Dynamic localization of Lyapunov vectors in Hamiltonian lattices

A Pikovsky, A Politi

Research output: Contribution to journalArticle

31 Citations (Scopus)

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.

Original languageEnglish
Article number036207
Pages (from-to)-
Number of pages9
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume6303
Issue number3
Publication statusPublished - Mar 2001

Keywords

  • DIRECTED POLYMERS
  • INTERFACES
  • SYSTEMS
  • GROWTH
  • FLOWS
  • CHAOS

Cite this

Dynamic localization of Lyapunov vectors in Hamiltonian lattices. / Pikovsky, A ; Politi, A .

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 6303, No. 3, 036207, 03.2001, p. -.

Research output: Contribution to journalArticle

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AB - 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.

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