On "Universal" Correlations in Disordered and Chaotic Systems

Abstract

Numerical study of the parametric motion of energy levels in a model system built on Random Matrix Theory is presented. The correlation function of levels' slopes (the so called velocity correlation function) is determined numerically and compared with its limiting analytic form when available. A simple analytic form of the velocity correlation function is proposed which very well reproduces numerical data. The results should be directly applicable in studies of chaotic or mesoscopic systems.

14 pages, Revtex 3.0 + 3 .ps figures tar-compressed using uufiles package, use csh to unpack (on Unix machine), to be published in Zeitschrift fuer PhysiK B: Cond. Mat

Cited by in corpus (4)

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• Parametric Spectral Statistics in Unitary Random Matrix Ensembles: From Distribution Functions to Intra-Level Correlations
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