Towards a Non-extensive Random Matrix Theory
统计力学
2007-05-23 v3
摘要
In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parametrized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian orthogonal ensemble (GOE) results are recovered. The relevant level spacing distribution is derived and one obtains a suitably generalized nonextensive Wigner distribution which depends on the value of the tunable non-extensivity parameter q. This non-extensive Wigner distribution can be seen to be a one-parameter level-spacing distribution that allows one to interpolate between chaotic and nearly integrable regimes.
引用
@article{arxiv.cond-mat/0207472,
title = {Towards a Non-extensive Random Matrix Theory},
author = {John Evans and Fredrick Michael},
journal= {arXiv preprint arXiv:cond-mat/0207472},
year = {2007}
}
备注
9 pages, 3 figures