Lyapunov modes in soft-disk fluids
- Author(s)
- Christina Forster, Harald Posch
- Abstract
Lyapunov modes are periodic spatial perturbations of phase-space states of many-particle systems, which are associated with the small positive or negative Lyapunov exponents. Although familiar for hard-particle systems in one, two and three dimensions, they have been difficult to find for soft particles. We present computer simulations for soft-disk systems in two dimensions and demonstrate the existence of the modes, where also Fourier-transformation methods are employed. We discuss some of their properties in comparison with equivalent hard-disk results. The whole range of densities corresponding to fluids is considered. We show that it is not possible to represent the modes by a two-dimensional vector field of the position perturbations alone (as is the case for hard disks), but the momentum perturbations are simultaneously required for their characterization. Œ IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
- Organisation(s)
- Computational and Soft Matter Physics
- Journal
- New Journal of Physics
- Volume
- 7
- No. of pages
- 20
- ISSN
- 1367-2630
- DOI
- https://doi.org/10.1088/1367-2630/7/1/032
- Publication date
- 2005
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/d3adc94c-9a53-42c6-b897-04c7c69ffba4