On the statistical and transport properties of a non-dissipative Fermi-Ulam model

Detalhes bibliográficos
Autor(a) principal: Livorati, André L.P. [UNESP]
Data de Publicação: 2015
Outros Autores: 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/10.1063/L4930843
http://hdl.handle.net/11449/168020
Resumo: The transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system consists of an ensemble of noninteracting particles confined to move along and experience elastic collisions with two infinitely heavy walls. One is fixed, working as a returning mechanism of the colliding particles, while the other one moves periodically in time. The diffusion equation is solved, and the diffusion coefficient is numerically estimated by means of the averaged square velocity. Our results show remarkably good agreement of the theory and simulation for the chaotic sea below the first elliptic island in the phase space. From the decay rates of the survival probability, we obtained transport properties that can be extended to other nonlinear mappings, as well to billiard problems.
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spelling On the statistical and transport properties of a non-dissipative Fermi-Ulam modelThe transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system consists of an ensemble of noninteracting particles confined to move along and experience elastic collisions with two infinitely heavy walls. One is fixed, working as a returning mechanism of the colliding particles, while the other one moves periodically in time. The diffusion equation is solved, and the diffusion coefficient is numerically estimated by means of the averaged square velocity. Our results show remarkably good agreement of the theory and simulation for the chaotic sea below the first elliptic island in the phase space. From the decay rates of the survival probability, we obtained transport properties that can be extended to other nonlinear mappings, as well to billiard problems.Departamento de Fésica UNESP - Univ. Estadual Paulista, Ave. 24A, 1515, Bela VistaInstituto de Fésica IFUSP - Universidade de Sâo Paulo Cidade Universittéria, Rua do Matâo, Tr.R 187School of Mathematics University of BristolAbdus Salam International Center for Theoretical Physics, Strada Costiera 11Departamento de Fésica UNESP - Univ. Estadual Paulista, Ave. 24A, 1515, Bela VistaUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)University of BristolAbdus Salam International Center for Theoretical PhysicsLivorati, André L.P. [UNESP]Dettmann, Carl P.Caldas, Iberê L.Leonel, Edson D. [UNESP]2018-12-11T16:39:15Z2018-12-11T16:39:15Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1063/L4930843Chaos, v. 25, n. 10, 2015.1054-1500http://hdl.handle.net/11449/16802010.1063/L49308432-s2.0-849419090902-s2.0-84941909090.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaos0,716info:eu-repo/semantics/openAccess2024-01-05T06:21:41Zoai:repositorio.unesp.br:11449/168020Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-05T06:21:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the statistical and transport properties of a non-dissipative Fermi-Ulam model
title On the statistical and transport properties of a non-dissipative Fermi-Ulam model
spellingShingle On the statistical and transport properties of a non-dissipative Fermi-Ulam model
Livorati, André L.P. [UNESP]
title_short On the statistical and transport properties of a non-dissipative Fermi-Ulam model
title_full On the statistical and transport properties of a non-dissipative Fermi-Ulam model
title_fullStr On the statistical and transport properties of a non-dissipative Fermi-Ulam model
title_full_unstemmed On the statistical and transport properties of a non-dissipative Fermi-Ulam model
title_sort On the statistical and transport properties of a non-dissipative Fermi-Ulam model
author Livorati, André L.P. [UNESP]
author_facet Livorati, André L.P. [UNESP]
Dettmann, Carl P.
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author_role author
author2 Dettmann, Carl P.
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
University of Bristol
Abdus Salam International Center for Theoretical Physics
dc.contributor.author.fl_str_mv Livorati, André L.P. [UNESP]
Dettmann, Carl P.
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
description The transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system consists of an ensemble of noninteracting particles confined to move along and experience elastic collisions with two infinitely heavy walls. One is fixed, working as a returning mechanism of the colliding particles, while the other one moves periodically in time. The diffusion equation is solved, and the diffusion coefficient is numerically estimated by means of the averaged square velocity. Our results show remarkably good agreement of the theory and simulation for the chaotic sea below the first elliptic island in the phase space. From the decay rates of the survival probability, we obtained transport properties that can be extended to other nonlinear mappings, as well to billiard problems.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01
2018-12-11T16:39:15Z
2018-12-11T16:39:15Z
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/10.1063/L4930843
Chaos, v. 25, n. 10, 2015.
1054-1500
http://hdl.handle.net/11449/168020
10.1063/L4930843
2-s2.0-84941909090
2-s2.0-84941909090.pdf
url http://dx.doi.org/10.1063/L4930843
http://hdl.handle.net/11449/168020
identifier_str_mv Chaos, v. 25, n. 10, 2015.
1054-1500
10.1063/L4930843
2-s2.0-84941909090
2-s2.0-84941909090.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos
0,716
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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_ 1797790205641490432

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