Competition between suppression and production of Fermi acceleration

Detalhes bibliográficos
Autor(a) principal: Ladeira, Denis Gouvêa
Data de Publicação: 2010
Outros Autores: Leonel, Edson D. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevE.81.036216
http://hdl.handle.net/11449/225807
Resumo: The behavior of the average velocity for a classical particle in the one-dimensional Fermi accelerator model under sawtooth external force is considered. For elastic collisions, it is known that the average velocity of the particle grows unlimitedly because of the discontinuities of the derivative of the moving wall's position with respect to time. However, and contrary to what was expected to be observed, the introduction of a friction force generated from a slip of a body against a rough surface leads to a boundary separating different regions of the phase space that yields the particle to either experience unlimited energy growth or suppression of Fermi acceleration. The Fermi acceleration is described by using scaling arguments. The formalism presented can be extended to two-dimensional time-dependent billiards as well as to higher-order mappings. © 2010 The American Physical Society.
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spelling Competition between suppression and production of Fermi accelerationThe behavior of the average velocity for a classical particle in the one-dimensional Fermi accelerator model under sawtooth external force is considered. For elastic collisions, it is known that the average velocity of the particle grows unlimitedly because of the discontinuities of the derivative of the moving wall's position with respect to time. However, and contrary to what was expected to be observed, the introduction of a friction force generated from a slip of a body against a rough surface leads to a boundary separating different regions of the phase space that yields the particle to either experience unlimited energy growth or suppression of Fermi acceleration. The Fermi acceleration is described by using scaling arguments. The formalism presented can be extended to two-dimensional time-dependent billiards as well as to higher-order mappings. © 2010 The American Physical Society.Campus Alto Paraopeba Universidade Federal de São João Del-Rei Fazenda Do Cadete, CEP 36420-000, Ouro Branco, MGDepartamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista, Av. 24A, CEP 13506-700, Rio Claro, SPDepartamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista, Av. 24A, CEP 13506-700, Rio Claro, SPFazenda Do CadeteUniversidade Estadual Paulista (UNESP)Ladeira, Denis GouvêaLeonel, Edson D. [UNESP]2022-04-28T21:00:30Z2022-04-28T21:00:30Z2010-03-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.81.036216Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 81, n. 3, 2010.1539-37551550-2376http://hdl.handle.net/11449/22580710.1103/PhysRevE.81.0362162-s2.0-77950186481Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2022-04-28T21:00:31Zoai:repositorio.unesp.br:11449/225807Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T21:00:31Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Competition between suppression and production of Fermi acceleration
title Competition between suppression and production of Fermi acceleration
spellingShingle Competition between suppression and production of Fermi acceleration
Ladeira, Denis Gouvêa
title_short Competition between suppression and production of Fermi acceleration
title_full Competition between suppression and production of Fermi acceleration
title_fullStr Competition between suppression and production of Fermi acceleration
title_full_unstemmed Competition between suppression and production of Fermi acceleration
title_sort Competition between suppression and production of Fermi acceleration
author Ladeira, Denis Gouvêa
author_facet Ladeira, Denis Gouvêa
Leonel, Edson D. [UNESP]
author_role author
author2 Leonel, Edson D. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Fazenda Do Cadete
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Ladeira, Denis Gouvêa
Leonel, Edson D. [UNESP]
description The behavior of the average velocity for a classical particle in the one-dimensional Fermi accelerator model under sawtooth external force is considered. For elastic collisions, it is known that the average velocity of the particle grows unlimitedly because of the discontinuities of the derivative of the moving wall's position with respect to time. However, and contrary to what was expected to be observed, the introduction of a friction force generated from a slip of a body against a rough surface leads to a boundary separating different regions of the phase space that yields the particle to either experience unlimited energy growth or suppression of Fermi acceleration. The Fermi acceleration is described by using scaling arguments. The formalism presented can be extended to two-dimensional time-dependent billiards as well as to higher-order mappings. © 2010 The American Physical Society.
publishDate 2010
dc.date.none.fl_str_mv 2010-03-23
2022-04-28T21:00:30Z
2022-04-28T21:00:30Z
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/10.1103/PhysRevE.81.036216
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 81, n. 3, 2010.
1539-3755
1550-2376
http://hdl.handle.net/11449/225807
10.1103/PhysRevE.81.036216
2-s2.0-77950186481
url http://dx.doi.org/10.1103/PhysRevE.81.036216
http://hdl.handle.net/11449/225807
identifier_str_mv Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 81, n. 3, 2010.
1539-3755
1550-2376
10.1103/PhysRevE.81.036216
2-s2.0-77950186481
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
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