Lyapunov modes in hard-disk systems
- Author(s)
- Jean Pierre Eckmann, Christina Forster, Harald Posch, Emmanuel Zabey
- Abstract
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(s)
- Computational and Soft Matter Physics
- External organisation(s)
- Université de Genève
- Journal
- Journal of Statistical Physics
- Volume
- 118
- Pages
- 813-847
- No. of pages
- 35
- ISSN
- 0022-4715
- DOI
- https://doi.org/10.1007/s10955-004-2687-4
- Publication date
- 2005
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/03ada020-21f4-44f6-925c-d0b22719ce39