Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2018

Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions

Résumé

We study the dynamics of Fermi-Pasta-Ulam (FPU) one-dimensional models with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a generalized Boussinesq fractional differential equation, whose derivation is performed in full detail. We also discuss a version of the model where couplings are alternating in sign.
Fichier principal
Vignette du fichier
Chendjou_Ramaz_Andrea_Thierry.pdf (297.31 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01900292 , version 1 (07-11-2020)

Identifiants

Citer

Gervais Nazaire Beukam Chendjou, Jean Pierre Nguenang, Andrea Trombettoni, Thierry Dauxois, Ramaz Khomeriki, et al.. Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions. Communications in Nonlinear Science and Numerical Simulation, 2018, 60, pp.115 - 127. ⟨10.1016/j.cnsns.2018.01.006⟩. ⟨hal-01900292⟩
45 Consultations
63 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More