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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Format: | Article |
Language: | English |
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IOP Publishing
2018-01-01
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Series: | New Journal of Physics |
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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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id | doaj.art-d962e1f750914c2fa2c7959c0efbadcf |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:37:55Z |
publishDate | 2018-01-01 |
publisher | IOP Publishing |
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series | New Journal of Physics |
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 |
work_keys_str_mv | AT nianbeili temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices AT junjieliu temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices AT changqinwu temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices AT baowenli temperatureandfrequencydependentmeanfreepathsofrenormalizedphononsinnonlinearlattices |