Scaling theory of heat transport in quasi-one-dimensional disordered harmonic chains

被引：10

作者：

Bodyfelt, Joshua D. ^{[1
]}

Zheng, Mei C. ^{[1
,2
]}

Fleischmann, Ragnar ^{[3
]}

Kottos, Tsampikos ^{[1
,3
]}

机构：

[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA

[2] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

[3] Max Planck Inst Dynam & Self Org MPIDS, D-37077 Gottingen, Germany

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 02期

基金：

美国国家科学基金会;

关键词：

BAND RANDOM MATRICES; ANDERSON LOCALIZATION; LYAPUNOV SPECTRA; CONDUCTION; DIFFUSION; FLOW;

D O I：

10.1103/PhysRevE.87.020101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We introduce a variant of the banded random matrix ensemble and show, using detailed numerical analysis and theoretical arguments, that the phonon heat current in disordered quasi-one-dimensional lattices obeys a one-parameter scaling law. The resulting beta function indicates that an anomalous Fourier law is applicable in the diffusive regime, while in the localization regime the heat current decays exponentially with the sample size. Our approach opens a new way to investigate the effects of Anderson localization in heat conduction based on the powerful ideas of scaling theory. DOI: 10.1103/PhysRevE.87.020101

引用

页数：5

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