Thermal Conductivity for a Noisy Disordered Harmonic Chain
Statistical Mechanics
2009-11-13 v1 Mathematical Physics
math.MP
Probability
Abstract
We consider a -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.
Cite
@article{arxiv.0808.0660,
title = {Thermal Conductivity for a Noisy Disordered Harmonic Chain},
author = {Cedric Bernardin},
journal= {arXiv preprint arXiv:0808.0660},
year = {2009}
}