The maximum number of highly localized Lyapunov vectors at low density

Tooru Taniguchi and Gary P. Morriss

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 2, 563-570

Abstract: The localization spectra, which describes the magnitude of the localization of the Lyapunov vectors in many-particle systems, exhibit a characteristic bending behavior at low density. 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, using a randomly distributed brick model, this leads to a predicted bending point at nc≈0.432N for an N particle system. Numerical evidence is presented that confirms this predicted bending point as a function of the number of particles N.

Keywords: Lyapunov vector; Localization; Large Lyapunov exponents; Low density; Many-particle system; Quasi-one-dimensional system (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437106010053
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:2:p:563-570

DOI: 10.1016/j.physa.2006.09.017

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().