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# 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.
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Cited literature [20 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00309070
Contributor : Cedric Bernardin Connect in order to contact the contributor
Submitted on : Tuesday, August 5, 2008 - 3:10:50 PM
Last modification on : Wednesday, September 8, 2021 - 1:50:22 PM
Long-term archiving on: : Thursday, June 3, 2010 - 5:53:08 PM

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random-masses2.pdf
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### Identifiers

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

### Citation

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

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