Thermal conductivity of the Toda lattice with conservative noise

IACOBUCCI ; LEGOLL ; OLLA ; STOLTZ

Type de document
ARTICLE A COMITE DE LECTURE REPERTORIE DANS BDI (ACL)
Langue
anglais
Auteur
IACOBUCCI ; LEGOLL ; OLLA ; STOLTZ
Résumé / Abstract
We study the thermal conductivity of the one dimensional Toda lattice perturbed by a stochastic dynamics preserving energy and momentum. The strength of the stochastic noise is controlled by a parameter $gamma$. We show that heat transport is anomalous, and that the thermal conductivity diverges with the length $n$ of the chain according to $kappa(n) sim n^alpha$, with $0 < alpha leq 1/2$. In particular, the ballistic heat conduction of the unperturbed Toda chain is destroyed. Besides, the exponent $alpha$ of the divergence depends on $gamma$.
Source