# THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN

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.
Keywords :
Document type :
Preprints, Working Papers, ...
Domain :

Cited literature [20 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00309070
Contributor : Cedric Bernardin <>
Submitted on : Tuesday, August 5, 2008 - 3:10:50 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM
Long-term archiving on : Thursday, June 3, 2010 - 5:53:08 PM

### Files

random-masses2.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : ensl-00309070, version 1
• ARXIV : 0808.0660

### Citation

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

Record views