THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN

Cedric Bernardin (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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.

Mots clés: Non-equilibrium statistical mechanics; Green-Kubo; homogenization

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Probabilités [math.PR]

Cedric Bernardin. THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN. 2008. ⟨ensl-00309070⟩