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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• A momentum conserving model with anomalous thermal conductivity in low dimension
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Effect of phonon-phonon interactions on localization
• Energy Transport in Weakly Anharmonic Chains
• Anomalous energy transport in the FPU-beta chain