Statistical description of multiple collisions in the Fermi-Ulam model

Detalhes bibliográficos
Autor(a) principal: da Costa, Diogo Ricardo
Data de Publicação: 2019
Outros Autores: Silva, Mario R. [UNESP], Leonel, Edson D. [UNESP], Méndez-Bermúdez, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physleta.2019.07.013
http://hdl.handle.net/11449/187861
Resumo: The Fermi-Ulam model consists of a point particle colliding elastically between two hards walls, one is considered fixed and the other one oscillates periodically in time. Most investigations on this model are based on a map approach that, although it is extremely efficient from the computational point of view, ignores processes which are relevant for a thorough dynamical description. The map approach considers the so called static wall approximation. In this paper, by efficiently solving the exact Fermi-Ulam model, we statistically characterize multiple collisions with the moving wall (processes not considered in the static wall approximation) and prove that structures emerging from such collisions have fractal features exhibiting self-similar characteristics.
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spelling Statistical description of multiple collisions in the Fermi-Ulam modelFermi-Ulam modelMixed chaosThe Fermi-Ulam model consists of a point particle colliding elastically between two hards walls, one is considered fixed and the other one oscillates periodically in time. Most investigations on this model are based on a map approach that, although it is extremely efficient from the computational point of view, ignores processes which are relevant for a thorough dynamical description. The map approach considers the so called static wall approximation. In this paper, by efficiently solving the exact Fermi-Ulam model, we statistically characterize multiple collisions with the moving wall (processes not considered in the static wall approximation) and prove that structures emerging from such collisions have fractal features exhibiting self-similar characteristics.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual PaulistaPrograma de Pós-Graduação em Ciências/Física Universidade Estadual de Ponta Grossa (UEPG), Câmpus UvaranasDepartamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista (UNESP)Departamento de Física Universidade Estadual Paulista (UNESP)Instituto de Física Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48Departamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista (UNESP)Departamento de Física Universidade Estadual Paulista (UNESP)FAPESP: 2013/22764-2FAPESP: 2017/14414-2CNPq: 303707/2015-1Universidade Estadual de Ponta Grossa (UEPG)Universidade Estadual Paulista (Unesp)Benemérita Universidad Autónoma de Pueblada Costa, Diogo RicardoSilva, Mario R. [UNESP]Leonel, Edson D. [UNESP]Méndez-Bermúdez, J. A.2019-10-06T15:49:29Z2019-10-06T15:49:29Z2019-09-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3080-3087http://dx.doi.org/10.1016/j.physleta.2019.07.013Physics Letters, Section A: General, Atomic and Solid State Physics, v. 383, n. 25, p. 3080-3087, 2019.0375-9601http://hdl.handle.net/11449/18786110.1016/j.physleta.2019.07.0132-s2.0-85068908426Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section A: General, Atomic and Solid State Physicsinfo:eu-repo/semantics/openAccess2021-10-22T21:10:06Zoai:repositorio.unesp.br:11449/187861Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:09:52.057625Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Statistical description of multiple collisions in the Fermi-Ulam model
title Statistical description of multiple collisions in the Fermi-Ulam model
spellingShingle Statistical description of multiple collisions in the Fermi-Ulam model
da Costa, Diogo Ricardo
Fermi-Ulam model
Mixed chaos
title_short Statistical description of multiple collisions in the Fermi-Ulam model
title_full Statistical description of multiple collisions in the Fermi-Ulam model
title_fullStr Statistical description of multiple collisions in the Fermi-Ulam model
title_full_unstemmed Statistical description of multiple collisions in the Fermi-Ulam model
title_sort Statistical description of multiple collisions in the Fermi-Ulam model
author da Costa, Diogo Ricardo
author_facet da Costa, Diogo Ricardo
Silva, Mario R. [UNESP]
Leonel, Edson D. [UNESP]
Méndez-Bermúdez, J. A.
author_role author
author2 Silva, Mario R. [UNESP]
Leonel, Edson D. [UNESP]
Méndez-Bermúdez, J. A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Ponta Grossa (UEPG)
Universidade Estadual Paulista (Unesp)
Benemérita Universidad Autónoma de Puebla
dc.contributor.author.fl_str_mv da Costa, Diogo Ricardo
Silva, Mario R. [UNESP]
Leonel, Edson D. [UNESP]
Méndez-Bermúdez, J. A.
dc.subject.por.fl_str_mv Fermi-Ulam model
Mixed chaos
topic Fermi-Ulam model
Mixed chaos
description The Fermi-Ulam model consists of a point particle colliding elastically between two hards walls, one is considered fixed and the other one oscillates periodically in time. Most investigations on this model are based on a map approach that, although it is extremely efficient from the computational point of view, ignores processes which are relevant for a thorough dynamical description. The map approach considers the so called static wall approximation. In this paper, by efficiently solving the exact Fermi-Ulam model, we statistically characterize multiple collisions with the moving wall (processes not considered in the static wall approximation) and prove that structures emerging from such collisions have fractal features exhibiting self-similar characteristics.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T15:49:29Z
2019-10-06T15:49:29Z
2019-09-02
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.physleta.2019.07.013
Physics Letters, Section A: General, Atomic and Solid State Physics, v. 383, n. 25, p. 3080-3087, 2019.
0375-9601
http://hdl.handle.net/11449/187861
10.1016/j.physleta.2019.07.013
2-s2.0-85068908426
url http://dx.doi.org/10.1016/j.physleta.2019.07.013
http://hdl.handle.net/11449/187861
identifier_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics, v. 383, n. 25, p. 3080-3087, 2019.
0375-9601
10.1016/j.physleta.2019.07.013
2-s2.0-85068908426
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3080-3087
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129496220434432

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