Resonance phonon approach to phonon relaxation time and mean free path in one-dimensional nonlinear lattices

Physical Review. E
Lubo Xu, Lei Wang

Abstract

We extend a previously proposed resonance phonon approach that is based on the linear response theory. By studying the complex response function in depth, we work out the phonon relaxation time besides the oscillating frequency of the phonons in a few one-dimensional nonlinear lattices. The results in the large wave-number-k regime agree with the expectations of the effective phonon theory. However, in the small-k limit they follow different scaling laws. The phonon mean free path can also be calculated indirectly. It coincides well with that derived from the anharmonic phonon approach. A power-law divergent heat conduction, i.e., the heat conductivity κ depends on lattice length N by κ∼N^{β} with β>0, then is supported for the momentum-conserving lattices. Furthermore, this approach can be applied to diatomic lattices. So obtained relaxation time quantitatively agrees with that from the effective phonon theory. As for the mean free path, the resonance phonon approach can detect both the acoustic and the optical branches, whereas the anharmonic phonon approach can only detect a combined branch, i.e., the acoustic branch for small k and the optical branch for large k.

References

Oct 6, 2000·Physical Review Letters·T Prosen, D K Campbell
Feb 21, 2006·Physical Review Letters·Boris GershgorinDavid Cai
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris GershgorinDavid Cai
Sep 4, 2008·Physical Review Letters·C W ChangA Zettl
Apr 7, 2010·Physical Review Letters·Keiji Saito, Abhishek Dhar
Sep 28, 2010·Physical Review Letters·Nianbei LiSergej Flach
Jan 15, 2011·Physical Review Letters·Lei WangBambi Hu
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nianbei Li, Baowen Li
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lei WangBaowen Li
Mar 4, 2014·Physical Review Letters·Sha LiuBaowen Li
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander V Savin, Yuriy A Kosevich
Apr 17, 2014·Nature Communications·Xiangfan XuBarbaros Özyilmaz
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lei WangHuizhu Zhao
Feb 19, 2015·Nature Communications·Sangyeop LeeGang Chen
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Junjie LiuChangqin Wu
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lei WangLubo Xu

❮ Previous
Next ❯

Citations


❮ Previous
Next ❯

Related Concepts

Related Feeds

Cardiac Conduction System

The cardiac conduction system is a specialized tract of myocardial cells responsible for maintaining normal cardiac rhythm. Discover the latest research on the cardiac conduction system here.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Dahai HeB Hu
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Lei WangBaowen Li
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Nianbei Li, Baowen Li
© 2022 Meta ULC. All rights reserved