Spectral Statistics: From Disordered to Chaotic Systems
Condensed Matter
2009-10-28 v1 chao-dyn
Chaotic Dynamics
Abstract
The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to extend results obtained in the diffusive regime to general chaotic systems. In particular, the two--point level density correlator and the structure factor for general chaotic systems are calculated and characterized. The behavior of the structure factor around the Heisenberg time is quantitatively described in terms of short periodic orbits.
Keywords
Cite
@article{arxiv.cond-mat/9509102,
title = {Spectral Statistics: From Disordered to Chaotic Systems},
author = {Oded Agam and Boris L. Altshuler and Anton V. Andreev},
journal= {arXiv preprint arXiv:cond-mat/9509102},
year = {2009}
}
Comments
uuencoded file with 1 eps figure, 4 pages