Critical bending point in the Lyapunov localization spectra of many-particle systems
arXiv:nlin/0502032 · doi:10.1016/j.physa.2006.09.017
Abstract
The localization spectra of Lyapunov vectors in many-particle systems at low density exhibit a characteristic bending behavior. It is shown that this behavior is due to a restriction on the maximum number of the most localized Lyapunov vectors determined by the system configuration and mutual orthogonality. For a quasi-one-dimensional system this leads to a predicted bending point at n_c \approx 0.432 N for an N particle system. Numerical evidence is presented that confirms this predicted bending point as a function of the number of particles N.
4 pages, 4 figures
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