A Monte Carlo approach for the bouncer model

Detalhes bibliográficos
Autor(a) principal: Díaz, Gabriel [UNESP]
Data de Publicação: 2017
Outros Autores: Yoshida, Makoto [UNESP], Leonel, Edson D. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physleta.2017.09.039
http://hdl.handle.net/11449/179259
Resumo: A Monte Carlo investigation is made in a dissipative bouncer model to describe some statistical properties for chaotic dynamics as a function of the control parameters. The dynamics of the system is described via a two dimensional mapping for the variables velocity of the particle and phase of the moving wall at the instant of the impact. A small stochastic noise is introduced in the time of flight of the particle as an attempt to investigate the evolution of the system without the need to solve transcendental equations. We show that average values along the chaotic dynamics do not strongly depend on the noise size. It allows us to propose a Monte Carlo like simulation that lead to calculate average values for the observables with great accuracy and fast simulations.
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spelling A Monte Carlo approach for the bouncer modelBouncer modelDiscrete mappingsMonte Carlo simulationA Monte Carlo investigation is made in a dissipative bouncer model to describe some statistical properties for chaotic dynamics as a function of the control parameters. The dynamics of the system is described via a two dimensional mapping for the variables velocity of the particle and phase of the moving wall at the instant of the impact. A small stochastic noise is introduced in the time of flight of the particle as an attempt to investigate the evolution of the system without the need to solve transcendental equations. We show that average values along the chaotic dynamics do not strongly depend on the noise size. It allows us to propose a Monte Carlo like simulation that lead to calculate average values for the observables with great accuracy and fast simulations.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Física UNESP – Univ. Estadual Paulista, Av. 24A, 1515, Bela VistaDepartamento de Física UNESP – Univ. Estadual Paulista, Av. 24A, 1515, Bela VistaFAPESP: 2017/14414-2CNPq: 303707/2015-1Universidade Estadual Paulista (Unesp)Díaz, Gabriel [UNESP]Yoshida, Makoto [UNESP]Leonel, Edson D. [UNESP]2018-12-11T17:34:25Z2018-12-11T17:34:25Z2017-11-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3636-3640application/pdfhttp://dx.doi.org/10.1016/j.physleta.2017.09.039Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 42, p. 3636-3640, 2017.0375-9601http://hdl.handle.net/11449/17925910.1016/j.physleta.2017.09.0392-s2.0-850307061432-s2.0-85030706143.pdf0097996544293892Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section A: General, Atomic and Solid State Physics0,595info:eu-repo/semantics/openAccess2023-12-15T06:14:19Zoai:repositorio.unesp.br:11449/179259Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:21:51.538500Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A Monte Carlo approach for the bouncer model
title A Monte Carlo approach for the bouncer model
spellingShingle A Monte Carlo approach for the bouncer model
Díaz, Gabriel [UNESP]
Bouncer model
Discrete mappings
Monte Carlo simulation
title_short A Monte Carlo approach for the bouncer model
title_full A Monte Carlo approach for the bouncer model
title_fullStr A Monte Carlo approach for the bouncer model
title_full_unstemmed A Monte Carlo approach for the bouncer model
title_sort A Monte Carlo approach for the bouncer model
author Díaz, Gabriel [UNESP]
author_facet Díaz, Gabriel [UNESP]
Yoshida, Makoto [UNESP]
Leonel, Edson D. [UNESP]
author_role author
author2 Yoshida, Makoto [UNESP]
Leonel, Edson D. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Díaz, Gabriel [UNESP]
Yoshida, Makoto [UNESP]
Leonel, Edson D. [UNESP]
dc.subject.por.fl_str_mv Bouncer model
Discrete mappings
Monte Carlo simulation
topic Bouncer model
Discrete mappings
Monte Carlo simulation
description A Monte Carlo investigation is made in a dissipative bouncer model to describe some statistical properties for chaotic dynamics as a function of the control parameters. The dynamics of the system is described via a two dimensional mapping for the variables velocity of the particle and phase of the moving wall at the instant of the impact. A small stochastic noise is introduced in the time of flight of the particle as an attempt to investigate the evolution of the system without the need to solve transcendental equations. We show that average values along the chaotic dynamics do not strongly depend on the noise size. It allows us to propose a Monte Carlo like simulation that lead to calculate average values for the observables with great accuracy and fast simulations.
publishDate 2017
dc.date.none.fl_str_mv 2017-11-13
2018-12-11T17:34:25Z
2018-12-11T17:34:25Z
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.2017.09.039
Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 42, p. 3636-3640, 2017.
0375-9601
http://hdl.handle.net/11449/179259
10.1016/j.physleta.2017.09.039
2-s2.0-85030706143
2-s2.0-85030706143.pdf
0097996544293892
url http://dx.doi.org/10.1016/j.physleta.2017.09.039
http://hdl.handle.net/11449/179259
identifier_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 42, p. 3636-3640, 2017.
0375-9601
10.1016/j.physleta.2017.09.039
2-s2.0-85030706143
2-s2.0-85030706143.pdf
0097996544293892
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 3636-3640
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_ 1808129193401122816

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