Random matrix theory within superstatistics

Faculty Science Year: 2005
Type of Publication: Article Pages:
Authors: DOI: 10.1103/PhysRevE.72.066114
Journal: PHYSICAL REVIEW E AMERICAN PHYSICAL SOC Volume: 72
Research Area: Physics ISSN ISI:000235065000023
Keywords : Random matrix theory within superstatistics    
Abstract:
We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted averages of the corresponding quantities in the standard theory assuming that the mean level spacing itself is a stochastic variable. We illustrate the method by calculating the level density, the nearest-neighbor-spacing distributions, and the two-level correlation functions for systems in transition from order to chaos. The calculated spacing distribution fits the resonance statistics of random binary networks obtained in a recent numerical experiment.
   
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