Covariant Lyapunov vectors for rigid disk systems

Autor(en)

Hadrien Bosetti, Harald Posch

Abstrakt

We carry out extensive computer simulations to study the Lyapunov instability of a two-dimensional hard-disk system in a rectangular box with periodic boundary conditions. The system is large enough to allow the formation of Lyapunov modes parallel to the x-axis of the box. The Oseledec splitting into covariant subspaces of the tangent space is considered by computing the full set of covariant perturbation vectors co-moving with the flow in tangent space. These vectors are shown to be transversal, but generally not orthogonal to each other. Only the angle between covariant vectors associated with immediate adjacent Lyapunov exponents in the Lyapunov spectrum may become small, but the probability of this angle to vanish approaches zero. The stable and unstable manifolds are transverse to each other and the system is hyperbolic.

Organisation(en)

Computergestützte Physik und Physik der Weichen Materie

Journal

Chemical Physics

Band

375

Seiten

296-308

Anzahl der Seiten

13

ISSN

0301-0104

DOI

https://doi.org/10.1016/j.chemphys.2010.06.010

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103008 Experimentalphysik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0fe66db6-094d-49a7-a3c6-c0c6857c9479