Lyapunov modes in soft-disk systems
| dc.creator | Forster, Christina | |
| dc.creator | Posch, Harald A. | |
| dc.date | 2004-09-09 | |
| dc.date.accessioned | 2026-07-07T05:35:57Z | |
| dc.date.available | 2026-07-07T05:35:57Z | |
| dc.description | 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 that the momentum perturbations are simultaneously required for their characterization. | |
| dc.description | 26 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0409019 | |
| dc.identifier | http://arxiv.org/abs/nlin/0409019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80829 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Lyapunov modes in soft-disk systems | |
| dc.type | text |