Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices

Unraveling general properties of renormalized phonons are of fundamental relevance to the heat transport in the regime of strong nonlinearity. In this work, we directly study the temperature and frequency dependent mean free path (MFP) of renormalized phonons with the newly developed numerical tunin...

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Main Authors: Nianbei Li, Junjie Liu, Changqin Wu, Baowen Li
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aaa4a8
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author Nianbei Li
Junjie Liu
Changqin Wu
Baowen Li
author_facet Nianbei Li
Junjie Liu
Changqin Wu
Baowen Li
author_sort Nianbei Li
collection DOAJ
description Unraveling general properties of renormalized phonons are of fundamental relevance to the heat transport in the regime of strong nonlinearity. In this work, we directly study the temperature and frequency dependent mean free path (MFP) of renormalized phonons with the newly developed numerical tuning fork method. The typical 1D nonlinear lattices such as Fermi–Pasta–Ulam β lattice and ${\phi }^{4}$ lattice are investigated in detail. Interestingly, it is found that the MFPs are inversely proportional to the frequencies of renormalized phonons rather than the square of phonon frequencies predicted by existing phonon scattering theory.
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spelling doaj.art-d962e1f750914c2fa2c7959c0efbadcf2023-08-08T14:49:43ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120202300610.1088/1367-2630/aaa4a8Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear latticesNianbei Li0https://orcid.org/0000-0002-9151-7675Junjie Liu1Changqin Wu2Baowen Li3Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University , Xiamen 361021, People’s Republic of ChinaSingapore-MIT Alliance for Research and Technology Center, 1 CREATE Way, Singapore 138602, SingaporeState Key Laboratory of Surface Physics and Department of Physics, Fudan University , Shanghai 200433, People’s Republic of ChinaDepartment of Mechanical Engineering, University of Colorado Boulder , CO 80309, United States of AmericaUnraveling general properties of renormalized phonons are of fundamental relevance to the heat transport in the regime of strong nonlinearity. In this work, we directly study the temperature and frequency dependent mean free path (MFP) of renormalized phonons with the newly developed numerical tuning fork method. The typical 1D nonlinear lattices such as Fermi–Pasta–Ulam β lattice and ${\phi }^{4}$ lattice are investigated in detail. Interestingly, it is found that the MFPs are inversely proportional to the frequencies of renormalized phonons rather than the square of phonon frequencies predicted by existing phonon scattering theory.https://doi.org/10.1088/1367-2630/aaa4a8statistical physicsphonon transportnonlinear dynamicsheat conduction
spellingShingle Nianbei Li
Junjie Liu
Changqin Wu
Baowen Li
Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
New Journal of Physics
statistical physics
phonon transport
nonlinear dynamics
heat conduction
title Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
title_full Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
title_fullStr Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
title_full_unstemmed Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
title_short Temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
title_sort temperature and frequency dependent mean free paths of renormalized phonons in nonlinear lattices
topic statistical physics
phonon transport
nonlinear dynamics
heat conduction
url https://doi.org/10.1088/1367-2630/aaa4a8
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AT junjieliu temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices
AT changqinwu temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices
AT baowenli temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices