Transition from normal to ballistic diffusion in a one-dimensional impact system
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.97.032205 http://hdl.handle.net/11449/170797 |
Resumo: | We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of noninteracting particles, experiencing elastic collisions with a heavy and periodically moving wall under the influence of a constant gravitational field. The dynamics lead to a mixed phase space where chaotic orbits have a free path to move along the velocity axis, presenting a normal diffusion behavior. Depending on the control parameter, one can observe the presence of featured resonances, known as accelerator modes, that lead to a ballistic growth of velocity. Through statistical and numerical analysis of the velocity of the particle, we are able to characterize a transition between the two regimes, where transport properties were used to characterize the scenario of the ballistic regime. Also, in an analysis of the probability of an orbit to reach an accelerator mode as a function of the velocity, we observe a competition between the normal and ballistic transport in the midrange velocity. |
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Repositório Institucional da UNESP |
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Transition from normal to ballistic diffusion in a one-dimensional impact systemWe characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of noninteracting particles, experiencing elastic collisions with a heavy and periodically moving wall under the influence of a constant gravitational field. The dynamics lead to a mixed phase space where chaotic orbits have a free path to move along the velocity axis, presenting a normal diffusion behavior. Depending on the control parameter, one can observe the presence of featured resonances, known as accelerator modes, that lead to a ballistic growth of velocity. Through statistical and numerical analysis of the velocity of the particle, we are able to characterize a transition between the two regimes, where transport properties were used to characterize the scenario of the ballistic regime. Also, in an analysis of the probability of an orbit to reach an accelerator mode as a function of the velocity, we observe a competition between the normal and ballistic transport in the midrange velocity.Departamento de Física UNESP Universidade Estadual Paulista, Av. 24A 1515, Bela VistaSchool of Mathematics University of BristolDepartamento Acadêmico de Física Universidade Tecnológica Federal Do Paraná UTFPR Campus Pato BrancoInstituto de Física IFUSP Universidade de São Paulo USP Cidade Universitária, Rua do Matão Tr.R 187Departamento de Física UNESP Universidade Estadual Paulista, Av. 24A 1515, Bela VistaUniversidade Estadual Paulista (Unesp)University of BristolUniversidade Tecnológica Federal Do Paraná UTFPRUniversidade de São Paulo (USP)Livorati, André L. P. [UNESP]Kroetz, TiagoDettmann, Carl P.Caldas, Iberê L.Leonel, Edson D. [UNESP]2018-12-11T16:52:27Z2018-12-11T16:52:27Z2018-03-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.97.032205Physical Review E, v. 97, n. 3, 2018.2470-00532470-0045http://hdl.handle.net/11449/17079710.1103/PhysRevE.97.0322052-s2.0-85044170487Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E0,9790,979info:eu-repo/semantics/openAccess2021-10-23T16:43:38Zoai:repositorio.unesp.br:11449/170797Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:32:44.477242Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
title |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
spellingShingle |
Transition from normal to ballistic diffusion in a one-dimensional impact system Livorati, André L. P. [UNESP] |
title_short |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
title_full |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
title_fullStr |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
title_full_unstemmed |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
title_sort |
Transition from normal to ballistic diffusion in a one-dimensional impact system |
author |
Livorati, André L. P. [UNESP] |
author_facet |
Livorati, André L. P. [UNESP] Kroetz, Tiago Dettmann, Carl P. Caldas, Iberê L. Leonel, Edson D. [UNESP] |
author_role |
author |
author2 |
Kroetz, Tiago Dettmann, Carl P. Caldas, Iberê L. Leonel, Edson D. [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of Bristol Universidade Tecnológica Federal Do Paraná UTFPR Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Livorati, André L. P. [UNESP] Kroetz, Tiago Dettmann, Carl P. Caldas, Iberê L. Leonel, Edson D. [UNESP] |
description |
We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of noninteracting particles, experiencing elastic collisions with a heavy and periodically moving wall under the influence of a constant gravitational field. The dynamics lead to a mixed phase space where chaotic orbits have a free path to move along the velocity axis, presenting a normal diffusion behavior. Depending on the control parameter, one can observe the presence of featured resonances, known as accelerator modes, that lead to a ballistic growth of velocity. Through statistical and numerical analysis of the velocity of the particle, we are able to characterize a transition between the two regimes, where transport properties were used to characterize the scenario of the ballistic regime. Also, in an analysis of the probability of an orbit to reach an accelerator mode as a function of the velocity, we observe a competition between the normal and ballistic transport in the midrange velocity. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T16:52:27Z 2018-12-11T16:52:27Z 2018-03-09 |
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.97.032205 Physical Review E, v. 97, n. 3, 2018. 2470-0053 2470-0045 http://hdl.handle.net/11449/170797 10.1103/PhysRevE.97.032205 2-s2.0-85044170487 |
url |
http://dx.doi.org/10.1103/PhysRevE.97.032205 http://hdl.handle.net/11449/170797 |
identifier_str_mv |
Physical Review E, v. 97, n. 3, 2018. 2470-0053 2470-0045 10.1103/PhysRevE.97.032205 2-s2.0-85044170487 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E 0,979 0,979 |
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_ |
1808128668557377536 |