Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices

Details Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices

1998-01-21

arxiv.org/abs/cond-mat/9801223v1

Journ. Phys. C, 10 (1998) 5965

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages in LaTex and 5 Postscript figures

Scientific paper

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.

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