Level statistics for two-dimensional oscillators
| dc.creator | El-Hady, A. Abd | |
| dc.creator | Abul-Magd, A. Y. | |
| dc.date | 2006-05-25 | |
| dc.date.accessioned | 2026-07-07T07:09:12Z | |
| dc.date.available | 2026-07-07T07:09:12Z | |
| dc.description | We consider the level statistics of two-dimensional harmonic oscillators with incommensurable frequencies, which are known to have picket-fence type spectra. We propose a parametric representation for the level-spacing distribution and level-number variance, and study the variation of the parameters with the frequency ratio and the size of the spectra. By introducing an anharmonic perturbation, we observe a gradual transition to the Poisson statistics. We describe the level spectra in transition from harmonic to Poissonian statistics as a superposition of two independent sequences, one for each of the two extreme statistics. We show that this transition provides a suitable description for the evolution of the spectrum of a disordered chain with increasing long range correlations between the lattice sites. | |
| dc.description | 13 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605628 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605628 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110972 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Level statistics for two-dimensional oscillators | |
| dc.type | text |