Consequences of quadratic frictional force on the one dimensional bouncing ball model

Detalhes bibliográficos
Autor(a) principal: Leonel, Edson D. [UNESP]
Data de Publicação: 2007
Outros Autores: Tavares, Danila F. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/1.2746733
http://hdl.handle.net/11449/69890
Resumo: Some dynamical properties of the one dimensional Fermi accelerator model, under the presence of frictional force are studied. The frictional force is assumed as being proportional to the square particle's velocity. The problem is described by use of a two dimensional non linear mapping, therefore obtained via the solution of differential equations. We confirm that the model experiences contraction of the phase space area and in special, we characterized the behavior of the particle approaching an attracting fixed point. © 2007 American Institute of Physics.
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spelling Consequences of quadratic frictional force on the one dimensional bouncing ball modelClassical billiardFermi accelerator modelNonlinear mappingSome dynamical properties of the one dimensional Fermi accelerator model, under the presence of frictional force are studied. The frictional force is assumed as being proportional to the square particle's velocity. The problem is described by use of a two dimensional non linear mapping, therefore obtained via the solution of differential equations. We confirm that the model experiences contraction of the phase space area and in special, we characterized the behavior of the particle approaching an attracting fixed point. © 2007 American Institute of Physics.Departamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista - UNESP, Av. 24a, 1515 - Beta Vista, CEP:13.506-700 - Rio Claro - SPDepartamento de Física Universidade Estadual Paulista - UNESP, Rua 10, 2527 - Santana, CEP: 13.500-230 - Rio Claro - SPDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista - UNESP, Av. 24a, 1515 - Beta Vista, CEP:13.506-700 - Rio Claro - SPDepartamento de Física Universidade Estadual Paulista - UNESP, Rua 10, 2527 - Santana, CEP: 13.500-230 - Rio Claro - SPUniversidade Estadual Paulista (Unesp)Leonel, Edson D. [UNESP]Tavares, Danila F. [UNESP]2014-05-27T11:22:35Z2014-05-27T11:22:35Z2007-09-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject108-113application/pdfhttp://dx.doi.org/10.1063/1.2746733Nonequilibrium Statistical Mechanics and Nonlinear Physics. Melville: Amer Inst Physics, v. 913, p. 108-113, 2007.0094-243X1551-7616http://hdl.handle.net/11449/6989010.1063/1.2746733WOS:0002474004000192-s2.0-345487102142-s2.0-34548710214.pdf6130644232718610Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAIP Conference Proceedingsinfo:eu-repo/semantics/openAccess2023-12-24T06:18:48Zoai:repositorio.unesp.br:11449/69890Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-24T06:18:48Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Consequences of quadratic frictional force on the one dimensional bouncing ball model
title Consequences of quadratic frictional force on the one dimensional bouncing ball model
spellingShingle Consequences of quadratic frictional force on the one dimensional bouncing ball model
Leonel, Edson D. [UNESP]
Classical billiard
Fermi accelerator model
Nonlinear mapping
title_short Consequences of quadratic frictional force on the one dimensional bouncing ball model
title_full Consequences of quadratic frictional force on the one dimensional bouncing ball model
title_fullStr Consequences of quadratic frictional force on the one dimensional bouncing ball model
title_full_unstemmed Consequences of quadratic frictional force on the one dimensional bouncing ball model
title_sort Consequences of quadratic frictional force on the one dimensional bouncing ball model
author Leonel, Edson D. [UNESP]
author_facet Leonel, Edson D. [UNESP]
Tavares, Danila F. [UNESP]
author_role author
author2 Tavares, Danila F. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Leonel, Edson D. [UNESP]
Tavares, Danila F. [UNESP]
dc.subject.por.fl_str_mv Classical billiard
Fermi accelerator model
Nonlinear mapping
topic Classical billiard
Fermi accelerator model
Nonlinear mapping
description Some dynamical properties of the one dimensional Fermi accelerator model, under the presence of frictional force are studied. The frictional force is assumed as being proportional to the square particle's velocity. The problem is described by use of a two dimensional non linear mapping, therefore obtained via the solution of differential equations. We confirm that the model experiences contraction of the phase space area and in special, we characterized the behavior of the particle approaching an attracting fixed point. © 2007 American Institute of Physics.
publishDate 2007
dc.date.none.fl_str_mv 2007-09-25
2014-05-27T11:22:35Z
2014-05-27T11:22:35Z
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/10.1063/1.2746733
Nonequilibrium Statistical Mechanics and Nonlinear Physics. Melville: Amer Inst Physics, v. 913, p. 108-113, 2007.
0094-243X
1551-7616
http://hdl.handle.net/11449/69890
10.1063/1.2746733
WOS:000247400400019
2-s2.0-34548710214
2-s2.0-34548710214.pdf
6130644232718610
url http://dx.doi.org/10.1063/1.2746733
http://hdl.handle.net/11449/69890
identifier_str_mv Nonequilibrium Statistical Mechanics and Nonlinear Physics. Melville: Amer Inst Physics, v. 913, p. 108-113, 2007.
0094-243X
1551-7616
10.1063/1.2746733
WOS:000247400400019
2-s2.0-34548710214
2-s2.0-34548710214.pdf
6130644232718610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv AIP Conference Proceedings
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 108-113
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_ 1799965392951574528

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