Ergodicity Breaking in a Deterministic Dynamical System
| dc.creator | Bel, Golan | |
| dc.creator | Barkai, Eli | |
| dc.date | 2005-07-17 | |
| dc.date | 2006-11-07 | |
| dc.date.accessioned | 2026-07-07T06:43:14Z | |
| dc.date.available | 2026-07-07T06:43:14Z | |
| dc.description | The concept of weak ergodicity breaking is defined and studied in the context of deterministic dynamics. We show that weak ergodicity breaking describes a weakly chaotic dynamical system: a nonlinear map which generates subdiffusion deterministically. In the non-ergodic phase non-trivial distribution of the fraction of occupation times is obtained. The visitation fraction remains uniform even in the non-ergodic phase. In this sense the non-ergodicity is quantified, leading to a statistical mechanical description of the system even though it is not ergodic. | |
| dc.description | 11 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0507036 | |
| dc.identifier | http://arxiv.org/abs/nlin/0507036 | |
| dc.identifier | Europhys. Lett., 74 (1), pp. 15-21 (2006) | |
| dc.identifier | doi:10.1209/epl/i2005-10501-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102341 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Ergodicity Breaking in a Deterministic Dynamical System | |
| dc.type | text |