Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 1998
- DOI:
- 10.48550/arXiv.cond-mat/9801223
- arXiv:
- arXiv:cond-mat/9801223
- Bibcode:
- 1998cond.mat..1223K
- Keywords:
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- Disordered Systems and Neural Networks
- E-Print:
- 13 pages in LaTex and 5 Postscript figures