Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

Pazó Bueno, Diego Santiago; Romero Bastida, Mauricio; López Martín, Juan Manuel

doi:10.1103/PhysRevE.85.026210

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CovariantHydrodynami ... (293.8Kb)

Identificadores

URI: https://hdl.handle.net/10902/26567

DOI: 10.1103/PhysRevE.85.026210

ISSN: 1539-3755

ISSN: 1550-2376

ISSN: 2470-0045

ISSN: 2470-0053

Fecha

2012

Derechos

Publicado en

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.85, 026210 (2012)

Editorial

American Physical Society

Enlace a la publicación

http://doi.org/10.1103/PhysRevE.85.026210

Resumen/Abstract

We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show that, in contrast with previous claims, HLMs do exist for any energy density, so that strong chaos is not essential for the appearance of genuine (covariant) HLMs. In contrast, Gram-Schmidt Lyapunov vectors lead to misleading results concerning the existence of HLMs in the case of weak chaos.