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Random matrix theory within superstatistics
Faculty
Science
Year:
2005
Type of Publication:
Article
Pages:
Authors:
Abul-Magd, AY
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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