Instabilities and relaxation to equilibrium in long-range oscillator chains

George Miloshevich 1, 2 Jean-Pierre Nguenang Thierry Dauxois 3 Ramaz Khomeriki 4, 2 Stefano Ruffo 5
1 Department of Physics
2 Department of Physics
3 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
4 MPIPKS
5 Dipartimento di Fisica e Astronomia and CSDC
Abstract : We study instabilities and relaxation to equilibrium in a long-range extension of the Fermi-Pasta-Ulam-Tsingou (FPU) oscillator chain by exciting initially the lowest Fourier mode. Localization in mode space is stronger for the long-range FPU model. This allows us to uncover the sporadic nature of instabilities, i.e., by varying initially the excitation amplitude of the lowest mode, which is the control parameter, instabilities occur in narrow amplitude intervals. Only for sufficiently large values of the amplitude, the system enters a permanently unstable regime. These findings also clarify the long-standing problem of the relaxation to equilibrium in the short-range FPU model. Because of the weaker localization in mode space of this latter model, the transfer of energy is retarded and relaxation occurs on a much longer time-scale.
Type de document :
Article dans une revue
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91, pp.032927. 〈10.1103/PhysRevE.91.032927〉
Liste complète des métadonnées
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01136811
Contributeur : Thierry Dauxois <>
Soumis le : samedi 28 mars 2015 - 19:20:59
Dernière modification le : jeudi 19 avril 2018 - 14:54:04

Lien texte intégral

arxiv

Identifiants

Collections

ENS-LYON | UNIV-LYON1

Citation

George Miloshevich, Jean-Pierre Nguenang, Thierry Dauxois, Ramaz Khomeriki, Stefano Ruffo. Instabilities and relaxation to equilibrium in long-range oscillator chains. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91, pp.032927. 〈10.1103/PhysRevE.91.032927〉. 〈ensl-01136811〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

42

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD