Abstract
We study heat conduction in one-dimensional (1D) anharmoniclattices analytically and numerically by using an effective phonontheory. It is found that every effective phonon mode oscillatesquasi-periodically. By weighting the power spectrum of the totalheat flux in the Debye formula, we obtain a unified formalism thatcan explain anomalous heat conduction in momentum conservedlattices without on-site potential and normal heat conduction inlattices with on-site potential. Our results agree very well withnumerical ones for existing models such as the Fermi-Pasta-Ulammodel, the Frenkel-Kontorova model and the ϕ4 model etc.
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