Please use this identifier to cite or link to this item: https://doi.org/10.1209/epl/i2006-10079-7
Title: Effective phonons in anharmonic lattices: Anomalous vs. normal heat conduction
Authors: Li, N. 
Tong, P. 
Li, B. 
Issue Date: 1-Jul-2006
Citation: Li, N., Tong, P., Li, B. (2006-07-01). Effective phonons in anharmonic lattices: Anomalous vs. normal heat conduction. Europhysics Letters 75 (1) : 49-55. ScholarBank@NUS Repository. https://doi.org/10.1209/epl/i2006-10079-7
Abstract: 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 Prenkel-Kontorova model and the Φ4 model etc. © EDP Sciences.
Source Title: Europhysics Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/96354
ISSN: 02955075
DOI: 10.1209/epl/i2006-10079-7
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