Poisson-to-Wigner crossover transition in the nearest-neighbor spacing statistics of random points on fractals
| dc.creator | Sakhr, Jamal | |
| dc.creator | Nieminen, John M. | |
| dc.date | 2005-11-21 | |
| dc.date.accessioned | 2026-07-07T06:52:00Z | |
| dc.date.available | 2026-07-07T06:52:00Z | |
| dc.description | We show that the nearest-neighbor spacing distribution for a model that consists of random points uniformly distributed on a self-similar fractal is the Brody distribution of random matrix theory. In the usual context of Hamiltonian systems, the Brody parameter does not have a definite physical meaning, but in the model considered here, the Brody parameter is actually the fractal dimension. Exploiting this result, we introduce a new model for a crossover transition between Poisson and Wigner statistics: random points on a continuous family of self-similar curves with fractal dimension between 1 and 2. The implications to quantum chaos are discussed, and a connection to conservative classical chaos is introduced. | |
| dc.description | Low-resolution figure is included here. Full resolution image available (upon request) from the authors | |
| dc.identifier | https://arxiv.org/abs/nlin/0511042 | |
| dc.identifier | http://arxiv.org/abs/nlin/0511042 | |
| dc.identifier | Phys. Rev. E 72, 045204(R) (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.72.045204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105173 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Poisson-to-Wigner crossover transition in the nearest-neighbor spacing statistics of random points on fractals | |
| dc.type | text |