056/addce5

中国物理B ›› 2025, Vol. 34 ›› Issue (9): 94401-094401.doi: 10.1088/1674-1056/addce5

所属专题： SPECIAL TOPIC — Heat conduction and its related interdisciplinary areas

Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy

Hongbin Chen(陈宏斌)¹, Qin-Yi Zhang(张钦奕)¹, Jiahui Wang(王佳惠)¹, Nianbei Li(李念北)^1,†, and Jie Chen(陈杰)^2,‡

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:2025-04-07 修回日期:2025-05-16 接受日期:2025-05-27 出版日期:2025-08-21 发布日期:2025-09-17
通讯作者: Nianbei Li, Jie Chen E-mail:nbli@hqu.edu.cn;jie@tongji.edu.cn
基金资助:
Project 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 Shanghai Education Development Foundation and the Shanghai Municipal Education Commission (Grant No. 23SG18).

Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy

Hongbin Chen(陈宏斌)¹, Qin-Yi Zhang(张钦奕)¹, Jiahui Wang(王佳惠)¹, Nianbei Li(李念北)^1,†, and Jie Chen(陈杰)^2,‡

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:2025-04-07 Revised:2025-05-16 Accepted:2025-05-27 Online:2025-08-21 Published:2025-09-17
Contact: Nianbei Li, Jie Chen E-mail:nbli@hqu.edu.cn;jie@tongji.edu.cn
Supported by:
Project 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 Shanghai Education Development Foundation and the Shanghai Municipal Education Commission (Grant No. 23SG18).

摘要/Abstract

摘要： One-dimensional (1D) nonlinear lattices that conserve momentum exhibit anomalous heat conduction, except for the specific case of the 1D coupled rotator lattice. Unlike classical interacting 1D nonlinear lattices such as the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) lattice, the 1D coupled rotator lattice has a bounded interaction potential energy. Recently, the 1D coupled rotator lattice with additional bounded kinetic energy has also been found to exhibit normal heat conduction. Here, we study energy diffusion in the 1D momentum-conserving lattice with bounded kinetic energy only. We find that this lattice exhibits normal energy diffusion as well as normal stretch diffusion. This work indicates that bounded energy, whether kinetic or potential, is crucial for normal energy diffusion and heat conduction in 1D momentum-conserving nonlinear lattices.

关键词: heat conduction, nonlinear dynamics

Abstract: One-dimensional (1D) nonlinear lattices that conserve momentum exhibit anomalous heat conduction, except for the specific case of the 1D coupled rotator lattice. Unlike classical interacting 1D nonlinear lattices such as the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) lattice, the 1D coupled rotator lattice has a bounded interaction potential energy. Recently, the 1D coupled rotator lattice with additional bounded kinetic energy has also been found to exhibit normal heat conduction. Here, we study energy diffusion in the 1D momentum-conserving lattice with bounded kinetic energy only. We find that this lattice exhibits normal energy diffusion as well as normal stretch diffusion. This work indicates that bounded energy, whether kinetic or potential, is crucial for normal energy diffusion and heat conduction in 1D momentum-conserving nonlinear lattices.

Key words: heat conduction, nonlinear dynamics

中图分类号: (Heat conduction)

44.10.+i

05.45.-a (Nonlinear dynamics and chaos)

Hongbin Chen(陈宏斌), Qin-Yi Zhang(张钦奕), Jiahui Wang(王佳惠), Nianbei Li(李念北), and Jie Chen(陈杰). Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy[J]. 中国物理B, 2025, 34(9): 94401-094401.

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Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy

Normal energy and stretch diffusion in a one-dimensional momentum conserving lattice with nonlinear bounded kinetic energy

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