Transition from normal to ballistic diffusion in a one-dimensional impact system

Detalhes bibliográficos
Autor(a) principal: Livorati, André L. P. [UNESP]
Data de Publicação: 2018
Outros Autores: Kroetz, Tiago, Dettmann, Carl P., Caldas, Iberê L., 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.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.
id UNSP_4f3fb3ff3398f6a0f84df0b1bf20bfe1
oai_identifier_str oai:repositorio.unesp.br:11449/170797
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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