Effective phonons in anharmonic lattices: anomalous vs normal heat conduction

Details Effective phonons in anharmonic lattices: anomalous vs normal heat conduction Effective phonons in anharmonic lattices: anomalous vs normal heat conduction

2006-06-23

arxiv.org/abs/cond-mat/0606601v1

Europhys. Lett 75, 49-55 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages 4 figures

Scientific paper

10.1209/epl/i2006-10079-7

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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