Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
The transfer matrix method is applied to quasi one-dimensional and one-dimensional disordered systems with long-range interactions, described by band random matrices. We investigate the convergence properties of the whole Lyapunov spectra of finite samples as a function of the bandwidth and of the sample length. Two different scaling laws are found at the maximal and minimal Lyapunov exponents.
Keywords
Cite
@article{arxiv.cond-mat/9801223,
title = {Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices},
author = {T. Kottos and A. Politi and F. M. Izrailev},
journal= {arXiv preprint arXiv:cond-mat/9801223},
year = {2007}
}
Comments
13 pages in LaTex and 5 Postscript figures