Journal
EUROPHYSICS LETTERS
Volume 75, Issue 1, Pages 49-55Publisher
EDP SCIENCES S A
DOI: 10.1209/epl/i2006-10079-7
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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 phi(4) model etc.
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