Thermal Conductivity for a Noisy Disordered Harmonic Chain
Abstract
We consider a ddimensional 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 GreenKubo formula. These bounds indicate a positive finite conductivity. We prove also that the infinite volume homogenized GreenKubo formula converges.
 Publication:

Journal of Statistical Physics
 Pub Date:
 November 2008
 DOI:
 10.1007/s1095500896201
 arXiv:
 arXiv:0808.0660
 Bibcode:
 2008JSP...133..417B
 Keywords:

 Thermal conductivity;
 GreenKubo formula;
 Nonequilibrium systems;
 Disordered systems;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics;
 Mathematics  Probability
 EPrint:
 doi:10.1007/s1095500896201