Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using q-Statistics

Simple item page
dc.contributor.authorAntonopoulos, Chris G.
dc.contributor.authorSkokos, Charalampos
dc.contributor.authorBountis, Tassos
dc.contributor.authorFlach, Sergej
dc.date.accessioned2018-08-23T09:28:05Z
dc.date.available2018-08-23T09:28:05Z
dc.date.issued2018-03-19
dc.description.abstractIn the study of subdiffusive wave-packet spreading in disordered Klein- Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends to become quasi-periodic as nonlinear terms become negligible. In a recent study of such KG particle chains with quartic (4th order) anharmonicity in the on-site potential it was shown that q−Gaussian probability distribu- tion functions of sums of position observables with q > 1 always approach pure Gaussians (q = 1) in the long time limit and hence the motion of the full system is ultimately “strongly chaotic”. In the present paper, we show that these results continue to hold even when a sextic (6th order) term is gradually added to the potential and ultimately prevails over the 4th order anharmonicity, despite expectations that the dynamics is more “regular”, at least in the regime of small oscillations. Analyzing this sys- tem in the subdiffusive energy domain using q-statistics, we demonstrate that groups of oscillators centered around the initially excited one (as well as the full chain) possess strongly chaotic dynamics and are thus far from any quasi-periodic torus, for times as long as t = 10en_US
dc.identifier.citationChris G. Antonopoulos, Charalampos Skokos, Tassos Bountis, Sergej Flach. 2018. Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using q-Statistics. arXiven_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/3393
dc.language.isoenen_US
dc.publisherarXiven_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.titleAnalyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using q-Statisticsen_US
dc.typeArticleen_US
workflow.import.sourcescience

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Analyzing Chaos in Higher Order Disordered.pdf
Size:
217.34 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
6 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Articles