Consequences of quadratic frictional force on the one dimensional bouncing ball model
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
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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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:29462024-08-05T21:10:45.289451Repositório 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_ |
1808129294664204288 |