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Thermal Conductivity for a Noisy Disordered Harmonic Chain

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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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Authors and Affiliations

  1. Université de Lyon and CNRS, UMPA, UMR-CNRS 5669, ENS-Lyon, 46, allée d’Italie, 69364, Lyon Cedex 07, France

    Cédric Bernardin

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  1. Cédric Bernardin
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Correspondence to Cédric Bernardin.

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Bernardin, C. Thermal Conductivity for a Noisy Disordered Harmonic Chain. J Stat Phys 133, 417–433 (2008). https://doi.org/10.1007/s10955-008-9620-1

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  • DOI: https://doi.org/10.1007/s10955-008-9620-1

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