The crossover from strong to weak chaos for nonlinear waves in disordered systems

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dc.citation.issue3
dc.citation.volume91
dc.contributor.authorLaptyeva TV
dc.contributor.authorBodyfelt JD
dc.contributor.authorKrimer DO
dc.contributor.authorSkokos C
dc.contributor.authorFlach S
dc.date.available2010-08-01
dc.date.issued2010-08-01
dc.description.abstractWe observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple-site excitations within disordered chains with cubic nonlinearity. Recent studies have shown that Anderson localization is destroyed, and the wave packet spreading is characterized by an asymptotic divergence of the second moment m2 in time (as t1/3), due to weak chaos. In the present paper, we observe the existence of a qualitatively new dynamical regime of strong chaos, in which the second moment spreads even faster (as t1/2), with a crossover to the asymptotic law of weak chaos at larger times. We analyze the pecularities of these spreading regimes and perform extensive numerical simulations over large times with ensemble averaging. A technique of local derivatives on logarithmic scales is developed in order to quantitatively visualize the slow crossover processes. Copyright © 2010 EPLA.
dc.description.publication-statusPublished
dc.format.extent? - ? (6)
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000282189800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=c5bb3b2499afac691c2e3c1a83ef6fef
dc.identifierARTN 30001
dc.identifier.citationEPL, 2010, 91 (3), pp. ? - ? (6)
dc.identifier.doi10.1209/0295-5075/91/30001
dc.identifier.elements-id163588
dc.identifier.harvestedMassey_Dark
dc.identifier.issn0295-5075
dc.languageEnglish
dc.publisherEPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
dc.relation.isPartOfEPL
dc.subjectScience & Technology
dc.subjectPhysical Sciences
dc.subjectPhysics, Multidisciplinary
dc.subjectPhysics
dc.subjectPHYSICS, MULTIDISCIPLINARY
dc.subjectANDERSON LOCALIZATION
dc.subjectDISCRETE LATTICES
dc.subjectDELOCALIZATION
dc.subjectULTRASOUND
dc.subjectSCATTERING
dc.subjectBREATHERS
dc.subjectCREATION
dc.subjectGASES
dc.subject.anzsrc01 Mathematical Sciences
dc.subject.anzsrc02 Physical Sciences
dc.titleThe crossover from strong to weak chaos for nonlinear waves in disordered systems
dc.typeJournal article
pubs.notesNot known
pubs.organisational-group/Massey University
pubs.organisational-group/Massey University/College of Sciences
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