Lyapunov modes in hard-disk systems

Autor(en)

Jean Pierre Eckmann, Christina Forster, Harald Posch, Emmanuel Zabey

Abstrakt

We consider simulations of a two-dimensional gas of hard disks in a rectangular container and study the Lyapunov spectrum near the vanishing Lyapunov exponents. To this spectrum are associated "eigen- directions", called Lyapunov modes. We carefully analyze these modes and show how they are naturally associated with vector fields over the container. We also show that the Lyapunov exponents, and the coupled dynamics of the modes (where it exists) follow linear laws, whose coefficients only depend on the density of the gas, but not on aspect ratio and very little on the boundary conditions. Π2005 Springer Science+Business Media, Inc.

Organisation(en)

Computergestützte Physik und Physik der Weichen Materie

Externe Organisation(en)

Universität Genf

Journal

Journal of Statistical Physics

Band

118

Seiten

813-847

Anzahl der Seiten

35

ISSN

0022-4715

DOI

https://doi.org/10.1007/s10955-004-2687-4

Publikationsdatum

2005

Peer-reviewed

Ja

ÖFOS 2012

1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/03ada020-21f4-44f6-925c-d0b22719ce39