Volume 75, Number 1, July 2006
|Page(s)||49 - 55|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||02 June 2006|
Effective phonons in anharmonic lattices: Anomalous vs. normal heat conduction
Department of Physics and Center for Computational Science and Engineering National University of Singapore - Singapore 117542, Republic of Singapore
2 Department of Physics, Nanjing Normal University Nanjing, Jiangsu 210097, PRC
3 Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University 210093, PRC
4 NUS Graduate School for Integrative Sciences and Engineering Singapore 117597, Republic of Singapore
Corresponding author: email@example.com
Accepted: 11 May 2006
We study heat conduction in one-dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power spectrum of the total heat flux in the Debye formula, we obtain a unified formalism that can explain anomalous heat conduction in momentum conserved lattices without on-site potential and normal heat conduction in lattices with on-site potential. Our results agree very well with numerical ones for existing models such as the Fermi-Pasta-Ulam model, the Frenkel-Kontorova model and the model etc.
PACS: 44.10.+i – Heat conduction / 63.20.-e – Phonons in crystal lattices / 44.05.+e – Analytical and numerical techniques
© EDP Sciences, 2006
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