Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.physleta.2017.04.042 http://hdl.handle.net/11449/169698 |
Resumo: | We investigate the dynamics of a system composed of a particle suffering impacts between two heavy periodically vibrating walls. An original, nonlinear area preserving mapping is obtained. The control parameters of amplitude of perturbation and frequency of oscillation play an important role in the phase space, shaping the portion of chaotic seas, position of invariant curves and the amount of KAM islands. The study of the behavior of the root mean square velocity was made via analytical description and numerical simulations. We proposed scaling arguments to describe its dynamics and our results show remarkably good agreement between the theory and the simulations concerning a scaling invariance with respect to the control parameters. Also, an analysis of the diffusion coefficient confirms the validity of the scaling invariance, giving robustness to our modeling. |
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Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating wallsDiffusionImpact systemNonlinear mappingScalingWe investigate the dynamics of a system composed of a particle suffering impacts between two heavy periodically vibrating walls. An original, nonlinear area preserving mapping is obtained. The control parameters of amplitude of perturbation and frequency of oscillation play an important role in the phase space, shaping the portion of chaotic seas, position of invariant curves and the amount of KAM islands. The study of the behavior of the root mean square velocity was made via analytical description and numerical simulations. We proposed scaling arguments to describe its dynamics and our results show remarkably good agreement between the theory and the simulations concerning a scaling invariance with respect to the control parameters. Also, an analysis of the diffusion coefficient confirms the validity of the scaling invariance, giving robustness to our modeling.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Física UNESP – Univ Estadual Paulista, Av. 24A, 1515 – Bela VistaSchool of Mathematics University of BristolDepartamento de Física UNESP – Univ Estadual Paulista, Av. 24A, 1515 – Bela VistaFAPESP: 2014/25316-3FAPESP: 2015/26699-6Universidade Estadual Paulista (Unesp)University of BristolLivorati, André L.P. [UNESP]2018-12-11T16:47:13Z2018-12-11T16:47:13Z2017-07-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2214-2221application/pdfhttp://dx.doi.org/10.1016/j.physleta.2017.04.042Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 28, p. 2214-2221, 2017.0375-9601http://hdl.handle.net/11449/16969810.1016/j.physleta.2017.04.0422-s2.0-850189073132-s2.0-85018907313.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section A: General, Atomic and Solid State Physics0,595info:eu-repo/semantics/openAccess2023-11-02T06:10:50Zoai:repositorio.unesp.br:11449/169698Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:43:51.295475Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
title |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
spellingShingle |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls Livorati, André L.P. [UNESP] Diffusion Impact system Nonlinear mapping Scaling |
title_short |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
title_full |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
title_fullStr |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
title_full_unstemmed |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
title_sort |
Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls |
author |
Livorati, André L.P. [UNESP] |
author_facet |
Livorati, André L.P. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of Bristol |
dc.contributor.author.fl_str_mv |
Livorati, André L.P. [UNESP] |
dc.subject.por.fl_str_mv |
Diffusion Impact system Nonlinear mapping Scaling |
topic |
Diffusion Impact system Nonlinear mapping Scaling |
description |
We investigate the dynamics of a system composed of a particle suffering impacts between two heavy periodically vibrating walls. An original, nonlinear area preserving mapping is obtained. The control parameters of amplitude of perturbation and frequency of oscillation play an important role in the phase space, shaping the portion of chaotic seas, position of invariant curves and the amount of KAM islands. The study of the behavior of the root mean square velocity was made via analytical description and numerical simulations. We proposed scaling arguments to describe its dynamics and our results show remarkably good agreement between the theory and the simulations concerning a scaling invariance with respect to the control parameters. Also, an analysis of the diffusion coefficient confirms the validity of the scaling invariance, giving robustness to our modeling. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-07-25 2018-12-11T16:47:13Z 2018-12-11T16:47:13Z |
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.2017.04.042 Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 28, p. 2214-2221, 2017. 0375-9601 http://hdl.handle.net/11449/169698 10.1016/j.physleta.2017.04.042 2-s2.0-85018907313 2-s2.0-85018907313.pdf |
url |
http://dx.doi.org/10.1016/j.physleta.2017.04.042 http://hdl.handle.net/11449/169698 |
identifier_str_mv |
Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 28, p. 2214-2221, 2017. 0375-9601 10.1016/j.physleta.2017.04.042 2-s2.0-85018907313 2-s2.0-85018907313.pdf |
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 0,595 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2214-2221 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_ |
1808128693512437760 |