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Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

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.

 Authorship: Romero-Bastida M., Pazó D., López J.M.,

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

 Publisher: American Physical Society

 Year of publication: 2012

 No. of pages: 4

 Publication type: Article

 DOI: 10.1103/PhysRevE.85.026210

 ISSN: 1539-3755,1550-2376,2470-0045,2470-0053

 Spanish project: FIS2009-12964-C05-05

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