Random matrix theory within superstatistics
Statistical Mechanics
2007-05-23 v1
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 system in transition from order to chaos. The calculated spacing distribution fits the resonance statistics of random binary networks obtained in a recent numerical experiment.
Cite
@article{arxiv.cond-mat/0510494,
title = {Random matrix theory within superstatistics},
author = {A. Y. Abul-Magd},
journal= {arXiv preprint arXiv:cond-mat/0510494},
year = {2007}
}
Comments
20 pages, 6 figures