Suppression of Fermi Acceleration in the Oval Billiard
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2021 |
| Tipo de documento: | Capítulo de livro |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1007/978-981-16-3544-1_14 http://hdl.handle.net/11449/233486 |
Resumo: | We consider in this chapter the introduction of drag force in the oval billiard. As we have seen in Chap. 13 from the LRA conjecture, the chaotic dynamics in the static billiard is a sufficient condition to produce unlimited diffusion in the energy, i.e, Fermi acceleration, when a time perturbation to the boundary is introduced. We show in this chapter that the introduction of a drag force of the type F∝ - V, or F∝ ± V2 or F∝ - Vδ with δ≠ 1 and δ≠ 2 destroys the unlimited energy growth for an ensemble of particles. This result is a clear indication that Fermi acceleration is not a robust phenomena. |
| id |
UNSP_4817656b6cf959da72fa92f68477c584 |
|---|---|
| oai_identifier_str |
oai:repositorio.unesp.br:11449/233486 |
| network_acronym_str |
UNSP |
| network_name_str |
Repositório Institucional da UNESP |
| repository_id_str |
2946 |
| spelling |
Suppression of Fermi Acceleration in the Oval BilliardWe consider in this chapter the introduction of drag force in the oval billiard. As we have seen in Chap. 13 from the LRA conjecture, the chaotic dynamics in the static billiard is a sufficient condition to produce unlimited diffusion in the energy, i.e, Fermi acceleration, when a time perturbation to the boundary is introduced. We show in this chapter that the introduction of a drag force of the type F∝ - V, or F∝ ± V2 or F∝ - Vδ with δ≠ 1 and δ≠ 2 destroys the unlimited energy growth for an ensemble of particles. This result is a clear indication that Fermi acceleration is not a robust phenomena.Departmamento de Física Sao Paulo State UniversityDepartmamento de Física Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Leonel, Edson Denis [UNESP]2022-05-01T08:45:05Z2022-05-01T08:45:05Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart191-203http://dx.doi.org/10.1007/978-981-16-3544-1_14Nonlinear Physical Science, p. 191-203.1867-84591867-8440http://hdl.handle.net/11449/23348610.1007/978-981-16-3544-1_142-s2.0-85114317558Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Physical Scienceinfo:eu-repo/semantics/openAccess2022-05-01T08:45:05Zoai:repositorio.unesp.br:11449/233486Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:22:57.649157Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Suppression of Fermi Acceleration in the Oval Billiard |
| title |
Suppression of Fermi Acceleration in the Oval Billiard |
| spellingShingle |
Suppression of Fermi Acceleration in the Oval Billiard Leonel, Edson Denis [UNESP] |
| title_short |
Suppression of Fermi Acceleration in the Oval Billiard |
| title_full |
Suppression of Fermi Acceleration in the Oval Billiard |
| title_fullStr |
Suppression of Fermi Acceleration in the Oval Billiard |
| title_full_unstemmed |
Suppression of Fermi Acceleration in the Oval Billiard |
| title_sort |
Suppression of Fermi Acceleration in the Oval Billiard |
| author |
Leonel, Edson Denis [UNESP] |
| author_facet |
Leonel, Edson Denis [UNESP] |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
| dc.contributor.author.fl_str_mv |
Leonel, Edson Denis [UNESP] |
| description |
We consider in this chapter the introduction of drag force in the oval billiard. As we have seen in Chap. 13 from the LRA conjecture, the chaotic dynamics in the static billiard is a sufficient condition to produce unlimited diffusion in the energy, i.e, Fermi acceleration, when a time perturbation to the boundary is introduced. We show in this chapter that the introduction of a drag force of the type F∝ - V, or F∝ ± V2 or F∝ - Vδ with δ≠ 1 and δ≠ 2 destroys the unlimited energy growth for an ensemble of particles. This result is a clear indication that Fermi acceleration is not a robust phenomena. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-01-01 2022-05-01T08:45:05Z 2022-05-01T08:45:05Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/bookPart |
| format |
bookPart |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-981-16-3544-1_14 Nonlinear Physical Science, p. 191-203. 1867-8459 1867-8440 http://hdl.handle.net/11449/233486 10.1007/978-981-16-3544-1_14 2-s2.0-85114317558 |
| url |
http://dx.doi.org/10.1007/978-981-16-3544-1_14 http://hdl.handle.net/11449/233486 |
| identifier_str_mv |
Nonlinear Physical Science, p. 191-203. 1867-8459 1867-8440 10.1007/978-981-16-3544-1_14 2-s2.0-85114317558 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Nonlinear Physical Science |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
191-203 |
| 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_ |
1808129315122970624 |