Thermal Conductivity for a Noisy Disordered Harmonic Chain

Details Thermal Conductivity for a Noisy Disordered Harmonic Chain Thermal Conductivity for a Noisy Disordered Harmonic Chain

2008-08-05

arxiv.org/abs/0808.0660v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s10955-008-9620-1

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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