期刊
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
卷 65, 期 11, 页码 -出版社
SCIENCE PRESS
DOI: 10.1007/s11433-022-1897-0
关键词
phonons; heat conduction; damping rate; renormalization; Fermi-Pasta-Ulam-Tsingou model
资金
- National Natural Science Foundation of China [11975190, 11975189, 12005156, 12047501]
- Natural Science Foundation of Gansu Province [20JR5RA494, 21JR1RE289]
- Innovation Fundfor Colleges and Universities from Department ofEducation ofGansu Province [2020B-169]
- Project ofFuXi Scientific Research Innovation Team, Tianshui Normal University [FXD2020-02]
- Education Project of Open Competition for the Best Candidates from the Department of Education of Gansu Province [2021jyjbgs-06]
This paper studies the relaxation properties of phonons in 1D lattices and finds that asymmetric interparticle interactions lead to larger damping rates of phonons, which follow a power-law relation at low temperatures. This provides insights into understanding anomalous heat conduction in 1D chains and ultra-low phonon heat conduction in certain solids.
The symmetry of interparticle interaction plays an important role in determining the energy transport and diffusion behavior of one-dimensional (1D) lattices, not only in the process of hydrodynamics but also in the process of kinetics. In this paper, we study the relaxation properties of phonons in 1D lattices with asymmetric and symmetric interparticle interactions, exemplified by the famous Fermi-Pasta-Ulam-Tsingou model. Asymmetric interparticle interactions (AIIs) lead to larger damping rates of phonons as compared to symmetric ones in the low-temperature limit, and the difference gradually vanishes when the temperature increases. Moreover, in lattices with AIIs, the dependence of the damping rate Gamma of phonons still follows a power-law on the wave number q, i.e., Gamma similar to q(gamma) for small q. In particular, at low temperatures, AIIs result in gamma approximate to 1, which is out of the predictions of 3/2 <= gamma <= 2 from various theories. Our results provide insights into understanding the anomalous heat conduction observed in 1D chains and ultra-low phonon heat conduction found in certain solids.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据