Multiple Reflections for Classical Particles Moving under the Influence of a Time-Dependent Potential Well

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dc.contributor.authorGraciano, Flávio Heleno [UNESP]
dc.contributor.authorda Costa, Diogo Ricardo [UNESP]
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorde Oliveira, Juliano A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionInstituto Federal do Sul de Minas Gerais (IFSULDEMINAS)
dc.contributor.institutionUniversidade Federal do Paraná (UFPR)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2023-07-29T13:25:58Z
dc.date.available2023-07-29T13:25:58Z
dc.date.issued2022-10-01
dc.description.abstractWe study the dynamics of classical particles confined in a time-dependent potential well. The dynamics of each particle is described by a two-dimensional nonlinear discrete mapping for the variables energy (Formula presented.) and phase (Formula presented.) of the periodic moving well. We obtain the phase space and show that it contains periodic islands, chaotic sea, and invariant spanning curves. We find the elliptic and hyperbolic fixed points and discuss a numerical method to obtain them. We study the dispersion of the initial conditions after a single iteration. This study allows finding regions where multiple reflections occur. Multiple reflections happen when a particle does not have enough energy to exit the potential well and is trapped inside it, suffering several reflections until it has enough energy to exit. We also show deformations in regions with multiple reflection, but the area remains constant when we change the control parameter (Formula presented.). Finally, we show some structures that appear in the (Formula presented.) plane by using density plots.en
dc.description.affiliationDepartamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Av. 24A, 1515, SP
dc.description.affiliationInstituto Federal do Sul de Minas Gerais (IFSULDEMINAS), Campus Pouso Alegre, Avenida Maria da Conceição Santos nº 900, Bairro Parque Real, MG
dc.description.affiliationDepartamento de Física Universidade Federal do Paraná (UFPR), PR
dc.description.affiliationInstituto de Matemática e Estatística da Universidade de São Paulo (IME-USP), Rua do Matão, 1010, SP
dc.description.affiliationUniversidade Estadual Paulista, Câmpus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505, SP
dc.description.affiliationUnespDepartamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Av. 24A, 1515, SP
dc.description.affiliationUnespUniversidade Estadual Paulista, Câmpus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505, SP
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdCNPq: 162944/2020-9
dc.description.sponsorshipIdCNPq: 301318/2019-0
dc.description.sponsorshipIdCNPq: 303242/2018-3
dc.description.sponsorshipIdCNPq: 303707/2015-1
dc.description.sponsorshipIdCNPq: 309649/2021-8
dc.description.sponsorshipIdCNPq: 311105/2015-7
dc.description.sponsorshipIdCNPq: 421254/2016-5
dc.identifierhttp://dx.doi.org/10.3390/e24101427
dc.identifier.citationEntropy, v. 24, n. 10, 2022.
dc.identifier.doi10.3390/e24101427
dc.identifier.issn1099-4300
dc.identifier.scopus2-s2.0-85140578033
dc.identifier.urihttp://hdl.handle.net/11449/247791
dc.language.isoeng
dc.relation.ispartofEntropy
dc.sourceScopus
dc.subjectdispersion of the initial conditions
dc.subjectmultiple reflections
dc.subjecttime-dependent potential well
dc.titleMultiple Reflections for Classical Particles Moving under the Influence of a Time-Dependent Potential Wellen
dc.typeArtigo
unesp.author.orcid0000-0003-3906-8267[1]
unesp.author.orcid0000-0001-7238-4777[4]

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Artigos - Física - IGCE