Extensive chaos in Rayleigh-Benard convection

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dc.contributor.authorPaul, Mark R.en
dc.contributor.authorEinarsson, M. I.en
dc.contributor.authorFischer, P. F.en
dc.contributor.authorCross, M. C.en
dc.date.accessioned2024-10-07T19:05:55Zen
dc.date.available2024-10-07T19:05:55Zen
dc.date.issued2007-04-26en
dc.description.abstractUsing large-scale numerical calculations we explore spatiotemporal chaos in Rayleigh-Bénard convection for experimentally relevant conditions. We calculate the spectrum of Lyapunov exponents and the Lyapunov dimension describing the chaotic dynamics of the convective fluid layer at constant thermal driving over a range of finite system sizes. Our results reveal that the dynamics of fluid convection is truly chaotic for experimental conditions as illustrated by a positive leading-order Lyapunov exponent. We also find the chaos to be extensive over the range of finite-sized systems investigated as indicated by a linear scaling between the Lyapunov dimension of the chaotic attractor and the system size. © 2007 The American Physical Society.en
dc.description.versionPublished versionen
dc.format.extent4 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 045203 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.75.045203en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue4en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid17500952en
dc.identifier.urihttps://hdl.handle.net/10919/121291en
dc.identifier.volume75en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000246074300008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsPublic Domain (U.S.)en
dc.rights.urihttp://creativecommons.org/publicdomain/mark/1.0/en
dc.titleExtensive chaos in Rayleigh-Benard convectionen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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