Towards a Non-extensive Random Matrix Theory

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dc.creatorEvans, John
dc.creatorMichael, Fredrick
dc.date2002-07-19
dc.date2002-07-31
dc.date.accessioned2026-07-07T02:46:21Z
dc.date.available2026-07-07T02:46:21Z
dc.descriptionIn 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.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0207472
dc.identifierhttp://arxiv.org/abs/cond-mat/0207472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19639
dc.subjectStatistical Mechanics
dc.titleTowards a Non-extensive Random Matrix Theory
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