The soft stadium's classical dynamics
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1742-6596/1391/1/012038 http://hdl.handle.net/11449/199944 |
Resumo: | Billiards are physical models employed to probe experiments that measure the conductivity of quantum dots. In this context, the stadium billiard have been adopted as an standard model for realizations. We study the effect of softening in a classical mechanics context, pursuing a more realistic model. This classical approach is a first step towards the truly quantum or semiclassical case. We define the soft stadium as a monomial potential with an exponent α ∈ as a parameter, such that for α = 1 the system is integrable and the α → ∞ limit converges to the hard billiard. Then, and for computational simplicity, we set up the construction of the classical Poincare map in such a way that it only depends on the partial separability of the system which holds for all α's. We present numerical results describing the classical transition from the integrable regime towards the chaotic regime. |
id |
UNSP_1e1777a3d9522ac42e26a62d62df7ca6 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/199944 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
The soft stadium's classical dynamicsBilliards are physical models employed to probe experiments that measure the conductivity of quantum dots. In this context, the stadium billiard have been adopted as an standard model for realizations. We study the effect of softening in a classical mechanics context, pursuing a more realistic model. This classical approach is a first step towards the truly quantum or semiclassical case. We define the soft stadium as a monomial potential with an exponent α ∈ as a parameter, such that for α = 1 the system is integrable and the α → ∞ limit converges to the hard billiard. Then, and for computational simplicity, we set up the construction of the classical Poincare map in such a way that it only depends on the partial separability of the system which holds for all α's. We present numerical results describing the classical transition from the integrable regime towards the chaotic regime.Departamento de Física Universidade Federal de GoiásDepartamento de Física IGCE UNESPDepartamento de Física IGCE UNESPUniversidade Federal de Goiás (UFG)Universidade Estadual Paulista (Unesp)Espinoza Ortiz, J. S.Lagos, R. E. [UNESP]2020-12-12T01:53:31Z2020-12-12T01:53:31Z2019-12-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1088/1742-6596/1391/1/012038Journal of Physics: Conference Series, v. 1391, n. 1, 2019.1742-65961742-6588http://hdl.handle.net/11449/19994410.1088/1742-6596/1391/1/0120382-s2.0-85077820876Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccess2021-10-23T10:11:28Zoai:repositorio.unesp.br:11449/199944Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:29:47.217554Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The soft stadium's classical dynamics |
title |
The soft stadium's classical dynamics |
spellingShingle |
The soft stadium's classical dynamics Espinoza Ortiz, J. S. |
title_short |
The soft stadium's classical dynamics |
title_full |
The soft stadium's classical dynamics |
title_fullStr |
The soft stadium's classical dynamics |
title_full_unstemmed |
The soft stadium's classical dynamics |
title_sort |
The soft stadium's classical dynamics |
author |
Espinoza Ortiz, J. S. |
author_facet |
Espinoza Ortiz, J. S. Lagos, R. E. [UNESP] |
author_role |
author |
author2 |
Lagos, R. E. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Goiás (UFG) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Espinoza Ortiz, J. S. Lagos, R. E. [UNESP] |
description |
Billiards are physical models employed to probe experiments that measure the conductivity of quantum dots. In this context, the stadium billiard have been adopted as an standard model for realizations. We study the effect of softening in a classical mechanics context, pursuing a more realistic model. This classical approach is a first step towards the truly quantum or semiclassical case. We define the soft stadium as a monomial potential with an exponent α ∈ as a parameter, such that for α = 1 the system is integrable and the α → ∞ limit converges to the hard billiard. Then, and for computational simplicity, we set up the construction of the classical Poincare map in such a way that it only depends on the partial separability of the system which holds for all α's. We present numerical results describing the classical transition from the integrable regime towards the chaotic regime. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-12-13 2020-12-12T01:53:31Z 2020-12-12T01:53:31Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1742-6596/1391/1/012038 Journal of Physics: Conference Series, v. 1391, n. 1, 2019. 1742-6596 1742-6588 http://hdl.handle.net/11449/199944 10.1088/1742-6596/1391/1/012038 2-s2.0-85077820876 |
url |
http://dx.doi.org/10.1088/1742-6596/1391/1/012038 http://hdl.handle.net/11449/199944 |
identifier_str_mv |
Journal of Physics: Conference Series, v. 1391, n. 1, 2019. 1742-6596 1742-6588 10.1088/1742-6596/1391/1/012038 2-s2.0-85077820876 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics: Conference Series |
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_ |
1808128661537161216 |