Lyapunov Instability for a hard-disk fluid in equilibrium and nonequilibrium thermostated by deterministic scattering
| dc.creator | Wagner, C. | |
| dc.date | 2000-01-10 | |
| dc.date.accessioned | 2026-07-07T05:32:36Z | |
| dc.date.available | 2026-07-07T05:32:36Z | |
| dc.description | We compute the full Lyapunov spectra for a hard-disk fluid under temperature gradient and shear. The system is thermalized by deterministic and time-reversible scattering at the boundary. This thermostating mechanism allows for energy fluctuations around a mean value which is reflected by only two vanishing Lyapunov exponents in equilibrium and nonequilibrium. The Lyapunov exponents are calculated with a recently developed formalism for systems with elastic hard collisions. In a nonequilibrium steady state the average phase space volume is contracted onto a fractal attractor leading to a negative sum of Lyapunov exponents. Since the system is driven inhomogeneously we do not expect the conjugate pairing rule to hold which is confirmed numerically. | |
| dc.description | 13 pages (revtex) with 8 figures (encapsulated postscript) | |
| dc.identifier | https://arxiv.org/abs/nlin/0001011 | |
| dc.identifier | http://arxiv.org/abs/nlin/0001011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79714 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Lyapunov Instability for a hard-disk fluid in equilibrium and nonequilibrium thermostated by deterministic scattering | |
| dc.type | text |