Explaining a changeover from normal to super diffusion in time-dependent billiards

Detalhes bibliográficos
Autor(a) principal: Hansen, Matheus
Data de Publicação: 2018
Outros Autores: Ciro, David, 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/10.1209/0295-5075/121/60003
http://hdl.handle.net/11449/171026
Resumo: The changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent of the number of collisions with the boundary, therefore exhibiting normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed.
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spelling Explaining a changeover from normal to super diffusion in time-dependent billiardsThe changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent of the number of collisions with the boundary, therefore exhibiting normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed.Instituto de Física Universidade de Saõ PauloInstituto de Física Universidade Federal Do ParanáDepartamento de Física UNESPDepartamento de Física UNESPUniversidade de Saõ PauloUniversidade Federal do Paraná (UFPR)Universidade Estadual Paulista (Unesp)Hansen, MatheusCiro, DavidCaldas, Iberê L.Leonel, Edson D. [UNESP]2018-12-11T16:53:25Z2018-12-11T16:53:25Z2018-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1209/0295-5075/121/60003EPL, v. 121, n. 6, 2018.1286-48540295-5075http://hdl.handle.net/11449/17102610.1209/0295-5075/121/600032-s2.0-850473624012-s2.0-85047362401.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEPL0,4980,498info:eu-repo/semantics/openAccess2023-10-28T06:04:41Zoai:repositorio.unesp.br:11449/171026Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-28T06:04:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Explaining a changeover from normal to super diffusion in time-dependent billiards
title Explaining a changeover from normal to super diffusion in time-dependent billiards
spellingShingle Explaining a changeover from normal to super diffusion in time-dependent billiards
Hansen, Matheus
title_short Explaining a changeover from normal to super diffusion in time-dependent billiards
title_full Explaining a changeover from normal to super diffusion in time-dependent billiards
title_fullStr Explaining a changeover from normal to super diffusion in time-dependent billiards
title_full_unstemmed Explaining a changeover from normal to super diffusion in time-dependent billiards
title_sort Explaining a changeover from normal to super diffusion in time-dependent billiards
author Hansen, Matheus
author_facet Hansen, Matheus
Ciro, David
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author_role author
author2 Ciro, David
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de Saõ Paulo
Universidade Federal do Paraná (UFPR)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Hansen, Matheus
Ciro, David
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
description The changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent of the number of collisions with the boundary, therefore exhibiting normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T16:53:25Z
2018-12-11T16:53:25Z
2018-03-01
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/10.1209/0295-5075/121/60003
EPL, v. 121, n. 6, 2018.
1286-4854
0295-5075
http://hdl.handle.net/11449/171026
10.1209/0295-5075/121/60003
2-s2.0-85047362401
2-s2.0-85047362401.pdf
url http://dx.doi.org/10.1209/0295-5075/121/60003
http://hdl.handle.net/11449/171026
identifier_str_mv EPL, v. 121, n. 6, 2018.
1286-4854
0295-5075
10.1209/0295-5075/121/60003
2-s2.0-85047362401
2-s2.0-85047362401.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv EPL
0,498
0,498
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
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