Competition between suppression and production of Fermi acceleration
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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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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:29462024-08-05T16:28:31.667490Repositório 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 |
|
_version_ |
1808128657755996160 |