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Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam model

dc.contributor.authorLivorati, André L.P. [UNESP]
dc.contributor.authorPalmero, Matheus S. [UNESP]
dc.contributor.authorDíaz-I, Gabriel [UNESP]
dc.contributor.authorDettmann, Carl P.
dc.contributor.authorCaldas, Iberê L.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Bristol
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2018-12-11T17:13:30Z
dc.date.available2018-12-11T17:13:30Z
dc.date.issued2018-02-01
dc.description.abstractWe study the dynamics of an ensemble of non interacting particles constrained by two infinitely heavy walls, where one of them is moving periodically in time, while the other is fixed. The system presents mixed dynamics, where the accessible region for the particle to diffuse chaotically is bordered by an invariant spanning curve. Statistical analysis for the root mean square velocity, considering high and low velocity ensembles, leads the dynamics to the same steady state plateau for long times. A transport investigation of the dynamics via escape basins reveals that depending of the initial velocity ensemble, the decay rates of the survival probability present different shapes and bumps, in a mix of exponential, power law and stretched exponential decays. After an analysis of step-size averages, we found that the stable manifolds play the role of a preferential path for faster escape, being responsible for the bumps and different shapes of the survival probability.en
dc.description.affiliationDepartamento de Física UNESP Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP
dc.description.affiliationSchool of Mathematics University of Bristol, Bristol, BS8 1TW
dc.description.affiliationInstituto de Física IFUSP Universidade de São Paulo USP Rua do Matão, Tr.R 187, Cidade Universitária, 05314-970, São Paulo, SP
dc.description.affiliationUnespDepartamento de Física UNESP Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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.sponsorshipEngineering and Physical Sciences Research Council
dc.description.sponsorshipIdFAPESP: 2011/19296-1
dc.description.sponsorshipIdFAPESP: 2012/23688-5
dc.description.sponsorshipIdFAPESP: 2014/25316-3
dc.description.sponsorshipIdFAPESP: 2014/27260-5
dc.description.sponsorshipIdFAPESP: 2015/26699-6
dc.description.sponsorshipIdCNPq: 303707/2015-1
dc.description.sponsorshipIdEngineering and Physical Sciences Research Council: EP/N002458/1
dc.format.extent225-236
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2017.07.010
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, v. 55, p. 225-236.
dc.identifier.doi10.1016/j.cnsns.2017.07.010
dc.identifier.file2-s2.0-85025080732.pdf
dc.identifier.issn1007-5704
dc.identifier.scopus2-s2.0-85025080732
dc.identifier.urihttp://hdl.handle.net/11449/174930
dc.language.isoeng
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAnomalous transport and diffusion
dc.subjectChaos
dc.subjectStickiness influence
dc.titleInvestigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam modelen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentFísica - IGCEpt

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