A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.physa.2015.05.065 http://hdl.handle.net/11449/167922 |
Resumo: | We have shown that a break of symmetry of the probability distribution and a biased random walk behavior lead the dynamics of a two dimensional mapping to present unlimited diffusion. The mapping considered describes the dynamics of the Fermi-Ulam model forced by a stochastic perturbation. For the conservative dynamics and considering a high initial velocity/energy, we explain the changeover from a plateau to a regime of unlimited diffusion using arguments based on a break of symmetry of the probability distribution of the velocity and a biased random walk behavior for the energy. For the dissipative case we end up with a scaling result using arguments of steady state so far obtained numerically in the literature before. The break of symmetry used here can be extended to many other different models to explain transitions from limited to unlimited growth, including billiard problems. |
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A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mappingDissipationFermi accelerationScalingWe have shown that a break of symmetry of the probability distribution and a biased random walk behavior lead the dynamics of a two dimensional mapping to present unlimited diffusion. The mapping considered describes the dynamics of the Fermi-Ulam model forced by a stochastic perturbation. For the conservative dynamics and considering a high initial velocity/energy, we explain the changeover from a plateau to a regime of unlimited diffusion using arguments based on a break of symmetry of the probability distribution of the velocity and a biased random walk behavior for the energy. For the dissipative case we end up with a scaling result using arguments of steady state so far obtained numerically in the literature before. The break of symmetry used here can be extended to many other different models to explain transitions from limited to unlimited growth, including billiard problems.Departamento de Física, UNESP - Univ Estadual Paulista, Bela Vista, Av.24A 1515Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana University, 919 E. 10th StreetDepartamento de Estatística, Matemática Aplicada e Computação, UNESP - Univ Estadual Paulista, Bela Vista, Av.24A 1515Abdus Salam International Center for Theoretical Physics, Strada Costiera 11Departamento de Física, UNESP - Univ Estadual Paulista, Bela Vista, Av.24A 1515Departamento de Estatística, Matemática Aplicada e Computação, UNESP - Univ Estadual Paulista, Bela Vista, Av.24A 1515Universidade Estadual Paulista (Unesp)Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana UniversityAbdus Salam International Center for Theoretical PhysicsOliveira, Diego F.M. [UNESP]Roberto Silva, Mario [UNESP]Leonel, Edson D. [UNESP]2018-12-11T16:38:52Z2018-12-11T16:38:52Z2015-07-21info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article909-915http://dx.doi.org/10.1016/j.physa.2015.05.065Physica A: Statistical Mechanics and its Applications, v. 436, p. 909-915.0378-4371http://hdl.handle.net/11449/16792210.1016/j.physa.2015.05.0652-s2.0-849375974762-s2.0-84937597476.pdf2-s2.0-84937597476.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysica A: Statistical Mechanics and its Applications0,773info:eu-repo/semantics/openAccess2021-10-23T15:48:43Zoai:repositorio.unesp.br:11449/167922Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T15:48:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
title |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
spellingShingle |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping Oliveira, Diego F.M. [UNESP] Dissipation Fermi acceleration Scaling |
title_short |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
title_full |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
title_fullStr |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
title_full_unstemmed |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
title_sort |
A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping |
author |
Oliveira, Diego F.M. [UNESP] |
author_facet |
Oliveira, Diego F.M. [UNESP] Roberto Silva, Mario [UNESP] Leonel, Edson D. [UNESP] |
author_role |
author |
author2 |
Roberto Silva, Mario [UNESP] Leonel, Edson D. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana University Abdus Salam International Center for Theoretical Physics |
dc.contributor.author.fl_str_mv |
Oliveira, Diego F.M. [UNESP] Roberto Silva, Mario [UNESP] Leonel, Edson D. [UNESP] |
dc.subject.por.fl_str_mv |
Dissipation Fermi acceleration Scaling |
topic |
Dissipation Fermi acceleration Scaling |
description |
We have shown that a break of symmetry of the probability distribution and a biased random walk behavior lead the dynamics of a two dimensional mapping to present unlimited diffusion. The mapping considered describes the dynamics of the Fermi-Ulam model forced by a stochastic perturbation. For the conservative dynamics and considering a high initial velocity/energy, we explain the changeover from a plateau to a regime of unlimited diffusion using arguments based on a break of symmetry of the probability distribution of the velocity and a biased random walk behavior for the energy. For the dissipative case we end up with a scaling result using arguments of steady state so far obtained numerically in the literature before. The break of symmetry used here can be extended to many other different models to explain transitions from limited to unlimited growth, including billiard problems. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-07-21 2018-12-11T16:38:52Z 2018-12-11T16:38:52Z |
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/10.1016/j.physa.2015.05.065 Physica A: Statistical Mechanics and its Applications, v. 436, p. 909-915. 0378-4371 http://hdl.handle.net/11449/167922 10.1016/j.physa.2015.05.065 2-s2.0-84937597476 2-s2.0-84937597476.pdf 2-s2.0-84937597476.pdf |
url |
http://dx.doi.org/10.1016/j.physa.2015.05.065 http://hdl.handle.net/11449/167922 |
identifier_str_mv |
Physica A: Statistical Mechanics and its Applications, v. 436, p. 909-915. 0378-4371 10.1016/j.physa.2015.05.065 2-s2.0-84937597476 2-s2.0-84937597476.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physica A: Statistical Mechanics and its Applications 0,773 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
909-915 |
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_ |
1799965158255099904 |