On "Universal" Correlations in Disordered and Chaotic Systems

Details On "Universal" Correlations in Disordered and Chaotic Systems On "Universal" Correlations in Disordered and Chaotic Systems

1995-01-27

arxiv.org/abs/chao-dyn/9501014v1

Z. Phys. B98, 273 (1995)

Nonlinear Sciences

Chaotic Dynamics

14 pages, Revtex 3.0 + 3 .ps figures tar-compressed using uufiles package, use csh to unpack (on Unix machine), to be publishe

Scientific paper

10.1007/BF01324533

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.

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