Nonextensive random-matrix theory based on Kaniadakis entropy
统计力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.cond-mat/0609473,
title = {Nonextensive random-matrix theory based on Kaniadakis entropy},
author = {A. Y. Abul-Magd},
journal= {arXiv preprint arXiv:cond-mat/0609473},
year = {2007}
}
备注
10 pages, 2 figures