Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam model
dc.contributor.author | Livorati, André L.P. [UNESP] | |
dc.contributor.author | Palmero, Matheus S. [UNESP] | |
dc.contributor.author | Díaz-I, Gabriel [UNESP] | |
dc.contributor.author | Dettmann, Carl P. | |
dc.contributor.author | Caldas, Iberê L. | |
dc.contributor.author | Leonel, Edson D. [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | University of Bristol | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.date.accessioned | 2018-12-11T17:13:30Z | |
dc.date.available | 2018-12-11T17:13:30Z | |
dc.date.issued | 2018-02-01 | |
dc.description.abstract | We 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.affiliation | Departamento de Física UNESP Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP | |
dc.description.affiliation | School of Mathematics University of Bristol, Bristol, BS8 1TW | |
dc.description.affiliation | Instituto de Física IFUSP Universidade de São Paulo USP Rua do Matão, Tr.R 187, Cidade Universitária, 05314-970, São Paulo, SP | |
dc.description.affiliationUnesp | Departamento de Física UNESP Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio Claro, SP | |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | Engineering and Physical Sciences Research Council | |
dc.description.sponsorshipId | FAPESP: 2011/19296-1 | |
dc.description.sponsorshipId | FAPESP: 2012/23688-5 | |
dc.description.sponsorshipId | FAPESP: 2014/25316-3 | |
dc.description.sponsorshipId | FAPESP: 2014/27260-5 | |
dc.description.sponsorshipId | FAPESP: 2015/26699-6 | |
dc.description.sponsorshipId | CNPq: 303707/2015-1 | |
dc.description.sponsorshipId | Engineering and Physical Sciences Research Council: EP/N002458/1 | |
dc.format.extent | 225-236 | |
dc.identifier | http://dx.doi.org/10.1016/j.cnsns.2017.07.010 | |
dc.identifier.citation | Communications in Nonlinear Science and Numerical Simulation, v. 55, p. 225-236. | |
dc.identifier.doi | 10.1016/j.cnsns.2017.07.010 | |
dc.identifier.file | 2-s2.0-85025080732.pdf | |
dc.identifier.issn | 1007-5704 | |
dc.identifier.scopus | 2-s2.0-85025080732 | |
dc.identifier.uri | http://hdl.handle.net/11449/174930 | |
dc.language.iso | eng | |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
dc.relation.ispartofsjr | 1,372 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Anomalous transport and diffusion | |
dc.subject | Chaos | |
dc.subject | Stickiness influence | |
dc.title | Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam model | en |
dc.type | Artigo | |
dspace.entity.type | Publication | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
unesp.department | Física - IGCE | pt |
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