Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

Details Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

2012-02-15

arxiv.org/abs/1202.3476v1

Physical Review E 85, 026210 (February 2012)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures. Accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.85.026210

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.

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