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Recurrence of particles in static and time varying oval billiards

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dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.authorDettmann, Carl P.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Bristol
dc.date.accessioned2013-09-30T18:50:27Z
dc.date.accessioned2014-05-20T14:16:19Z
dc.date.available2013-09-30T18:50:27Z
dc.date.available2014-05-20T14:16:19Z
dc.date.issued2012-04-16
dc.description.abstractDynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different decays for the recurrence time distribution were observed after exponential decay for short times: A changeover to: (i) power law or; (ii) stretched exponential. Both slower decays are due to sticky orbits trapped near KAM islands, with the stretched exponential apparently associated with a single group of large islands. For time dependent case, survival probability leads to the conclusion that sticky orbits are less evident compared with the static case. (C) 2012 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, Dept Estat Matemat Aplicada & Comp UNESP, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUniv Bristol, Sch Math, Bristol BS8 1TW, Avon, England
dc.description.affiliationUnespUniv Estadual Paulista, Dept Estat Matemat Aplicada & Comp UNESP, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.format.extent1669-1674
dc.identifierhttp://dx.doi.org/10.1016/j.physleta.2012.03.056
dc.identifier.citationPhysics Letters A. Amsterdam: Elsevier B.V., v. 376, n. 20, p. 1669-1674, 2012.
dc.identifier.doi10.1016/j.physleta.2012.03.056
dc.identifier.issn0375-9601
dc.identifier.lattes6130644232718610
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttp://hdl.handle.net/11449/24910
dc.identifier.wosWOS:000303645700001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofPhysics Letters A
dc.relation.ispartofjcr1.863
dc.relation.ispartofsjr0,595
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectBilliardsen
dc.subjectEscape of particlesen
dc.subjectFermi accelerationen
dc.titleRecurrence of particles in static and time varying oval billiardsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes6130644232718610[1]
unesp.author.orcid0000-0001-8224-3329[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas