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## THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN

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Cedric Bernardin

#### Abstract

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.

### Dates and versions

ensl-00309070 , version 1 (05-08-2008)

### Identifiers

• HAL Id : ensl-00309070 , version 1
• ARXIV :

### Cite

Cedric Bernardin. THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN. 2008. ⟨ensl-00309070⟩

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