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dc.contributor.authorHansen, Matheus
dc.contributor.authorEgydio de Carvalho, R. [UNESP]
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.date.accessioned2018-12-11T16:43:48Z
dc.date.available2018-12-11T16:43:48Z
dc.date.issued2016-10-23
dc.identifierhttp://dx.doi.org/10.1016/j.physleta.2016.09.009
dc.identifier.citationPhysics Letters, Section A: General, Atomic and Solid State Physics, v. 380, n. 43, p. 3634-3639, 2016.
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/11449/168964
dc.description.abstractStatistical properties for the recurrence of particles in an oval billiard with a hole in the boundary are discussed. The hole is allowed to move in the boundary under two different types of motion: (i) counterclockwise periodic circulation with a fixed step length and; (ii) random movement around the boundary. After injecting an ensemble of particles through the hole we show that the surviving probability of the particles without recurring – without escaping – from the billiard is described by an exponential law and that the slope of the decay is proportional to the relative size of the hole. Since the phase space of the system exhibits islands of stability we show there are preferred regions of escaping in the polar angle, hence given a partial answer to an open problem: Where to place a hole in order to maximize or minimize a suitable defined measure of escaping.en
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent3634-3639
dc.language.isoeng
dc.relation.ispartofPhysics Letters, Section A: General, Atomic and Solid State Physics
dc.sourceScopus
dc.subjectBilliards
dc.subjectChaos
dc.subjectEscape of particles
dc.titleInfluence of stability islands in the recurrence of particles in a static oval billiard with holesen
dc.typeArtigo
dc.contributor.institutionCidade Universit�ria
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAbdus Salam International Center for Theoretical Physics
dc.description.affiliationInstituto de F�sica da Universidade de S�o Paulo Cidade Universit�ria, Rua do Mat�o, Travessa R 187
dc.description.affiliationUniversidade Estadual Paulista – UNESP
dc.description.affiliationDepartamento de F�sica UNESP – Univ Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.description.affiliationAbdus Salam International Center for Theoretical Physics, Strada Costiera 11
dc.description.affiliationUnespUniversidade Estadual Paulista – UNESP
dc.description.affiliationUnespDepartamento de F�sica UNESP – Univ Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.identifier.doi10.1016/j.physleta.2016.09.009
dc.rights.accessRightsAcesso aberto
dc.description.sponsorshipIdFAPESP: 2012/23688-5
dc.description.sponsorshipIdFAPESP: 2014/00334-9
dc.description.sponsorshipIdCNPq: 303707/2015-1
dc.description.sponsorshipIdCNPq: 306034/2015-8
dc.identifier.scopus2-s2.0-84988431463
dc.identifier.file2-s2.0-84988431463.pdf
unesp.author.orcid0000-0003-0125-9033[1]
dc.relation.ispartofsjr0,595
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