Scaling theory of heat transport in quasi-one-dimensional disordered harmonic chains.
Scaling theory of heat transport in quasi-one-dimensional disordered harmonic chains.
复制标题
准一维无序调和链中热传输的标度理论
DOI：
10.1103/physreve.87.020101
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
T. Kottos
中科院分区：
文献类型：
--
作者：
J. D. Bodyfelt;M. C. Zheng;R. Fleischmann;T. Kottos
我们介绍了一个变种的带状随机矩阵合奏，并显示，使用详细的数值分析和理论论证，在无序准一维晶格的声子热流服从一个参数标度律。结果表明，反常傅立叶定律适用于扩散制度，而在本地化制度的热流衰减与样品尺寸呈指数关系。基于标度理论的强大思想，我们的方法为研究热传导中的安德森局域化效应开辟了一条新的途径。
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 resultingfunction 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.