Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices.
作者信息
Romero-Bastida M, Pazó Diego, López Juan M
机构信息
SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Distrito Federal 04430, Mexico.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 2):026210. doi: 10.1103/PhysRevE.85.026210. Epub 2012 Feb 21.
PMID:22463302
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.
摘要
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