Dynamic localization of Lyapunov vectors in Hamiltonian lattices

Year: 2001

Authors: Pikovsky A., Politi A.

Autors Affiliation: 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.

Journal/Review: PHYSICAL REVIEW E

Volume: 63 (3)      Pages from: 36207-1  to: 36207-9

KeyWords: Directed Polymers; Interfaces; Systems; Growth; Flows; Chaos
DOI: 10.1103/PhysRevE.63.036207

ImpactFactor: 2.235
Citations: 29
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