Scaling and self-similarity for the dynamics of a particle confined to an asymmetric time-dependent potential well

dc.contributor.authorDa Costa, Diogo R. [UNESP]
dc.contributor.authorMéndez-Bermúdez, J. A.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Ponta Grossa (UEPG)
dc.contributor.institutionBenemérita Universidad Autónoma de Puebla
dc.date.accessioned2019-10-06T15:30:31Z
dc.date.available2019-10-06T15:30:31Z
dc.date.issued2019-02-01
dc.description.abstractThe dynamics of a classical point particle confined to an asymmetric time-dependent potential well is investigated under the framework of scaling. The potential corresponds to a reduced version of a particle moving along an infinitely periodic sequence of synchronously oscillating potential barriers. The dynamics of the model is described by a two-dimensional nonlinear and area preserving map in energy and phase variables. The asymmetric potential well is defined by two regions: Region I with fixed null potential and region II with an oscillating potential. The time-dependent potential of region II makes, for certain initial conditions, the particle to undergo a number of multiple reflections η at the border of the two regions and stay trapped in region I. Such trappings are described by histograms of multiple reflections η, obeying the power-law H(η) η-ν with ν≈3, which are scale invariant with a scaling parameter depending of the control parameters of the mapping. We identify the location of the sets of initial conditions in phase space producing the multiple reflections and show that they generate well defined self-similar structures in density plots of trajectories in energy space. The self-similar structures can be enhanced by properly tuning the system parameters.en
dc.description.affiliationDepartamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.description.affiliationDepartamento de Matemática e Estatística - UEPG
dc.description.affiliationInstituto de Física Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48
dc.description.affiliationUnespDepartamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.99.012202
dc.identifier.citationPhysical Review E, v. 99, n. 1, 2019.
dc.identifier.doi10.1103/PhysRevE.99.012202
dc.identifier.issn2470-0053
dc.identifier.issn2470-0045
dc.identifier.scopus2-s2.0-85059805485
dc.identifier.urihttp://hdl.handle.net/11449/187257
dc.language.isoeng
dc.relation.ispartofPhysical Review E
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleScaling and self-similarity for the dynamics of a particle confined to an asymmetric time-dependent potential wellen
dc.typeArtigo

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