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Article overview
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Effective phonons in anharmonic lattices: anomalous vs normal heat conduction | Nianbei Li
; Peiqing Tong
; Baowen Li
; | Date: |
23 Jun 2006 | Journal: | Europhys. Lett 75, 49-55 (2006) | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | 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 Frenkel-Kontorova model and the $phi^4$ model etc. | Source: | arXiv, cond-mat/0606601 | Services: | Forum | Review | PDF | Favorites |
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