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arxiv: 0808.0660 · v1 · submitted 2008-08-05 · ❄️ cond-mat.stat-mech · math-ph· math.MP· math.PR

Thermal Conductivity for a Noisy Disordered Harmonic Chain

classification ❄️ cond-mat.stat-mech math-phmath.MPmath.PR
keywords conductivityboundschaindisorderedformulagreen-kuboharmonicthermal
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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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