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dc.contributor.authorPace, Salvatore D.en_US
dc.contributor.authorCampbell, David K.en_US
dc.date.accessioned2020-04-27T17:30:18Z
dc.date.available2020-04-27T17:30:18Z
dc.date.issued2019-02-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000460032800035&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationSalvatore D Pace, David K Campbell. 2019. "Behavior and breakdown of higher-order Fermi-Pasta-Ulam-Tsingou recurrences." CHAOS, Volume 29, Issue 2, 15 pp. https://doi.org/10.1063/1.5079659
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.urihttps://hdl.handle.net/2144/40376
dc.description.abstractWe numerically investigate the existence and stability of higher-order recurrences (HoRs), including super-recurrences, super-super-recurrences, etc., in the α and β Fermi-Pasta-Ulam-Tsingou (FPUT) lattices for initial conditions in the fundamental normal mode. Our results represent a considerable extension of the pioneering work of Tuck and Menzel on super-recurrences. For fixed lattice sizes, we observe and study apparent singularities in the periods of these HoRs, speculated to be caused by nonlinear resonances. Interestingly, these singularities depend very sensitively on the initial energy and the respective nonlinear parameters. Furthermore, we compare the mechanisms by which the super-recurrences in the two models breakdown as the initial energy and respective nonlinear parameters are increased. The breakdown of super-recurrences in the β-FPUT lattice is associated with the destruction of the so-called metastable state and thus with relaxation towards equilibrium. For the α -FPUT lattice, we find this is not the case and show that the super-recurrences break down while the lattice is still metastable and far from equilibrium. We close with comments on the generality of our results for different lattice sizes.en_US
dc.description.sponsorshipWe would like to acknowledge financial support from Boston University's Undergraduate Research Opportunities Program. We would like to also thank Gino Biondini for providing helpful resources. (Boston University's Undergraduate Research Opportunities Program)en_US
dc.format.extent15 pagesen_US
dc.languageEnglish
dc.language.isoen_US
dc.publisherAMER INST PHYSICSen_US
dc.relation.ispartofCHAOS
dc.rightsThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Salvatore D Pace, David K Campbell. 2019. "Behavior and breakdown of higher-order Fermi-Pasta-Ulam-Tsingou recurrences." CHAOS, Volume 29, Issue 2: 023132, and may be found at https://doi.org/10.1063/1.5079659.en_US
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectMathematics, applieden_US
dc.subjectPhysics, mathematicalen_US
dc.subjectMathematicsen_US
dc.subjectPhysicsen_US
dc.subjectNumerical-experimenten_US
dc.subjectEnergyen_US
dc.subjectTimeen_US
dc.subjectEquipartitionen_US
dc.subjectLocalizationen_US
dc.subjectSuperperioden_US
dc.subjectEvolutionen_US
dc.subjectEquationen_US
dc.subjectApplied mathematicsen_US
dc.subjectNumerical and computational mathematicsen_US
dc.subjectFluids & plasmasen_US
dc.titleBehavior and breakdown of higher-order Fermi-Pasta-Ulam-Tsingou recurrencesen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.1063/1.5079659
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-4502-5629 (Campbell, David K)
dc.identifier.mycv451558


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