Characterization of a continuous phase transition in a chaotic system
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1209/0295-5075/131/20002 http://hdl.handle.net/11449/202102 |
Resumo: | Some characteristics of scaling invariance are discussed for a transition from integrability to non-integrability in a class of dynamical systems described by a two-dimensional, nonlinear and area-preserving mapping. The dynamical variables are action I and angle θ and that the angle diverges in the limit of vanishingly action. The transition is controlled by a parameter closely related to the order parameter. A scaling invariance observed for the average squared action along the chaotic sea gives evidence that the transition observed from integrability to non-integrability is equivalent to a second-order, also called continuous, phase transition since when the order parameter approaches zero at the same time the response of the order parameter to the conjugate field (susceptibility) diverges. This investigation allows application to a wide class of systems and transitions, including transition from limited to unlimited chaotic diffusion in dissipative systems and also in a transition from limited to unlimited Fermi acceleration in time-dependent billiard systems. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
Characterization of a continuous phase transition in a chaotic systemSome characteristics of scaling invariance are discussed for a transition from integrability to non-integrability in a class of dynamical systems described by a two-dimensional, nonlinear and area-preserving mapping. The dynamical variables are action I and angle θ and that the angle diverges in the limit of vanishingly action. The transition is controlled by a parameter closely related to the order parameter. A scaling invariance observed for the average squared action along the chaotic sea gives evidence that the transition observed from integrability to non-integrability is equivalent to a second-order, also called continuous, phase transition since when the order parameter approaches zero at the same time the response of the order parameter to the conjugate field (susceptibility) diverges. This investigation allows application to a wide class of systems and transitions, including transition from limited to unlimited chaotic diffusion in dissipative systems and also in a transition from limited to unlimited Fermi acceleration in time-dependent billiard systems.Departamento de Física Univ. Estadual Paulista, Unesp-Av. 24A,1515Universidade Estadual Paulista (UNESP) Campus de Saõ Joaõ da Boa Vista, Av. Profa. Isette Correâ Fontaõ 505Universidade Estadual Paulista (UNESP) Campus de Saõ Joaõ da Boa Vista, Av. Profa. Isette Correâ Fontaõ 505Universidade Estadual Paulista (Unesp)Leonel, Edson D. [UNESP]Yoshida, Makoto [UNESP]Antonio De Oliveira, Juliano [UNESP]2020-12-12T02:49:51Z2020-12-12T02:49:51Z2020-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1209/0295-5075/131/20002EPL, v. 131, n. 2, 2020.1286-48540295-5075http://hdl.handle.net/11449/20210210.1209/0295-5075/131/200022-s2.0-85090919266Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEPLinfo:eu-repo/semantics/openAccess2021-10-23T05:55:13Zoai:repositorio.unesp.br:11449/202102Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:14:06.591022Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Characterization of a continuous phase transition in a chaotic system |
title |
Characterization of a continuous phase transition in a chaotic system |
spellingShingle |
Characterization of a continuous phase transition in a chaotic system Leonel, Edson D. [UNESP] |
title_short |
Characterization of a continuous phase transition in a chaotic system |
title_full |
Characterization of a continuous phase transition in a chaotic system |
title_fullStr |
Characterization of a continuous phase transition in a chaotic system |
title_full_unstemmed |
Characterization of a continuous phase transition in a chaotic system |
title_sort |
Characterization of a continuous phase transition in a chaotic system |
author |
Leonel, Edson D. [UNESP] |
author_facet |
Leonel, Edson D. [UNESP] Yoshida, Makoto [UNESP] Antonio De Oliveira, Juliano [UNESP] |
author_role |
author |
author2 |
Yoshida, Makoto [UNESP] Antonio De Oliveira, Juliano [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Leonel, Edson D. [UNESP] Yoshida, Makoto [UNESP] Antonio De Oliveira, Juliano [UNESP] |
description |
Some characteristics of scaling invariance are discussed for a transition from integrability to non-integrability in a class of dynamical systems described by a two-dimensional, nonlinear and area-preserving mapping. The dynamical variables are action I and angle θ and that the angle diverges in the limit of vanishingly action. The transition is controlled by a parameter closely related to the order parameter. A scaling invariance observed for the average squared action along the chaotic sea gives evidence that the transition observed from integrability to non-integrability is equivalent to a second-order, also called continuous, phase transition since when the order parameter approaches zero at the same time the response of the order parameter to the conjugate field (susceptibility) diverges. This investigation allows application to a wide class of systems and transitions, including transition from limited to unlimited chaotic diffusion in dissipative systems and also in a transition from limited to unlimited Fermi acceleration in time-dependent billiard systems. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T02:49:51Z 2020-12-12T02:49:51Z 2020-07-01 |
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/10.1209/0295-5075/131/20002 EPL, v. 131, n. 2, 2020. 1286-4854 0295-5075 http://hdl.handle.net/11449/202102 10.1209/0295-5075/131/20002 2-s2.0-85090919266 |
url |
http://dx.doi.org/10.1209/0295-5075/131/20002 http://hdl.handle.net/11449/202102 |
identifier_str_mv |
EPL, v. 131, n. 2, 2020. 1286-4854 0295-5075 10.1209/0295-5075/131/20002 2-s2.0-85090919266 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
EPL |
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_ |
1808128484535435264 |