Random matrix theory within superstatistics
| dc.creator | Abul-Magd, A. Y. | |
| dc.date | 2005-10-19 | |
| dc.date.accessioned | 2026-07-07T06:44:33Z | |
| dc.date.available | 2026-07-07T06:44:33Z | |
| dc.description | We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted averages of the corresponding quantities in the standard theory assuming that the mean level spacing itself is a stochastic variable. We illustrate the method by calculating the level density, the nearest-neighbor-spacing distributions and the two-level correlation functions for system in transition from order to chaos. The calculated spacing distribution fits the resonance statistics of random binary networks obtained in a recent numerical experiment. | |
| dc.description | 20 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0510494 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0510494 | |
| dc.identifier | Phys. Rev. E 72,066114 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.72.066114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102810 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Random matrix theory within superstatistics | |
| dc.type | text |