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热整流的成分:经典和量子自洽谐振子链的情况。

Ingredients of thermal rectification: the case of classical and quantum self-consistent harmonic chains of oscillators.

作者信息

Pereira Emmanuel, Lemos Humberto C F, Ávila Ricardo R

机构信息

Departamento de Física-ICEx, UFMG, CP 702, 30.161-970 Belo Horizonte Minas Gerais, Brazil.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 1):061135. doi: 10.1103/PhysRevE.84.061135. Epub 2011 Dec 20.

DOI:10.1103/PhysRevE.84.061135
PMID:22304068
Abstract

In order to identify the ingredients of thermal rectification, we analytically investigate the heat flow in the asymmetric classical and quantum self-consistent harmonic chains of oscillators. We confirm the absence of rectification in the classical version of the model, and, for the quantum analog, we show that the combination of a local heat flow proportional to the temperature gradient and a local thermal conductivity dependent on parameters asymmetrically distributed in the chain and on the local temperature lead to thermal rectification. Some of these ingredients are provided by the quantum nature of the specific model analyzed here, but they are not restricted to quantum phenomena and can also appear in anharmonic classical models. The comprehension of such mechanism is important for the advance of phononics, since thermal rectifiers are the basic components of several devices proposed to control the heat flow.

摘要

为了确定热整流的成分,我们对非对称经典和量子自洽简谐振子链中的热流进行了分析研究。我们证实了该模型的经典版本中不存在整流现象,而对于量子类似物,我们表明与温度梯度成正比的局部热流以及依赖于链中不对称分布的参数和局部温度的局部热导率相结合会导致热整流。这里分析的特定模型的量子性质提供了其中一些成分,但它们并不局限于量子现象,也可能出现在非谐经典模型中。对这种机制的理解对于声子学的发展很重要,因为热整流器是提出的几种控制热流的器件的基本组件。

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