Nonextensive random-matrix theory based on Kaniadakis entropy
| dc.creator | Abul-Magd, A. Y. | |
| dc.date | 2006-09-19 | |
| dc.date.accessioned | 2026-07-07T07:38:45Z | |
| dc.date.available | 2026-07-07T07:38:45Z | |
| dc.description | The joint eigenvalue distributions of random-matrix ensembles are derived by applying the principle maximum entropy to the Renyi, Abe and Kaniadakis entropies. While the Renyi entropy produces essentially the same matrix-element distributions as the previously obtained expression by using the Tsallis entropy, and the Abe entropy does not lead to a closed form expression, the Kaniadakis entropy leads to a new generalized form of the Wigner surmise that describes a transition of the spacing distribution from chaos to order. This expression is compared with the corresponding expression obtained by assuming Tsallis' entropy as well as the results of a previous numerical experiment. | |
| dc.description | 10 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0609473 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0609473 | |
| dc.identifier | Phys. Lett. A 361, 450 (2007) | |
| dc.identifier | doi:10.1016/j.physleta.2006.09.080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121203 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Nonextensive random-matrix theory based on Kaniadakis entropy | |
| dc.type | text |