Effective phonons in anharmonic lattices:: Anomalous vs. normal heat conduction

被引：56

作者：

Li, Nianbei ^{[1
]}

Tong, Peiqing

Li, Baowen

机构：

[1] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore

[2] Natl Univ Singapore, Ctr Computat Sci & Engn, Singapore 117542, Singapore

[3] Nanjing Univ, Lab Modern Acoust, Nanjing 210093, Peoples R China

[4] Nanjing Univ, Inst Acoust, Nanjing 210093, Peoples R China

[5] Nanjing Normal Univ, Dept Phys, Nanjing 210097, Jiangsu, Peoples R China

[6] NUS Grad Sch Integrat Sci & Engn, Singapore 117597, Singapore

来源：

EUROPHYSICS LETTERS | 2006年 / 75卷 / 01期

关键词：

D O I：

10.1209/epl/i2006-10079-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：49 / 55

页数：7

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