Nonuniversality in level dynamics

Details Nonuniversality in level dynamics Nonuniversality in level dynamics

1996-11-28

arxiv.org/abs/chao-dyn/9611019v1

Phys. Rev. E55 1997 2446

Nonlinear Sciences

Chaotic Dynamics

24 pages + 10 figures (not included, avaliable from the author), submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.55.2446

Statistical properties of parametric motion in ensembles of Hermitian banded random matrices are studied. We analyze the distribution of level velocities and level curvatures as well as their correlation functions in the crossover regime between three universality classes. It is shown that the statistical properties of level dynamics are in general non-universal and strongly depend on the way in which the parametric dynamics is introduced.

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