Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statistics

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dc.contributor.authorAntonopoulos, Chris G.
dc.contributor.authorSkokos, Charalampos
dc.contributor.authorBountis, Tassos
dc.contributor.authorFlach, Sergej
dc.creatorChris G., Antonopoulos
dc.date.accessioned2017-12-26T09:43:43Z
dc.date.available2017-12-26T09:43:43Z
dc.date.issued2017-11-01
dc.description.abstractAbstract In 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 distribution 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 system 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=109.en_US
dc.identifierDOI:10.1016/j.chaos.2017.08.005
dc.identifier.citationChris G. Antonopoulos, Charalampos Skokos, Tassos Bountis, Sergej Flach, Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statistics, In Chaos, Solitons & Fractals, Volume 104, 2017, Pages 129-134en_US
dc.identifier.issn09600779
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0960077917303259
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/3064
dc.language.isoenen_US
dc.publisherChaos, Solitons & Fractalsen_US
dc.relation.ispartofChaos, Solitons & Fractals
dc.rights.license© 2017 Elsevier Ltd. All rights reserved.
dc.subjectKlein–Gordonen_US
dc.subjectWave packet spreadingen_US
dc.subjectChaotic dynamicsen_US
dc.subjectQuasi-periodic motionen_US
dc.subjectSubdiffusive regimeen_US
dc.subjectq-Gaussianen_US
dc.subjectq-statisticsen_US
dc.subjectTsallis entropyen_US
dc.titleAnalyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statisticsen_US
dc.typeArticleen_US
elsevier.aggregationtypeJournal
elsevier.coverdate2017-11-01
elsevier.coverdisplaydateNovember 2017
elsevier.endingpage134
elsevier.identifier.doi10.1016/j.chaos.2017.08.005
elsevier.identifier.eid1-s2.0-S0960077917303259
elsevier.identifier.piiS0960-0779(17)30325-9
elsevier.identifier.scopusid85027572101
elsevier.openaccess0
elsevier.openaccessarticlefalse
elsevier.openarchivearticlefalse
elsevier.startingpage129
elsevier.teaserIn 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,...
elsevier.volume104
workflow.import.sourcescience

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