Scaling properties of the fermi-ulam accelerator model

Detalhes bibliográficos
Autor(a) principal: Da Silva, Jafferson Kamphorst Leal
Data de Publicação: 2006
Outros Autores: Ladeira, Denis Gouvêa, Leonel, Edson D. [UNESP], McClintock, P. V E, Kamphorst, Sylvie O.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S0103-97332006000500022
http://hdl.handle.net/11449/69183
Resumo: The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.
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spelling Scaling properties of the fermi-ulam accelerator modelChaosFermi ModelLyapunov ExponentScalingThe chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.Departamento de Física ICEx Universidade Federal de Minas Gerais, Caixa Postal 702, 30.123-970 Belo Horizonte, MGDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista Julia de Mesquita Filho, 13506-700 Rio Claro, SPDepartment of Physics Lancaster University, LA1 4YBDepartamento de Matemática Instituto de Ciências Exatas Universidade Federal de Minas Gerais, C. P. 702, 30123-970 Belo Horizonte, MGDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista Julia de Mesquita Filho, 13506-700 Rio Claro, SPUniversidade Federal de Minas Gerais (UFMG)Universidade Estadual Paulista (Unesp)Lancaster UniversityDa Silva, Jafferson Kamphorst LealLadeira, Denis GouvêaLeonel, Edson D. [UNESP]McClintock, P. V EKamphorst, Sylvie O.2014-05-27T11:22:01Z2014-05-27T11:22:01Z2006-10-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject700-707application/pdfhttp://dx.doi.org/10.1590/S0103-97332006000500022Brazilian Journal of Physics, v. 36, n. 3 A, p. 700-707, 2006.0103-9733http://hdl.handle.net/11449/6918310.1590/S0103-97332006000500022S0103-97332006000500022WOS:0002411510000222-s2.0-337482892972-s2.0-33748289297.pdf6130644232718610Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2023-12-30T06:21:35Zoai:repositorio.unesp.br:11449/69183Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:43:09.858211Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Scaling properties of the fermi-ulam accelerator model
title Scaling properties of the fermi-ulam accelerator model
spellingShingle Scaling properties of the fermi-ulam accelerator model
Da Silva, Jafferson Kamphorst Leal
Chaos
Fermi Model
Lyapunov Exponent
Scaling
title_short Scaling properties of the fermi-ulam accelerator model
title_full Scaling properties of the fermi-ulam accelerator model
title_fullStr Scaling properties of the fermi-ulam accelerator model
title_full_unstemmed Scaling properties of the fermi-ulam accelerator model
title_sort Scaling properties of the fermi-ulam accelerator model
author Da Silva, Jafferson Kamphorst Leal
author_facet Da Silva, Jafferson Kamphorst Leal
Ladeira, Denis Gouvêa
Leonel, Edson D. [UNESP]
McClintock, P. V E
Kamphorst, Sylvie O.
author_role author
author2 Ladeira, Denis Gouvêa
Leonel, Edson D. [UNESP]
McClintock, P. V E
Kamphorst, Sylvie O.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de Minas Gerais (UFMG)
Universidade Estadual Paulista (Unesp)
Lancaster University
dc.contributor.author.fl_str_mv Da Silva, Jafferson Kamphorst Leal
Ladeira, Denis Gouvêa
Leonel, Edson D. [UNESP]
McClintock, P. V E
Kamphorst, Sylvie O.
dc.subject.por.fl_str_mv Chaos
Fermi Model
Lyapunov Exponent
Scaling
topic Chaos
Fermi Model
Lyapunov Exponent
Scaling
description The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.
publishDate 2006
dc.date.none.fl_str_mv 2006-10-30
2014-05-27T11:22:01Z
2014-05-27T11:22:01Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/S0103-97332006000500022
Brazilian Journal of Physics, v. 36, n. 3 A, p. 700-707, 2006.
0103-9733
http://hdl.handle.net/11449/69183
10.1590/S0103-97332006000500022
S0103-97332006000500022
WOS:000241151000022
2-s2.0-33748289297
2-s2.0-33748289297.pdf
6130644232718610
url http://dx.doi.org/10.1590/S0103-97332006000500022
http://hdl.handle.net/11449/69183
identifier_str_mv Brazilian Journal of Physics, v. 36, n. 3 A, p. 700-707, 2006.
0103-9733
10.1590/S0103-97332006000500022
S0103-97332006000500022
WOS:000241151000022
2-s2.0-33748289297
2-s2.0-33748289297.pdf
6130644232718610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal of Physics
1.082
0,276
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 700-707
application/pdf
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_ 1808129350124437504

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