Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs

被引：12

作者：

Falcao, R. ^{[1
]}

Neto, A. Francisco

Pereira, E. ^{[2
]}

机构：

[1] UFRB Amargosa, Ctr Formacao Prof, Amargosa, BA, Brazil

[2] Univ Fed Minas Gerais, Dept Fis ICEx, Belo Horizonte, MG, Brazil

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2008年 / 156卷 / 01期

关键词：

harmonic crystal; anharmonic crystal; stochastic reservoirs; heat flow;

D O I：

10.1007/s11232-008-0100-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the harmonic and anharmonic chains of oscillators with self-consistent stochastic reservoirs and derive an integral representation (a la Feynman-Kac) for the correlations, in particular, for the heat flow. For the harmonic chain, we give a new proof that its thermal conductivity is finite in the steady state. Based on this integral representation for the correlations and a perturbative analysis, the approach is quite general and can be extended to more intricate systems.

引用

页码：1081 / 1088

页数：8

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