Dynamic localization of Lyapunov vectors in Hamiltonian lattices
Anno: 2001
Autori: Pikovsky A., Politi A.
Affiliazione autori: Department of Physics, University of Potsdam, Am Neuen Palais PF 601553, 144615 Potsdam, Germany;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, Unità di Firenze, Italy
Abstract: The convergence of the Lyapunov vector toward its asymptotic shape is investigated in two different one-dimensional Hamiltonian lattices: the so-called Fermi-Pasta-Ulam and Phi (4) chains. In both casts, we find an anomalous behavior, i.e., a clear difference from the previously conjectured analogy with the Kardar-Parisi-Zhang equation. The origin of the discrepancy is eventually traced back to the existence of nontrivial long-range correlations both in space and time. As a consequence of this anomaly, we find that, in a Hamiltonian lattice, the largest Lyapunov exponent is affected by stronger finite-size corrections than standard space-time chaos.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 63 (3) Da Pagina: 036207-1 A: 036207-9
Parole chiavi: DIRECTED POLYMERS; INTERFACES; SYSTEMS; GROWTH; CHAOSDOI: 10.1103/PhysRevE.63.036207Citazioni: 29dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui