The leaking soft stadium
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1742-6596/2090/1/012036 http://hdl.handle.net/11449/230097 |
Resumo: | We soften the non zero y-boundary on a Bunimovich like quarter-stadium. The smoothing procedure is performed via an exponent monomial potential, the system becomes partially reflective, preserving the particle’s translation and rotational motion. By increasing the exponent value, the stadium’s boundaries become rigid and the system’s dynamics reaches a chaotic regime. We set a leaking soft stadium family by opening a limited region located at some place of its basis’s boundary, throughout which the particles can leak out. This work is an extension of our recently reported paper on this matter. We chase the particle’s trajectory and focus on the stadium transient behavior by means of the statistical analysis of the survival probability on the marginal orbits that never leave the system, the so called bouncing ball orbits. We compare these family orbits with the billiard’s transient chaos orbits. |
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The leaking soft stadiumWe soften the non zero y-boundary on a Bunimovich like quarter-stadium. The smoothing procedure is performed via an exponent monomial potential, the system becomes partially reflective, preserving the particle’s translation and rotational motion. By increasing the exponent value, the stadium’s boundaries become rigid and the system’s dynamics reaches a chaotic regime. We set a leaking soft stadium family by opening a limited region located at some place of its basis’s boundary, throughout which the particles can leak out. This work is an extension of our recently reported paper on this matter. We chase the particle’s trajectory and focus on the stadium transient behavior by means of the statistical analysis of the survival probability on the marginal orbits that never leave the system, the so called bouncing ball orbits. We compare these family orbits with the billiard’s transient chaos orbits.Instituto de Física Universidade Federal de Catalão, GODepartamento de Física IGCE UNESP, SPDepartamento de Física IGCE UNESP, SPUniversidade Federal de CatalãoUniversidade Estadual Paulista (UNESP)Espinoza Ortiz, J. S.Lagos-Monaco, R. E. [UNESP]2022-04-29T08:37:46Z2022-04-29T08:37:46Z2021-12-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1088/1742-6596/2090/1/012036Journal of Physics: Conference Series, v. 2090, n. 1, 2021.1742-65961742-6588http://hdl.handle.net/11449/23009710.1088/1742-6596/2090/1/0120362-s2.0-85121557582Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccess2022-04-29T08:37:46Zoai:repositorio.unesp.br:11449/230097Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:09:28.382092Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The leaking soft stadium |
title |
The leaking soft stadium |
spellingShingle |
The leaking soft stadium Espinoza Ortiz, J. S. |
title_short |
The leaking soft stadium |
title_full |
The leaking soft stadium |
title_fullStr |
The leaking soft stadium |
title_full_unstemmed |
The leaking soft stadium |
title_sort |
The leaking soft stadium |
author |
Espinoza Ortiz, J. S. |
author_facet |
Espinoza Ortiz, J. S. Lagos-Monaco, R. E. [UNESP] |
author_role |
author |
author2 |
Lagos-Monaco, R. E. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Catalão Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Espinoza Ortiz, J. S. Lagos-Monaco, R. E. [UNESP] |
description |
We soften the non zero y-boundary on a Bunimovich like quarter-stadium. The smoothing procedure is performed via an exponent monomial potential, the system becomes partially reflective, preserving the particle’s translation and rotational motion. By increasing the exponent value, the stadium’s boundaries become rigid and the system’s dynamics reaches a chaotic regime. We set a leaking soft stadium family by opening a limited region located at some place of its basis’s boundary, throughout which the particles can leak out. This work is an extension of our recently reported paper on this matter. We chase the particle’s trajectory and focus on the stadium transient behavior by means of the statistical analysis of the survival probability on the marginal orbits that never leave the system, the so called bouncing ball orbits. We compare these family orbits with the billiard’s transient chaos orbits. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-12-02 2022-04-29T08:37:46Z 2022-04-29T08:37:46Z |
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/10.1088/1742-6596/2090/1/012036 Journal of Physics: Conference Series, v. 2090, n. 1, 2021. 1742-6596 1742-6588 http://hdl.handle.net/11449/230097 10.1088/1742-6596/2090/1/012036 2-s2.0-85121557582 |
url |
http://dx.doi.org/10.1088/1742-6596/2090/1/012036 http://hdl.handle.net/11449/230097 |
identifier_str_mv |
Journal of Physics: Conference Series, v. 2090, n. 1, 2021. 1742-6596 1742-6588 10.1088/1742-6596/2090/1/012036 2-s2.0-85121557582 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics: Conference Series |
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_ |
1808129398272950272 |