Thermal Conductivity for a Noisy Disordered Harmonic Chain

被引：14

作者：

Bernardin, Cedric ^{[1
,2
]}

机构：

[1] Univ Lyon, F-69364 Lyon 07, France

[2] Ecole Normale Super Lyon, CNRS, UMR 5669, UMPA, F-69364 Lyon 07, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2008年 / 133卷 / 03期

关键词：

Thermal conductivity; Green-Kubo formula; Non-equilibrium systems; Disordered systems;

D O I：

10.1007/s10955-008-9620-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a d-dimensional disordered harmonic chain (DHC) perturbed by an energy conservative noise. We obtain uniform in the volume upper and lower bounds for the thermal conductivity defined through the Green-Kubo formula. These bounds indicate a positive finite conductivity. We prove also that the infinite volume homogenized Green-Kubo formula converges.

引用

页码：417 / 433

页数：17

共 21 条

[1] Energy transport in weakly anharmonic chains [J].

Aoki, Kenichiro ;

Lukkarinen, Jani ;

Spohn, Herbert .

JOURNAL OF STATISTICAL PHYSICS, 2006, 124 (05) :1105-1129

[2] Anomalous transport and relaxation in classical one-dimensional models [J].

Basile, G. ;

Delfini, L. ;

Lepri, S. ;

Livi, R. ;

Olla, S. ;

Politi, A. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2007, 151 (1) :85-93

[3]

BASILE G, 2008, COMMUN MATH IN PRESS

[4] Momentum conserving model with anomalous thermal conductivity in low dimensional systems [J].

Basile, Giada ;

Bernardin, Cedric ;

Olla, Stefano .

PHYSICAL REVIEW LETTERS, 2006, 96 (20)

[5] Homogenization of Ornstein-Uhlenbeck process in random environment [J].

Benabou, Gael .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 266 (03) :699-714

[6] Fourier's law for a microscopic model of heat conduction [J].

Bernardin, C ;

Olla, S .

JOURNAL OF STATISTICAL PHYSICS, 2005, 121 (3-4) :271-289

[7] Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise [J].

Bernardin, Cedric .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2007, 117 (04) :487-513

[8] Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs [J].

Bonetto, F ;

Lebowitz, JL ;

Lukkarinen, J .

JOURNAL OF STATISTICAL PHYSICS, 2004, 116 (1-4) :783-813

[9]

BONETTO F, COMMUNICATION

[10] Towards a derivation of fourier's law for coupled anharmonic oscillators [J].

Bricmont, Jean ;

Kupiainen, Antti .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 274 (03) :555-626

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