Asymptotic localization of energy in Nondisordered oscillator chains - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications on Pure and Applied Mathematics Année : 2014

Asymptotic localization of energy in Nondisordered oscillator chains

Résumé

We study two popular one-dimensional chains of classical anharmonic oscillators: the rotor chain and a version of the discrete non-linear Schrödinger chain. We assume that the interaction between neighboring oscillators, controlled by the parameter ϵ>0, is small. We rigorously establish that the thermal conductivity of the chains has a non-perturbative origin, with respect to the coupling constant ϵ, and we provide strong evidence that it decays faster than any power law in ϵ as ϵ→0. The weak coupling regime also translates into a high temperature regime, suggesting that the conductivity vanishes faster than any power of the inverse temperature.
Fichier principal
Vignette du fichier
Classical_Anharmonic_Chain_Revised_v2.pdf (493.17 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01069777 , version 1 (08-01-2015)

Identifiants

Citer

Wojciech de Roeck, François Huveneers. Asymptotic localization of energy in Nondisordered oscillator chains. Communications on Pure and Applied Mathematics, 2014, Early View (DOI: 10.1002/cpa.21550). ⟨10.1002/cpa.21550⟩. ⟨hal-01069777⟩
90 Consultations
50 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More